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## Plemmons, Robert James

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 Author ID: plemmons.robert-james Published as: Plemmons, R.; Plemmons, R. J.; Plemmons, Robert; Plemmons, Robert J.; Plemmons, Robert James
 Documents Indexed: 139 Publications since 1965, including 12 Books Biographic References: 2 Publications
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#### Co-Authors

 24 single-authored 10 Berman, Abraham S. 9 Nagy, James Gerard 8 Ng, Michael Kwok-Po 7 Neumann, Michael 6 Chan, Raymond Hon-Fu 5 Berry, Michael W. 5 Funderlic, Robert E. 5 Golub, Gene Howard 4 Chu, Moody T. 4 Heath, Michael T. 4 Nath Datta, Biswa 4 Pauca, V. Paul 4 Pierce, Daniel J. 3 Cline, Randall E. 3 Gallivan, Kyle A. 3 Hadjidimos, Apostolos 3 Montague, J. S. 3 Pauca, Victor P. 3 Reichel, Lothar 3 Sameh, Ahmed H. 2 Alexander, S. Thomas 2 Barker, George Phillip 2 Berisha, Sebastian 2 Henkel, Charles S. 2 Johnson, Charles Royal 2 Kaneko, Ikuyo 2 Meyer, Carl Dean jun. 2 Nikolova, Mila 2 Ortega, James M. 2 Pan, Ching-Tsuan 2 Sun, Xiaobai 2 Torgersen, Todd C. 2 Ward, Robert C. 2 West, M. T. 2 Ye, Qiang 1 Abraham, Y. B. 1 Barlow, Jesse L. 1 Björck, Åke 1 Bojanczyk, Adam W. 1 Brown, J. David 1 Browne, Murray 1 Brualdi, Richard Anthony 1 Carlson, David Hilding 1 Catral, Minerva 1 Cecilio, W. A. G. 1 Chen, Donghui 1 Cline, Randell E. 1 Cochran, W. K. 1 Datta, Biswa Tosh 1 Ellerbroek, Brent L. 1 Ellison, Donald C. 1 Erway, Jennifer B. 1 Ferng, William R. 1 George, Jeffrey A. 1 Ghirnikar, Avinash L. 1 Gillis, Nicolas 1 Gunzburger, Max D. 1 Guy, Richard T. 1 Han, Lixing 1 Hanke-Bourgeois, Martin 1 Harrod, William J. 1 Hartfiel, Darald J. 1 Holzwarth, N. A. W. 1 Horn, Roger Alan 1 Hu, Xiaofei 1 Hume, David 1 Ip, Edward Haksing 1 James, Douglas 1 Kaashoek, Marinus Adriaan 1 Kammerer, William J. 1 Kan, Kelvin K. 1 Kontovasilis, Kimon P. 1 Langville, Amy N. 1 Lawo, M. 1 Li, Fang 1 Litsey, James 1 Luk, Franklin T. 1 Markham, Thomas L. 1 Maxson, Carlton J. 1 Morigi, Serena 1 Ng, Esmond G. 1 Nichols, Nancy K. 1 Pan, Junhao 1 Parlett, Beresford Neill 1 Peyton, Barry W. 1 Pimentel, Felipe 1 Piper, Jim 1 Prasad, Sudhakar 1 Qiao, Sanzheng 1 Rojas, Marielba 1 Romine, Charles H. 1 Schein, Boris M. 1 Schneider, Hans 1 Sgallari, Fiorella 1 Shahnaz, Farial 1 Shui-Hong, Lui 1 Sontag, Eduardo D. 1 Stewart, William J. 1 Tamura, Takayuki 1 Voigt, Robert G. ...and 12 more Co-Authors
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#### Serials

 24 Linear Algebra and its Applications 6 Numerische Mathematik 6 Proceedings of the American Mathematical Society 5 SIAM Journal on Scientific and Statistical Computing 5 SIAM Journal on Algebraic and Discrete Methods 5 SIAM Journal on Matrix Analysis and Applications 3 Linear and Multilinear Algebra 3 SIAM Journal on Numerical Analysis 3 SIAM Journal on Applied Mathematics 3 Numerical Linear Algebra with Applications 2 Mathematics of Computation 2 BIT 2 Calcolo 2 Czechoslovak Mathematical Journal 2 Journal of Computational and Applied Mathematics 2 Pacific Journal of Mathematics 2 Southeast Asian Bulletin of Mathematics 2 SIAM Review 2 SIAM Journal on Scientific Computing 2 ETNA. Electronic Transactions on Numerical Analysis 1 Acta Universitatis Carolinae. Mathematica et Physica 1 Computers and Electrical Engineering 1 Computer Methods in Applied Mechanics and Engineering 1 Information Processing and Management 1 Israel Journal of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Canadian Journal of Mathematics 1 International Journal for Numerical Methods in Engineering 1 Journal of Algebra 1 Journal of Approximation Theory 1 Journal of the Association for Computing Machinery 1 Mathematische Nachrichten 1 Semigroup Forum 1 Statistics & Probability Letters 1 MCSS. Mathematics of Control, Signals, and Systems 1 Numerical Algorithms 1 Computational Statistics and Data Analysis 1 Journal of Mathematical Imaging and Vision 1 Mathematical Inequalities & Applications 1 IEEE Transactions on Image Processing 1 HERMIS-$$\mu\pi$$. Hellenic European Research on Mathematics and Informatics Science 1 Bulletin of the American Mathematical Society 1 Proceedings of the Japan Academy 1 Classics in Applied Mathematics 1 Contemporary Mathematics 1 The IMA Volumes in Mathematics and its Applications 1 SIAM Journal on Imaging Sciences 1 Journal of Electrical and Computer Engineering
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#### Fields

 91 Numerical analysis (65-XX) 46 Linear and multilinear algebra; matrix theory (15-XX) 15 Information and communication theory, circuits (94-XX) 12 Group theory and generalizations (20-XX) 12 Probability theory and stochastic processes (60-XX) 12 Operations research, mathematical programming (90-XX) 12 Systems theory; control (93-XX) 11 Computer science (68-XX) 10 Statistics (62-XX) 9 General and overarching topics; collections (00-XX) 8 Mechanics of deformable solids (74-XX) 7 Partial differential equations (35-XX) 7 Geophysics (86-XX) 5 Astronomy and astrophysics (85-XX) 4 Fluid mechanics (76-XX) 4 Optics, electromagnetic theory (78-XX) 3 Integral equations (45-XX) 2 Mathematical logic and foundations (03-XX) 2 Combinatorics (05-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX)

#### Citations contained in zbMATH

126 Publications have been cited 4,335 times in 3,436 Documents Cited by Year
Nonnegative matrices in the mathematical sciences. Zbl 0484.15016
Berman, Abraham; Plemmons, Robert J.
1979
Nonnegative matrices in the mathematical sciences. Zbl 0815.15016
Berman, Abraham; Plemmons, Robert J.
1994
M-matrix characterizations. I: nonsingular M-matrices. Zbl 0359.15005
Plemmons, R. J.
1977
Convergence of parallel multisplitting iterative methods for M-matrices. Zbl 0626.65025
Neumann, M.; Plemmons, R. J.
1987
Algorithms and applications for approximate nonnegative matrix factorization. Zbl 05560147
Berry, Michael W.; Browne, Murray; Langville, Amy N.; Pauca, V. Paul; Plemmons, Robert J.
2007
Cones and iterative methods for best least squares solutions of linear systems. Zbl 0244.65024
Berman, Abraham; Plemmons, Robert J.
1974
Positive diagonal solutions to the Lyapunov equations. Zbl 0385.15006
Barker, G. P.; Berman, A.; Plemmons, R. J.
1978
Nonnegative matrix factorization for spectral data analysis. Zbl 1096.65033
Pauca, V. Paul; Piper, J.; Plemmons, Robert J.
2006
Document clustering using nonnegative matrix factorization. Zbl 1087.68104
Shahnaz, Farial; Berry, Michael W.; Pauca, V. Paul; Plemmons, Robert J.
2006
Preconditioned iterative regularization for ill-posed problems. Zbl 0794.65039
Hanke, Martin; Nagy, James; Plemmons, Robert
1993
Convergent powers of a matrix with applications to iterative methods for singular linear systems. Zbl 0366.65017
Meyer, Carl D. jun.; Plemmons, R. J.
1977
Convergence of a direct-iterative method for large-scale least-squares problems. Zbl 0576.65026
Markham, T. L.; Neumann, M.; Plemmons, R. J.
1985
Monotonicity and the generalized inverse. Zbl 0255.15005
Berman, Abraham; Plemmons, Robert J.
1972
Structured low rank approximation. Zbl 1018.65057
Chu, Moody T.; Funderlic, Robert E.; Plemmons, Robert J.
2003
Eight types of matrix monotonicity. Zbl 0341.15013
Berman, A.; Plemmons, R. J.
1976
Generalized inverses of certain Toeplitz matrices. Zbl 0273.15004
Cline, R. E.; Plemmons, R. J.; Worm, G.
1974
Inverses of nonnegative matrices. Zbl 0328.15003
Berman, Abraham; Plemmons, Robert J.
1974
LU decomposition of M-matrices by elimination without pivoting. Zbl 0473.65011
Funderlic, R. E.; Plemmons, R. J.
1981
Matrix group monotonicity. Zbl 0312.15002
Berman, Abraham; Plemmons, Robert J.
1974
FFT-based preconditioners for Toeplitz-block least squares problems. Zbl 0793.65029
Chan, Raymond H.; Nagy, James G.; Plemmons, Robert J.
1993
An algorithm to compute a sparse basis of the null space. Zbl 0548.65024
Berry, M. W.; Heath, M. T.; Kaneko, I.; Lawo, M.; Plemmons, R. J.; Ward, R. C.
1985
Comparison of some direct methods for computing stationary distributions of Markov chains. Zbl 0574.65147
Harrod, W. J.; Plemmons, R. J.
1984
Parallel algorithms for dense linear algebra computations. Zbl 0697.65010
Gallivan, K. A.; Plemmons, R. J.; Sameh, A. H.
1990
Analysis of a recursive least squares hyperbolic rotation algorithm for signal processing. Zbl 0639.94004
Alexander, S. T.; Pan, C.-T.; Plemmons, R. J.
1988
Sparse orthogonal schemes for structural optimization using the force method. Zbl 0575.65031
Heath, M. T.; Plemmons, R. J.; Ward, R. C.
1984
M-matrices leading to semiconvergent splittings. Zbl 0358.15016
Plemmons, R. J.
1976
Large-scale geodetic least-squares adjustment by dissection and orthogonal decomposition. Zbl 0468.65012
Golub, Gene H.; Plemmons, Robert J.
1980
Regular splittings and the discrete Neumann problem. Zbl 0319.65028
Plemmons, R. J.
1976
Nonnegativity constraints in numerical analysis. Zbl 1192.65041
Chen, Donghui; Plemmons, Robert J.
2010
Circulant preconditioned Toeplitz least squares iterations. Zbl 0799.65046
Chan, Raymond H.; Nagy, James G.; Plemmons, Robert J.
1994
Optimality relationships for p-cyclic SOR. Zbl 0687.65034
Pierce, Daniel J.; Hadjidimos, Apostolos; Plemmons, Robert J.
1990
Maximal subgroups of the semigroup of relations. Zbl 0184.03703
Montague, J. S.; Plemmons, R. J.
1969
On reduced rank nonnegative matrix factorization for symmetric nonnegative matrices. Zbl 1085.15012
Catral, M.; Han, Lixing; Neumann, Michael; Plemmons, R. J.
2004
Generalized inverses of Boolean relation matrices. Zbl 0227.05013
Plemmons, R. J.
1971
On the semigroup of binary relations. Zbl 0199.30602
Plemmons, R. J.; West, M. T.
1971
Extensions of the Ostrowski-Reich theorem for SOR iterations. Zbl 0416.65024
Ortega, James M.; Plemmons, Robert J.
1979
The generalized inverse of a nonnegative matrix. Zbl 0241.15001
Plemmons, R. J.; Cline, R. E.
1972
Least squares modifications with inverse factorizations: Parallel implications. Zbl 0677.65037
Pan, C-T.; Plemmons, R. J.
1989
Iterative methods for equality-constrained least squares problems. Zbl 0659.65040
Barlow, J. L.; Nichols, N. K.; Plemmons, R. J.
1988
Generalized inverse-positivity and splittings of M-matrices. Zbl 0407.15005
Neumann, M.; Plemmons, R. J.
1979
On the semigroup of binary relations. Zbl 0208.01801
Plemmons, R. J.; West, M. T.
1971
Block cyclic SOR for Markov chains with $$p$$-cyclic infinitesimal generator. Zbl 0736.65094
Kontovasilis, Kimon; Plemmons, Robert J.; Stewart, William J.
1991
Regular nonnegative matrices. Zbl 0273.20051
Plemmons, Robert J.
1973
Monotonicity and iterative approximations involving rectangular matrices. Zbl 0263.65046
Plemmons, Robert J.
1972
Optimal $$p$$-cyclic SOR. Zbl 0803.65032
1994
Convergent iterations for computing stationary distributions of Markov chains. Zbl 0617.65027
Barker, G. P.; Plemmons, R. J.
1986
LU decompositions of generalized diagonally dominant matrices. Zbl 0481.65017
Funderlic, R. E.; Neumann, M.; Plemmons, R. J.
1982
Solution of large-scale sparse least squares problems using auxiliary storage. Zbl 0469.65021
George, J. A.; Heath, M. T.; Plemmons, R. J.
1981
Adjustment by least squares in geodesy using block iterative methods for sparse matrices. Zbl 0449.65014
Plemmons, R. J.
1979
Energy conserving norms for the solution of hyperbolic systems of partial differential equations. Zbl 0395.35060
Gunzburger, Max D.; Plemmons, Robert J.
1979
Groups of binary relations. Zbl 0211.03901
Plemmons, R. J.; Schein, B. M.
1970
Generalization of Strang’s preconditioner with applications to Toeplitz least squares problems. Zbl 0842.65029
Chan, Raymond H.; Ng, Michael K.; Plemmons, Robert J.
1996
A parallel block iterative scheme applied to computations in structural analysis. Zbl 0621.65059
Plemmons, Robert J.
1986
A new approach to constrained total least squares image restoration. Zbl 0960.65044
Ng, Michael K.; Plemmons, Robert J.; Pimentel, Felipe
2000
Analysis of $$p$$-cyclic iterations for Markov chains. Zbl 0789.65103
1993
Parallel algorithms for matrix computations. Zbl 0711.00021
Gallivan, K. A.; Heath, Michael T.; Ng, Esmond; Ortega, James M.; Peyton, Barry W.; Plemmons, R. J.; Romine, Charles H.; Sameh, A. H.; Voigt, Robert G.
1990
Updating LU factorizations for computing stationary distributions. Zbl 0592.65014
Funderlic, R. E.; Plemmons, R. J.
1986
Minimum norm solutions to linear elastic analysis problems. Zbl 0535.73066
Kaneko, I.; Plemmons, R. J.
1984
Convex matrix equations. Zbl 0262.15011
Montague, J. S.; Plemmons, R. J.
1972
Coupled segmentation and denoising/deblurring models for hyperspectral material identification. Zbl 1274.94005
Li, Fang; Ng, Michael K.; Plemmons, Robert J.
2012
Fast recursive least squares adaptive filtering by fast Fourier transform-based conjugate gradient iterations. Zbl 0860.65030
Ng, Michael K.; Plemmons, Robert J.
1996
A combined direct-iterative method for certain M-matrix linear systems. Zbl 0532.65019
Funderlic, R. E.; Plemmons, R. J.
1984
$$l_2$$-solutions to underdetermined linear systems. Zbl 0343.65015
Cline, R. E.; Plemmons, R. J.
1976
Direct iterative methods for least-squares solutions to singular operator equations. Zbl 0323.47014
Kammerer, W. J.; Plemmons, R. J.
1975
Doubly stochastic matrix equations. Zbl 0273.15014
Montague, J. S.; Plemmons, R. J.
1973
Semi-conjugate direction methods for real positive definite systems. Zbl 1052.65026
Yuan, J. Y.; Golub, G. H.; Plemmons, R. J.; Cecilio, W. A. G.
2004
Block RLS using row Householder reflections. Zbl 0781.65032
Bojanczyk, Adam W.; Nagy, James G.; Plemmons, Robert J.
1993
Substructuring methods for computing the nullspace of equilibrium matrices. Zbl 0704.65030
Plemmons, R. J.; White, R. E.
1990
Computing a banded basis of the null space on the Denelcor HEP multiprocessor. Zbl 0591.65034
Berry, M. W.; Plemmons, Robert J.
1985
Adaptive Lanczos methods for recursive condition estimation. Zbl 0794.65043
Ferng, William R.; Golub, Gene H.; Plemmons, Robert J.
1991
Backward error analysis for linear systems associated with inverses of H- matrices. Zbl 0557.65019
Neumann, M.; Plemmons, R. J.
1984
M-matrix characterizations II: General M-matrices. Zbl 0455.15006
Neumann, M.; Plemmons, R. J.
1980
Fast adaptive condition estimation. Zbl 0747.65029
Pierce, Daniel J.; Plemmons, Robert J.
1992
Recursive least squares on a hypercube multiprocessor using the covariance factorization. Zbl 0718.65027
Henkel, Charles S.; Plemmons, Robert J.
1991
Direct iterative methods for linear systems using weak splittings. Zbl 0318.65017
Plemmons, R. J.
1975
Linear least squares by elimination and MGS. Zbl 0289.65019
Plemmons, Robert J.
1974
Ng, Michael K.; Plemmons, Robert J.
1996
Displacement preconditioner for Toeplitz least squares iterations. Zbl 0809.65038
Chan, Raymond H.; Nagy, James G.; Plemmons, Robert J.
1994
Algorithms and experiments for structural mechanics on high-performance architectures. Zbl 0611.73088
Berry, M. W.; Plemmons, R. J.
1987
A note on Green’s relations on the semigroup $$N_n$$. Zbl 0351.20037
Hartfiel, D. J.; Maxson, C. J.; Plemmons, R. J.
1977
Graphs and nonnegative matrices. Zbl 0242.15002
Plemmons, R. J.
1972
Generating polynomials for finite semigroups. Zbl 0221.20074
Plemmons, R. J.; Yoshida, R.
1970
Sparse nonnegative matrix underapproximation and its application to hyperspectral image analysis. Zbl 1281.65032
Gillis, Nicolas; Plemmons, Robert J.
2013
Real-valued, low rank, circulant approximation. Zbl 1035.65043
Chu, Moody T.; Plemmons, Robert J.
2003
A mathematical framework for the linear reconstructor problem in adapative optics. Zbl 0961.65117
Chu, Moody T.; Pauca, Victor P.; Plemmons, Robert J.; Sun, Xiaobai
2000
Structured matrix representations of two-parameter Hankel transforms in adaptive optics. Zbl 0963.65141
Pauca, V. P.; Ellerbroek, B. L.; Plemmons, R. J.; Sun, X.
2000
Tracking the condition number for RLS in signal processing. Zbl 0747.93083
Pierce, Daniel J.; Plemmons, Robert J.
1992
A hybrid multilevel-active set method for large box-constrained linear discrete ill-posed problems. Zbl 1216.65047
Morigi, S.; Plemmons, R.; Reichel, L.; Sgallari, F.
2011
Regularized blind deconvolution using recursive inverse filtering. Zbl 1114.68584
Ng, Michael K.; Plemmons, Robert J.; Qiao, Sanzheng
1998
Proceedings of the Cornelius Lanczos international centenary conference held at North Carolina State University, Raleigh, NC, USA, December 12–17, 1993. Zbl 0812.00032
Brown, J. David (ed.); Chu, Moody T. (ed.); Ellison, Donald C. (ed.); Plemmons, Robert J. (ed.)
1994
A parallel implementation of the inverse QR adaptive filter. Zbl 0850.93814
Ghirnikar, Avinash L.; Alexander, S. T.; Plemmons, R. J.
1992
Recursive least squares computations. Zbl 0719.65029
Plemmons, Robert J.
1990
An iterative substructuring algorithm for equilibrium equations. Zbl 0708.65037
James, Douglas; Plemmons, Robert J.
1990
A two-level preconditioned conjugate gradient scheme. Zbl 0692.65012
Pierce, D. J.; Plemmons, R. J.
1988
Diagonal scaling to an orthogonal matrix. Zbl 0498.65024
Berman, A.; Parlett, B. N.; Plemmons, R. J.
1981
Spectral inverses of stochastic matrices. Zbl 0261.15013
Wall, J. R.; Plemmons, R. J.
1972
Graphs associated with a group. Zbl 0195.26001
Plemmons, R. J.
1970
On computing non-equivalent finite algebraic systems. Zbl 0247.20088
Plemmons, Robert J.
1967
Maximal ideals in the direct product of two semigroups. Zbl 0189.02001
Plemmons, R.
1967
Some computational problems arising in adaptive optics imaging systems. Zbl 0964.65150
Plemmons, Robert J.; Pauca, Victor P.
2000
Estimation of atmospheric PSF parameters for hyperspectral imaging. Zbl 1374.94044
Berisha, Sebastian; Nagy, James G.; Plemmons, Robert J.
2015
Deblurring and sparse unmixing of hyperspectral images using multiple point spread functions. Zbl 1325.94029
Berisha, Sebastian; Nagy, James G.; Plemmons, Robert J.
2015
Sparse nonnegative matrix underapproximation and its application to hyperspectral image analysis. Zbl 1281.65032
Gillis, Nicolas; Plemmons, Robert J.
2013
Coupled segmentation and denoising/deblurring models for hyperspectral material identification. Zbl 1274.94005
Li, Fang; Ng, Michael K.; Plemmons, Robert J.
2012
Randomized SVD methods in hyperspectral imaging. Zbl 1253.68120
Zhang, Jiani; Erway, Jennifer; Hu, Xiaofei; Zhang, Qiang; Plemmons, Robert
2012
A hybrid multilevel-active set method for large box-constrained linear discrete ill-posed problems. Zbl 1216.65047
Morigi, S.; Plemmons, R.; Reichel, L.; Sgallari, F.
2011
Nonnegativity constraints in numerical analysis. Zbl 1192.65041
Chen, Donghui; Plemmons, Robert J.
2010
Algorithms and applications for approximate nonnegative matrix factorization. Zbl 05560147
Berry, Michael W.; Browne, Murray; Langville, Amy N.; Pauca, V. Paul; Plemmons, Robert J.
2007
Nonnegative matrix factorization for spectral data analysis. Zbl 1096.65033
Pauca, V. Paul; Piper, J.; Plemmons, Robert J.
2006
Document clustering using nonnegative matrix factorization. Zbl 1087.68104
Shahnaz, Farial; Berry, Michael W.; Pauca, V. Paul; Plemmons, Robert J.
2006
On reduced rank nonnegative matrix factorization for symmetric nonnegative matrices. Zbl 1085.15012
Catral, M.; Han, Lixing; Neumann, Michael; Plemmons, R. J.
2004
Semi-conjugate direction methods for real positive definite systems. Zbl 1052.65026
Yuan, J. Y.; Golub, G. H.; Plemmons, R. J.; Cecilio, W. A. G.
2004
Structured low rank approximation. Zbl 1018.65057
Chu, Moody T.; Funderlic, Robert E.; Plemmons, Robert J.
2003
Real-valued, low rank, circulant approximation. Zbl 1035.65043
Chu, Moody T.; Plemmons, Robert J.
2003
Exploiting Toeplitz structure in atmospheric image restoration. Zbl 0998.68669
Cochran, W. K.; Plemmons, R. J.; Torgersen, T. C.
2001
A new approach to constrained total least squares image restoration. Zbl 0960.65044
Ng, Michael K.; Plemmons, Robert J.; Pimentel, Felipe
2000
A mathematical framework for the linear reconstructor problem in adapative optics. Zbl 0961.65117
Chu, Moody T.; Pauca, Victor P.; Plemmons, Robert J.; Sun, Xiaobai
2000
Structured matrix representations of two-parameter Hankel transforms in adaptive optics. Zbl 0963.65141
Pauca, V. P.; Ellerbroek, B. L.; Plemmons, R. J.; Sun, X.
2000
Some computational problems arising in adaptive optics imaging systems. Zbl 0964.65150
Plemmons, Robert J.; Pauca, Victor P.
2000
Regularized blind deconvolution using recursive inverse filtering. Zbl 1114.68584
Ng, Michael K.; Plemmons, Robert J.; Qiao, Sanzheng
1998
Scientific computing, WSC ’97. Proceedings of the workshop held in Hong Kong, March 10–12, 1997. Zbl 0910.00057
Golub, Gene H. (ed.); Shui-Hong, Lui (ed.); Luk, Franklin T. (ed.); Plemmons, Robert James (ed.)
1998
A note on simultaneously diagonalizable matrices. Zbl 0889.15009
Berman, Abraham; Plemmons, Robert J.
1998
Inverse problems in atmospheric imaging. Zbl 0899.76012
Plemmons, Robert J.
1997
Generalization of Strang’s preconditioner with applications to Toeplitz least squares problems. Zbl 0842.65029
Chan, Raymond H.; Ng, Michael K.; Plemmons, Robert J.
1996
Fast recursive least squares adaptive filtering by fast Fourier transform-based conjugate gradient iterations. Zbl 0860.65030
Ng, Michael K.; Plemmons, Robert J.
1996
Ng, Michael K.; Plemmons, Robert J.
1996
Degradation reduction in optics imagery using Toeplitz structure. Zbl 0904.65132
Nagy, James G.; Pauca, V. Paul; Plemmons, Robert J.; Torgersen, Todd C.
1996
LMS-Newton adaptive filtering using FFT. Zbl 0856.93037
Ng, Michael K.; Plemmons, Robert J.
1996
Some applications of iterative deconvolution. Zbl 0860.65134
Plemmons, Robert J.
1996
Nonnegative matrices in the mathematical sciences. Zbl 0815.15016
Berman, Abraham; Plemmons, Robert J.
1994
Circulant preconditioned Toeplitz least squares iterations. Zbl 0799.65046
Chan, Raymond H.; Nagy, James G.; Plemmons, Robert J.
1994
Optimal $$p$$-cyclic SOR. Zbl 0803.65032
1994
Displacement preconditioner for Toeplitz least squares iterations. Zbl 0809.65038
Chan, Raymond H.; Nagy, James G.; Plemmons, Robert J.
1994
Proceedings of the Cornelius Lanczos international centenary conference held at North Carolina State University, Raleigh, NC, USA, December 12–17, 1993. Zbl 0812.00032
Brown, J. David (ed.); Chu, Moody T. (ed.); Ellison, Donald C. (ed.); Plemmons, Robert J. (ed.)
1994
Fast recursive least squares using the FFT. Zbl 0856.93036
Ng, Michael K.; Plemmons, Robert J.
1994
Preconditioned iterative regularization for ill-posed problems. Zbl 0794.65039
Hanke, Martin; Nagy, James; Plemmons, Robert
1993
FFT-based preconditioners for Toeplitz-block least squares problems. Zbl 0793.65029
Chan, Raymond H.; Nagy, James G.; Plemmons, Robert J.
1993
Analysis of $$p$$-cyclic iterations for Markov chains. Zbl 0789.65103
1993
Block RLS using row Householder reflections. Zbl 0781.65032
Bojanczyk, Adam W.; Nagy, James G.; Plemmons, Robert J.
1993
Linear algebra, Markov chains, and queueing models. Proceedings of the workshop held as part of the year of applied linear algebra at the Institute for Mathematics and its Applications in Minnesota, MN, USA, January 13-17, 1992. Zbl 0779.00020
Meyer, Carl D. (ed.); Plemmons, Robert J. (ed.)
1993
Fast adaptive condition estimation. Zbl 0747.65029
Pierce, Daniel J.; Plemmons, Robert J.
1992
Tracking the condition number for RLS in signal processing. Zbl 0747.93083
Pierce, Daniel J.; Plemmons, Robert J.
1992
A parallel implementation of the inverse QR adaptive filter. Zbl 0850.93814
Ghirnikar, Avinash L.; Alexander, S. T.; Plemmons, R. J.
1992
An inverse factorization algorithm for linear prediction. Zbl 0763.65108
Nagy, James; Plemmons, Robert J.
1992
Block cyclic SOR for Markov chains with $$p$$-cyclic infinitesimal generator. Zbl 0736.65094
Kontovasilis, Kimon; Plemmons, Robert J.; Stewart, William J.
1991
Adaptive Lanczos methods for recursive condition estimation. Zbl 0794.65043
Ferng, William R.; Golub, Gene H.; Plemmons, Robert J.
1991
Recursive least squares on a hypercube multiprocessor using the covariance factorization. Zbl 0718.65027
Henkel, Charles S.; Plemmons, Robert J.
1991
Parallel recursive least squares on a hypercube multiprocessor. Zbl 0738.65037
Henkel, Charles S.; Plemmons, Robert J.
1991
Parallel algorithms for dense linear algebra computations. Zbl 0697.65010
Gallivan, K. A.; Plemmons, R. J.; Sameh, A. H.
1990
Optimality relationships for p-cyclic SOR. Zbl 0687.65034
Pierce, Daniel J.; Hadjidimos, Apostolos; Plemmons, Robert J.
1990
Parallel algorithms for matrix computations. Zbl 0711.00021
Gallivan, K. A.; Heath, Michael T.; Ng, Esmond; Ortega, James M.; Peyton, Barry W.; Plemmons, R. J.; Romine, Charles H.; Sameh, A. H.; Voigt, Robert G.
1990
Substructuring methods for computing the nullspace of equilibrium matrices. Zbl 0704.65030
Plemmons, R. J.; White, R. E.
1990
Recursive least squares computations. Zbl 0719.65029
Plemmons, Robert J.
1990
An iterative substructuring algorithm for equilibrium equations. Zbl 0708.65037
James, Douglas; Plemmons, Robert J.
1990
Parallel algorithms for dense linear algebra computations. Zbl 0714.65025
Gallivan, K. A.; Plemmons, R. J.; Sameh, A. H.
1990
Least squares modifications with inverse factorizations: Parallel implications. Zbl 0677.65037
Pan, C-T.; Plemmons, R. J.
1989
An efficient parallel scheme for minimizing a sum of Euclidean norms. Zbl 0677.65061
Plemmons, Robert J.; Wright, Stephen J.
1989
Analysis of a recursive least squares hyperbolic rotation algorithm for signal processing. Zbl 0639.94004
Alexander, S. T.; Pan, C.-T.; Plemmons, R. J.
1988
Iterative methods for equality-constrained least squares problems. Zbl 0659.65040
Barlow, J. L.; Nichols, N. K.; Plemmons, R. J.
1988
A two-level preconditioned conjugate gradient scheme. Zbl 0692.65012
Pierce, D. J.; Plemmons, R. J.
1988
Linear algebra in signals, systems and control. Proceedings of the SIAM conference on linear algebra in signals, systems, and control, Boston, Mass., August 12-14, 1986. Zbl 0661.00019
Datta, Biswa Nath (ed.); Johnson, Charles R. (ed.); Kaashoek, Marinus A. (ed.); Plemmons, Robert J. (ed.); Sontag, Eduardo D. (ed.)
1988
Convergence of parallel multisplitting iterative methods for M-matrices. Zbl 0626.65025
Neumann, M.; Plemmons, R. J.
1987
Algorithms and experiments for structural mechanics on high-performance architectures. Zbl 0611.73088
Berry, M. W.; Plemmons, R. J.
1987
Parallel multisplitting iterative methods. Zbl 0655.65062
Plemmons, Robert J.
1987
Convergent iterations for computing stationary distributions of Markov chains. Zbl 0617.65027
Barker, G. P.; Plemmons, R. J.
1986
A parallel block iterative scheme applied to computations in structural analysis. Zbl 0621.65059
Plemmons, Robert J.
1986
Updating LU factorizations for computing stationary distributions. Zbl 0592.65014
Funderlic, R. E.; Plemmons, R. J.
1986
Convergence of a direct-iterative method for large-scale least-squares problems. Zbl 0576.65026
Markham, T. L.; Neumann, M.; Plemmons, R. J.
1985
An algorithm to compute a sparse basis of the null space. Zbl 0548.65024
Berry, M. W.; Heath, M. T.; Kaneko, I.; Lawo, M.; Plemmons, R. J.; Ward, R. C.
1985
Computing a banded basis of the null space on the Denelcor HEP multiprocessor. Zbl 0591.65034
Berry, M. W.; Plemmons, Robert J.
1985
Comparison of some direct methods for computing stationary distributions of Markov chains. Zbl 0574.65147
Harrod, W. J.; Plemmons, R. J.
1984
Sparse orthogonal schemes for structural optimization using the force method. Zbl 0575.65031
Heath, M. T.; Plemmons, R. J.; Ward, R. C.
1984
Minimum norm solutions to linear elastic analysis problems. Zbl 0535.73066
Kaneko, I.; Plemmons, R. J.
1984
A combined direct-iterative method for certain M-matrix linear systems. Zbl 0532.65019
Funderlic, R. E.; Plemmons, R. J.
1984
Backward error analysis for linear systems associated with inverses of H- matrices. Zbl 0557.65019
Neumann, M.; Plemmons, R. J.
1984
LU decompositions of generalized diagonally dominant matrices. Zbl 0481.65017
Funderlic, R. E.; Neumann, M.; Plemmons, R. J.
1982
LU decomposition of M-matrices by elimination without pivoting. Zbl 0473.65011
Funderlic, R. E.; Plemmons, R. J.
1981
Solution of large-scale sparse least squares problems using auxiliary storage. Zbl 0469.65021
George, J. A.; Heath, M. T.; Plemmons, R. J.
1981
Diagonal scaling to an orthogonal matrix. Zbl 0498.65024
Berman, A.; Parlett, B. N.; Plemmons, R. J.
1981
Large scale matrix problems. Zbl 0443.65010
Björck, Åke (ed.); Plemmons, Robert J. (ed.); Schneider, Hans (ed.)
1981
Software for ordering large sparse least squares problems prior to Givens reduction. Zbl 0503.65023
Hume, David; Litsey, James; Plemmons, Robert
1981
Large-scale geodetic least-squares adjustment by dissection and orthogonal decomposition. Zbl 0468.65012
Golub, Gene H.; Plemmons, Robert J.
1980
M-matrix characterizations II: General M-matrices. Zbl 0455.15006
Neumann, M.; Plemmons, R. J.
1980
Sparse least squares problems. Zbl 0438.65040
Golub, Gene H.; Plemmons, Robert J.
1980
Nonnegative matrices in the mathematical sciences. Zbl 0484.15016
Berman, Abraham; Plemmons, Robert J.
1979
Extensions of the Ostrowski-Reich theorem for SOR iterations. Zbl 0416.65024
Ortega, James M.; Plemmons, Robert J.
1979
Generalized inverse-positivity and splittings of M-matrices. Zbl 0407.15005
Neumann, M.; Plemmons, R. J.
1979
Adjustment by least squares in geodesy using block iterative methods for sparse matrices. Zbl 0449.65014
Plemmons, R. J.
1979
Energy conserving norms for the solution of hyperbolic systems of partial differential equations. Zbl 0395.35060
Gunzburger, Max D.; Plemmons, Robert J.
1979
Positive diagonal solutions to the Lyapunov equations. Zbl 0385.15006
Barker, G. P.; Berman, A.; Plemmons, R. J.
1978
M-matrix characterizations. I: nonsingular M-matrices. Zbl 0359.15005
Plemmons, R. J.
1977
Convergent powers of a matrix with applications to iterative methods for singular linear systems. Zbl 0366.65017
Meyer, Carl D. jun.; Plemmons, R. J.
1977
A note on Green’s relations on the semigroup $$N_n$$. Zbl 0351.20037
Hartfiel, D. J.; Maxson, C. J.; Plemmons, R. J.
1977
Eight types of matrix monotonicity. Zbl 0341.15013
Berman, A.; Plemmons, R. J.
1976
M-matrices leading to semiconvergent splittings. Zbl 0358.15016
Plemmons, R. J.
1976
Regular splittings and the discrete Neumann problem. Zbl 0319.65028
Plemmons, R. J.
1976
$$l_2$$-solutions to underdetermined linear systems. Zbl 0343.65015
Cline, R. E.; Plemmons, R. J.
1976
Direct iterative methods for least-squares solutions to singular operator equations. Zbl 0323.47014
Kammerer, W. J.; Plemmons, R. J.
1975
Direct iterative methods for linear systems using weak splittings. Zbl 0318.65017
Plemmons, R. J.
1975
Note on a splitting approach to ill-conditioned least squares problems. Zbl 0331.15005
Plemmons, Robert J.
1975
...and 26 more Documents
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#### Cited by 3,894 Authors

 81 Neumann, Michael 53 Huang, Ting-Zhu 51 Plemmons, Robert James 49 Hadjidimos, Apostolos 37 Bai, Zhongzhi 33 Johnson, Charles Royal 31 Wei, Yimin 29 Berman, Abraham S. 29 Schneider, Hans 27 Song, Yongzhong 25 Li, Wen 23 Li, Yaotang 23 Sivakumar, Koratti Chengalrayan 22 Cao, Jinde 22 Pham Huu Anh Ngoc 22 van den Driessche, Pauline 20 Hershkowitz, Daniel 19 Evans, David John 19 Tsatsomeros, Michael J. 18 Noutsos, Dimitrios 18 Peña, Juan Manuel 17 Cvetković, Ljiljana 17 Haddad, Wassim Michael 17 Huang, Lihong 17 Jain, Surender Kumar 17 Kolotilina, Lily Yu. 17 Ng, Michael Kwok-Po 17 Szyld, Daniel B. 17 Wang, Yuanming 16 Gowda, Muddappa Seetharama 16 Li, Chaoqian 16 Ma, Changfeng 16 Marek, Ivo 16 Zheng, Bing 15 Hui, Qing 15 Lin, Wen-Wei 15 Mayer, Günter 15 Reichel, Lothar 15 Wang, Chuanlong 15 Wang, Jinliang 14 Mishra, Debasisha 14 Zheng, Hua 13 Benzi, Michele 13 Bru, Rafael 13 Elsner, Ludwig F. 13 Frommer, Andreas 13 Guiver, Chris 13 Kuniya, Toshikazu 13 Liu, Xingping 13 Nagy, James Gerard 13 Tzoumas, Michael G. 13 Xu, Daoyi 12 Guo, Chun-Hua 12 Lam, James 12 Liu, Zhongyun 12 Olesky, D. Dale 12 Rothblum, Uriel George 12 Smith, Hal Leslie 12 Smith, Ronald L. 12 Zhang, Guofeng 12 Zhang, Xiaodong 11 Huang, Zhengge 11 Jiang, Daqing 11 Kirkland, Stephen J. 11 Kostić, Vladimir R. 11 Li, Jicheng 11 Tam, Bit-Shun 11 Varga, Richard Steven 11 Xia, Yonghui 11 Yun, Jae Heon 11 Zhang, Chengyi 10 Cao, Zhihao 10 Chen, Guoliang 10 Cui, Jingjing 10 Dai, Pingfan 10 Kirkland, Steve J. 10 Li, Kelin 10 Liu, Jianzhou 10 Mao, Xuerong 10 Mcdonald, Judith Joanne 10 Mehrmann, Volker 10 Muroya, Yoshiaki 10 Nabben, Reinhard 10 Qi, Liqun 10 Shuai, Zhisheng 10 Stuart, Jeffrey L. 10 Tam, Bitshun 10 Tao, Jiyuan 10 Wang, Li 10 Wang, Ligong 10 Wu, Shiliang 10 Wu, Yujiang 10 Xu, Jianhong 10 Yin, Junfeng 10 Zhao, Jianxing 9 Li, Changjun 9 Liang, Zhao-Zheng 9 Lu, Linzhang 9 Mason, Oliver 9 Shorten, Robert N. ...and 3,794 more Authors
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#### Cited in 386 Serials

 805 Linear Algebra and its Applications 195 Applied Mathematics and Computation 166 Journal of Computational and Applied Mathematics 83 Computers & Mathematics with Applications 73 Linear and Multilinear Algebra 69 Automatica 66 Numerical Algorithms 58 Numerische Mathematik 50 Journal of Mathematical Analysis and Applications 49 International Journal of Computer Mathematics 49 Numerical Linear Algebra with Applications 48 Systems & Control Letters 39 Applied Mathematics Letters 38 Applied Numerical Mathematics 34 Journal of Mathematical Biology 34 Mathematical Biosciences 34 SIAM Journal on Algebraic and Discrete Methods 32 BIT 30 Calcolo 28 Journal of the Franklin Institute 23 Semigroup Forum 22 Chaos, Solitons and Fractals 22 Czechoslovak Mathematical Journal 21 Journal of Computational Physics 21 SIAM Journal on Matrix Analysis and Applications 20 Journal of Optimization Theory and Applications 20 International Journal of Robust and Nonlinear Control 20 Journal of Inequalities and Applications 20 Nonlinear Analysis. Real World Applications 20 Journal of Applied Mathematics and Computing 19 Physics Letters. A 19 Proceedings of the American Mathematical Society 19 Computational and Applied Mathematics 18 Neural Networks 17 International Journal of Control 17 Mathematics of Computation 16 Positivity 16 Journal of Applied Mathematics 16 Advances in Difference Equations 15 Bulletin of Mathematical Biology 14 Mathematical Programming. Series A. Series B 14 Journal of Mathematical Sciences (New York) 14 Abstract and Applied Analysis 13 Mathematical and Computer Modelling 13 Journal of Scientific Computing 13 Mathematical Problems in Engineering 13 Journal of Biological Dynamics 11 Journal of Global Optimization 11 European Journal of Operational Research 11 European Journal of Control 11 Discrete and Continuous Dynamical Systems. Series B 10 Computer Methods in Applied Mechanics and Engineering 10 Computing 10 Journal of Differential Equations 10 Mathematics and Computers in Simulation 10 Numerical Functional Analysis and Optimization 10 Physica D 10 Acta Mathematicae Applicatae Sinica. English Series 10 Applied Mathematical Modelling 10 Computational Optimization and Applications 10 SIAM Journal on Scientific Computing 10 Parallel Algorithms and Applications 10 Journal of Theoretical Biology 9 Discrete Mathematics 9 Theoretical Computer Science 9 Neural Computation 9 Stochastic Processes and their Applications 9 Journal of Difference Equations and Applications 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Advances in Computational Mathematics 8 International Journal of Applied Mathematics and Computer Science 8 Open Mathematics 7 Mathematical Methods in the Applied Sciences 7 Information Sciences 7 International Journal for Numerical Methods in Engineering 7 SIAM Journal on Control and Optimization 7 Transactions of the American Mathematical Society 7 MCSS. Mathematics of Control, Signals, and Systems 7 Queueing Systems 7 The Annals of Applied Probability 7 Pattern Recognition 7 Applied Mathematics. Series B (English Edition) 7 ELA. The Electronic Journal of Linear Algebra 7 Data Mining and Knowledge Discovery 7 Communications in Nonlinear Science and Numerical Simulation 7 Nonlinear Analysis. Theory, Methods & Applications 6 Advances in Applied Probability 6 Rocky Mountain Journal of Mathematics 6 Mathematische Zeitschrift 6 Results in Mathematics 6 Acta Applicandae Mathematicae 6 SIAM Journal on Applied Mathematics 6 Nonlinear Dynamics 6 Discrete Dynamics in Nature and Society 6 Mathematical Biosciences and Engineering 6 Nonlinear Analysis. Hybrid Systems 6 Special Matrices 5 Computers and Fluids 5 International Journal of Systems Science 5 Information Processing Letters ...and 286 more Serials
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#### Cited in 58 Fields

 1,395 Numerical analysis (65-XX) 1,170 Linear and multilinear algebra; matrix theory (15-XX) 437 Biology and other natural sciences (92-XX) 405 Systems theory; control (93-XX) 385 Ordinary differential equations (34-XX) 320 Operations research, mathematical programming (90-XX) 238 Probability theory and stochastic processes (60-XX) 225 Combinatorics (05-XX) 180 Computer science (68-XX) 170 Partial differential equations (35-XX) 115 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 103 Dynamical systems and ergodic theory (37-XX) 101 Operator theory (47-XX) 87 Statistics (62-XX) 80 Information and communication theory, circuits (94-XX) 69 Group theory and generalizations (20-XX) 54 Calculus of variations and optimal control; optimization (49-XX) 48 Difference and functional equations (39-XX) 33 Fluid mechanics (76-XX) 32 Integral equations (45-XX) 29 Convex and discrete geometry (52-XX) 28 Statistical mechanics, structure of matter (82-XX) 21 Functional analysis (46-XX) 21 Mechanics of deformable solids (74-XX) 19 Order, lattices, ordered algebraic structures (06-XX) 15 Real functions (26-XX) 13 Nonassociative rings and algebras (17-XX) 12 Approximations and expansions (41-XX) 11 Mathematical logic and foundations (03-XX) 11 Number theory (11-XX) 10 Associative rings and algebras (16-XX) 10 Classical thermodynamics, heat transfer (80-XX) 9 Algebraic geometry (14-XX) 9 Measure and integration (28-XX) 9 General topology (54-XX) 8 History and biography (01-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Quantum theory (81-XX) 6 General and overarching topics; collections (00-XX) 6 Geophysics (86-XX) 5 Commutative algebra (13-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Mechanics of particles and systems (70-XX) 4 General algebraic systems (08-XX) 4 Differential geometry (53-XX) 4 Optics, electromagnetic theory (78-XX) 4 Astronomy and astrophysics (85-XX) 3 Category theory; homological algebra (18-XX) 3 Topological groups, Lie groups (22-XX) 3 Functions of a complex variable (30-XX) 3 Potential theory (31-XX) 3 Sequences, series, summability (40-XX) 3 Integral transforms, operational calculus (44-XX) 3 Geometry (51-XX) 2 Field theory and polynomials (12-XX) 2 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Manifolds and cell complexes (57-XX)