Edit Profile Plemmons, Robert James Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 0484.15016Berman, Abraham; Plemmons, Robert J. 1,582 1979 Nonnegative matrices in the mathematical sciences. Zbl 0815.15016Berman, Abraham; Plemmons, Robert J. 1,001 1994 M-matrix characterizations. I: nonsingular M-matrices. Zbl 0359.15005Plemmons, R. J. 116 1977 Convergence of parallel multisplitting iterative methods for M-matrices. Zbl 0626.65025Neumann, M.; Plemmons, R. J. 113 1987 Algorithms and applications for approximate nonnegative matrix factorization. Zbl 05560147Berry, Michael W.; Browne, Murray; Langville, Amy N.; Pauca, V. Paul; Plemmons, Robert J. 80 2007 Cones and iterative methods for best least squares solutions of linear systems. Zbl 0244.65024Berman, Abraham; Plemmons, Robert J. 71 1974 Positive diagonal solutions to the Lyapunov equations. Zbl 0385.15006Barker, G. P.; Berman, A.; Plemmons, R. J. 63 1978 Nonnegative matrix factorization for spectral data analysis. Zbl 1096.65033Pauca, V. Paul; Piper, J.; Plemmons, Robert J. 43 2006 Document clustering using nonnegative matrix factorization. Zbl 1087.68104Shahnaz, Farial; Berry, Michael W.; Pauca, V. Paul; Plemmons, Robert J. 43 2006 Preconditioned iterative regularization for ill-posed problems. Zbl 0794.65039Hanke, Martin; Nagy, James; Plemmons, Robert 42 1993 Convergent powers of a matrix with applications to iterative methods for singular linear systems. Zbl 0366.65017Meyer, Carl D. jun.; Plemmons, R. J. 42 1977 Convergence of a direct-iterative method for large-scale least-squares problems. Zbl 0576.65026Markham, T. L.; Neumann, M.; Plemmons, R. J. 40 1985 Monotonicity and the generalized inverse. Zbl 0255.15005Berman, Abraham; Plemmons, Robert J. 36 1972 Structured low rank approximation. Zbl 1018.65057Chu, Moody T.; Funderlic, Robert E.; Plemmons, Robert J. 35 2003 Eight types of matrix monotonicity. Zbl 0341.15013Berman, A.; Plemmons, R. J. 28 1976 Generalized inverses of certain Toeplitz matrices. Zbl 0273.15004Cline, R. E.; Plemmons, R. J.; Worm, G. 28 1974 Inverses of nonnegative matrices. Zbl 0328.15003Berman, Abraham; Plemmons, Robert J. 27 1974 LU decomposition of M-matrices by elimination without pivoting. Zbl 0473.65011Funderlic, R. E.; Plemmons, R. J. 26 1981 Matrix group monotonicity. Zbl 0312.15002Berman, Abraham; Plemmons, Robert J. 25 1974 FFT-based preconditioners for Toeplitz-block least squares problems. Zbl 0793.65029Chan, Raymond H.; Nagy, James G.; Plemmons, Robert J. 23 1993 An algorithm to compute a sparse basis of the null space. Zbl 0548.65024Berry, M. W.; Heath, M. T.; Kaneko, I.; Lawo, M.; Plemmons, R. J.; Ward, R. C. 23 1985 Comparison of some direct methods for computing stationary distributions of Markov chains. Zbl 0574.65147Harrod, W. J.; Plemmons, R. J. 23 1984 Parallel algorithms for dense linear algebra computations. Zbl 0697.65010Gallivan, K. A.; Plemmons, R. J.; Sameh, A. H. 22 1990 Analysis of a recursive least squares hyperbolic rotation algorithm for signal processing. Zbl 0639.94004Alexander, S. T.; Pan, C.-T.; Plemmons, R. J. 22 1988 Sparse orthogonal schemes for structural optimization using the force method. Zbl 0575.65031Heath, M. T.; Plemmons, R. J.; Ward, R. C. 22 1984 M-matrices leading to semiconvergent splittings. Zbl 0358.15016Plemmons, R. J. 22 1976 Large-scale geodetic least-squares adjustment by dissection and orthogonal decomposition. Zbl 0468.65012Golub, Gene H.; Plemmons, Robert J. 20 1980 Regular splittings and the discrete Neumann problem. Zbl 0319.65028Plemmons, R. J. 20 1976 Nonnegativity constraints in numerical analysis. Zbl 1192.65041Chen, Donghui; Plemmons, Robert J. 19 2010 Circulant preconditioned Toeplitz least squares iterations. Zbl 0799.65046Chan, Raymond H.; Nagy, James G.; Plemmons, Robert J. 19 1994 Optimality relationships for p-cyclic SOR. Zbl 0687.65034Pierce, Daniel J.; Hadjidimos, Apostolos; Plemmons, Robert J. 19 1990 Maximal subgroups of the semigroup of relations. Zbl 0184.03703Montague, J. S.; Plemmons, R. J. 19 1969 On reduced rank nonnegative matrix factorization for symmetric nonnegative matrices. Zbl 1085.15012Catral, M.; Han, Lixing; Neumann, Michael; Plemmons, R. J. 18 2004 Generalized inverses of Boolean relation matrices. Zbl 0227.05013Plemmons, R. J. 18 1971 On the semigroup of binary relations. Zbl 0199.30602Plemmons, R. J.; West, M. T. 18 1971 Extensions of the Ostrowski-Reich theorem for SOR iterations. Zbl 0416.65024Ortega, James M.; Plemmons, Robert J. 17 1979 The generalized inverse of a nonnegative matrix. Zbl 0241.15001Plemmons, R. J.; Cline, R. E. 17 1972 Least squares modifications with inverse factorizations: Parallel implications. Zbl 0677.65037Pan, C-T.; Plemmons, R. J. 16 1989 Iterative methods for equality-constrained least squares problems. Zbl 0659.65040Barlow, J. L.; Nichols, N. K.; Plemmons, R. J. 16 1988 Generalized inverse-positivity and splittings of M-matrices. Zbl 0407.15005Neumann, M.; Plemmons, R. J. 16 1979 On the semigroup of binary relations. Zbl 0208.01801Plemmons, R. J.; West, M. T. 16 1971 Block cyclic SOR for Markov chains with \(p\)-cyclic infinitesimal generator. Zbl 0736.65094Kontovasilis, Kimon; Plemmons, Robert J.; Stewart, William J. 14 1991 Regular nonnegative matrices. Zbl 0273.20051Plemmons, Robert J. 13 1973 Monotonicity and iterative approximations involving rectangular matrices. Zbl 0263.65046Plemmons, Robert J. 13 1972 Optimal \(p\)-cyclic SOR. Zbl 0803.65032Hadjidimos, Apostolos; Plemmons, Robert J. 12 1994 Convergent iterations for computing stationary distributions of Markov chains. Zbl 0617.65027Barker, G. P.; Plemmons, R. J. 12 1986 LU decompositions of generalized diagonally dominant matrices. Zbl 0481.65017Funderlic, R. E.; Neumann, M.; Plemmons, R. J. 12 1982 Solution of large-scale sparse least squares problems using auxiliary storage. Zbl 0469.65021George, J. A.; Heath, M. T.; Plemmons, R. J. 12 1981 Adjustment by least squares in geodesy using block iterative methods for sparse matrices. Zbl 0449.65014Plemmons, R. J. 12 1979 Energy conserving norms for the solution of hyperbolic systems of partial differential equations. Zbl 0395.35060Gunzburger, Max D.; Plemmons, Robert J. 12 1979 Groups of binary relations. Zbl 0211.03901Plemmons, R. J.; Schein, B. M. 12 1970 Generalization of Strang’s preconditioner with applications to Toeplitz least squares problems. Zbl 0842.65029Chan, Raymond H.; Ng, Michael K.; Plemmons, Robert J. 11 1996 A parallel block iterative scheme applied to computations in structural analysis. Zbl 0621.65059Plemmons, Robert J. 11 1986 A new approach to constrained total least squares image restoration. Zbl 0960.65044Ng, Michael K.; Plemmons, Robert J.; Pimentel, Felipe 10 2000 Analysis of \(p\)-cyclic iterations for Markov chains. Zbl 0789.65103Hadjidimos, Apostolos; Plemmons, Robert J. 10 1993 Parallel algorithms for matrix computations. Zbl 0711.00021Gallivan, 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. 10 1990 Updating LU factorizations for computing stationary distributions. Zbl 0592.65014Funderlic, R. E.; Plemmons, R. J. 10 1986 Minimum norm solutions to linear elastic analysis problems. Zbl 0535.73066Kaneko, I.; Plemmons, R. J. 10 1984 Convex matrix equations. Zbl 0262.15011Montague, J. S.; Plemmons, R. J. 10 1972 Coupled segmentation and denoising/deblurring models for hyperspectral material identification. Zbl 1274.94005Li, Fang; Ng, Michael K.; Plemmons, Robert J. 9 2012 Fast recursive least squares adaptive filtering by fast Fourier transform-based conjugate gradient iterations. Zbl 0860.65030Ng, Michael K.; Plemmons, Robert J. 9 1996 A combined direct-iterative method for certain M-matrix linear systems. Zbl 0532.65019Funderlic, R. E.; Plemmons, R. J. 9 1984 \(l_2\)-solutions to underdetermined linear systems. Zbl 0343.65015Cline, R. E.; Plemmons, R. J. 9 1976 Direct iterative methods for least-squares solutions to singular operator equations. Zbl 0323.47014Kammerer, W. J.; Plemmons, R. J. 9 1975 Doubly stochastic matrix equations. Zbl 0273.15014Montague, J. S.; Plemmons, R. J. 9 1973 Semi-conjugate direction methods for real positive definite systems. Zbl 1052.65026Yuan, J. Y.; Golub, G. H.; Plemmons, R. J.; Cecilio, W. A. G. 8 2004 Block RLS using row Householder reflections. Zbl 0781.65032Bojanczyk, Adam W.; Nagy, James G.; Plemmons, Robert J. 8 1993 Substructuring methods for computing the nullspace of equilibrium matrices. Zbl 0704.65030Plemmons, R. J.; White, R. E. 8 1990 Computing a banded basis of the null space on the Denelcor HEP multiprocessor. Zbl 0591.65034Berry, M. W.; Plemmons, Robert J. 8 1985 Adaptive Lanczos methods for recursive condition estimation. Zbl 0794.65043Ferng, William R.; Golub, Gene H.; Plemmons, Robert J. 7 1991 Backward error analysis for linear systems associated with inverses of H- matrices. Zbl 0557.65019Neumann, M.; Plemmons, R. J. 7 1984 M-matrix characterizations II: General M-matrices. Zbl 0455.15006Neumann, M.; Plemmons, R. J. 7 1980 Fast adaptive condition estimation. Zbl 0747.65029Pierce, Daniel J.; Plemmons, Robert J. 6 1992 Recursive least squares on a hypercube multiprocessor using the covariance factorization. Zbl 0718.65027Henkel, Charles S.; Plemmons, Robert J. 6 1991 Direct iterative methods for linear systems using weak splittings. Zbl 0318.65017Plemmons, R. J. 6 1975 Linear least squares by elimination and MGS. Zbl 0289.65019Plemmons, Robert J. 6 1974 LMS-Newton adaptive filtering using FFT-based conjugate gradient iterations. Zbl 0864.65041Ng, Michael K.; Plemmons, Robert J. 5 1996 Displacement preconditioner for Toeplitz least squares iterations. Zbl 0809.65038Chan, Raymond H.; Nagy, James G.; Plemmons, Robert J. 5 1994 Algorithms and experiments for structural mechanics on high-performance architectures. Zbl 0611.73088Berry, M. W.; Plemmons, R. J. 5 1987 A note on Green’s relations on the semigroup \(N_n\). Zbl 0351.20037Hartfiel, D. J.; Maxson, C. J.; Plemmons, R. J. 5 1977 Graphs and nonnegative matrices. Zbl 0242.15002Plemmons, R. J. 5 1972 Generating polynomials for finite semigroups. Zbl 0221.20074Plemmons, R. J.; Yoshida, R. 5 1970 Sparse nonnegative matrix underapproximation and its application to hyperspectral image analysis. Zbl 1281.65032Gillis, Nicolas; Plemmons, Robert J. 4 2013 Real-valued, low rank, circulant approximation. Zbl 1035.65043Chu, Moody T.; Plemmons, Robert J. 4 2003 A mathematical framework for the linear reconstructor problem in adapative optics. Zbl 0961.65117Chu, Moody T.; Pauca, Victor P.; Plemmons, Robert J.; Sun, Xiaobai 4 2000 Structured matrix representations of two-parameter Hankel transforms in adaptive optics. Zbl 0963.65141Pauca, V. P.; Ellerbroek, B. L.; Plemmons, R. J.; Sun, X. 4 2000 Tracking the condition number for RLS in signal processing. Zbl 0747.93083Pierce, Daniel J.; Plemmons, Robert J. 4 1992 A hybrid multilevel-active set method for large box-constrained linear discrete ill-posed problems. Zbl 1216.65047Morigi, S.; Plemmons, R.; Reichel, L.; Sgallari, F. 3 2011 Regularized blind deconvolution using recursive inverse filtering. Zbl 1114.68584Ng, Michael K.; Plemmons, Robert J.; Qiao, Sanzheng 3 1998 Proceedings of the Cornelius Lanczos international centenary conference held at North Carolina State University, Raleigh, NC, USA, December 12–17, 1993. Zbl 0812.00032Brown, J. David (ed.); Chu, Moody T. (ed.); Ellison, Donald C. (ed.); Plemmons, Robert J. (ed.) 3 1994 A parallel implementation of the inverse QR adaptive filter. Zbl 0850.93814Ghirnikar, Avinash L.; Alexander, S. T.; Plemmons, R. J. 3 1992 Recursive least squares computations. Zbl 0719.65029Plemmons, Robert J. 3 1990 An iterative substructuring algorithm for equilibrium equations. Zbl 0708.65037James, Douglas; Plemmons, Robert J. 3 1990 A two-level preconditioned conjugate gradient scheme. Zbl 0692.65012Pierce, D. J.; Plemmons, R. J. 3 1988 Diagonal scaling to an orthogonal matrix. Zbl 0498.65024Berman, A.; Parlett, B. N.; Plemmons, R. J. 3 1981 Spectral inverses of stochastic matrices. Zbl 0261.15013Wall, J. R.; Plemmons, R. J. 3 1972 Graphs associated with a group. Zbl 0195.26001Plemmons, R. J. 3 1970 On computing non-equivalent finite algebraic systems. Zbl 0247.20088Plemmons, Robert J. 3 1967 Maximal ideals in the direct product of two semigroups. Zbl 0189.02001Plemmons, R. 3 1967 Some computational problems arising in adaptive optics imaging systems. Zbl 0964.65150Plemmons, Robert J.; Pauca, Victor P. 2 2000 Estimation of atmospheric PSF parameters for hyperspectral imaging. Zbl 1374.94044Berisha, Sebastian; Nagy, James G.; Plemmons, Robert J. 1 2015 Deblurring and sparse unmixing of hyperspectral images using multiple point spread functions. Zbl 1325.94029Berisha, Sebastian; Nagy, James G.; Plemmons, Robert J. 1 2015 Sparse nonnegative matrix underapproximation and its application to hyperspectral image analysis. Zbl 1281.65032Gillis, Nicolas; Plemmons, Robert J. 4 2013 Coupled segmentation and denoising/deblurring models for hyperspectral material identification. Zbl 1274.94005Li, Fang; Ng, Michael K.; Plemmons, Robert J. 9 2012 Randomized SVD methods in hyperspectral imaging. Zbl 1253.68120Zhang, Jiani; Erway, Jennifer; Hu, Xiaofei; Zhang, Qiang; Plemmons, Robert 1 2012 A hybrid multilevel-active set method for large box-constrained linear discrete ill-posed problems. Zbl 1216.65047Morigi, S.; Plemmons, R.; Reichel, L.; Sgallari, F. 3 2011 Nonnegativity constraints in numerical analysis. Zbl 1192.65041Chen, Donghui; Plemmons, Robert J. 19 2010 Algorithms and applications for approximate nonnegative matrix factorization. Zbl 05560147Berry, Michael W.; Browne, Murray; Langville, Amy N.; Pauca, V. Paul; Plemmons, Robert J. 80 2007 Nonnegative matrix factorization for spectral data analysis. Zbl 1096.65033Pauca, V. Paul; Piper, J.; Plemmons, Robert J. 43 2006 Document clustering using nonnegative matrix factorization. Zbl 1087.68104Shahnaz, Farial; Berry, Michael W.; Pauca, V. Paul; Plemmons, Robert J. 43 2006 On reduced rank nonnegative matrix factorization for symmetric nonnegative matrices. Zbl 1085.15012Catral, M.; Han, Lixing; Neumann, Michael; Plemmons, R. J. 18 2004 Semi-conjugate direction methods for real positive definite systems. Zbl 1052.65026Yuan, J. Y.; Golub, G. H.; Plemmons, R. J.; Cecilio, W. A. G. 8 2004 Structured low rank approximation. Zbl 1018.65057Chu, Moody T.; Funderlic, Robert E.; Plemmons, Robert J. 35 2003 Real-valued, low rank, circulant approximation. Zbl 1035.65043Chu, Moody T.; Plemmons, Robert J. 4 2003 Exploiting Toeplitz structure in atmospheric image restoration. Zbl 0998.68669Cochran, W. K.; Plemmons, R. J.; Torgersen, T. C. 1 2001 A new approach to constrained total least squares image restoration. Zbl 0960.65044Ng, Michael K.; Plemmons, Robert J.; Pimentel, Felipe 10 2000 A mathematical framework for the linear reconstructor problem in adapative optics. Zbl 0961.65117Chu, Moody T.; Pauca, Victor P.; Plemmons, Robert J.; Sun, Xiaobai 4 2000 Structured matrix representations of two-parameter Hankel transforms in adaptive optics. Zbl 0963.65141Pauca, V. P.; Ellerbroek, B. L.; Plemmons, R. J.; Sun, X. 4 2000 Some computational problems arising in adaptive optics imaging systems. Zbl 0964.65150Plemmons, Robert J.; Pauca, Victor P. 2 2000 Regularized blind deconvolution using recursive inverse filtering. Zbl 1114.68584Ng, Michael K.; Plemmons, Robert J.; Qiao, Sanzheng 3 1998 Scientific computing, WSC ’97. Proceedings of the workshop held in Hong Kong, March 10–12, 1997. Zbl 0910.00057Golub, Gene H. (ed.); Shui-Hong, Lui (ed.); Luk, Franklin T. (ed.); Plemmons, Robert James (ed.) 2 1998 A note on simultaneously diagonalizable matrices. Zbl 0889.15009Berman, Abraham; Plemmons, Robert J. 2 1998 Inverse problems in atmospheric imaging. Zbl 0899.76012Plemmons, Robert J. 2 1997 Generalization of Strang’s preconditioner with applications to Toeplitz least squares problems. Zbl 0842.65029Chan, Raymond H.; Ng, Michael K.; Plemmons, Robert J. 11 1996 Fast recursive least squares adaptive filtering by fast Fourier transform-based conjugate gradient iterations. Zbl 0860.65030Ng, Michael K.; Plemmons, Robert J. 9 1996 LMS-Newton adaptive filtering using FFT-based conjugate gradient iterations. Zbl 0864.65041Ng, Michael K.; Plemmons, Robert J. 5 1996 Degradation reduction in optics imagery using Toeplitz structure. Zbl 0904.65132Nagy, James G.; Pauca, V. Paul; Plemmons, Robert J.; Torgersen, Todd C. 2 1996 LMS-Newton adaptive filtering using FFT. Zbl 0856.93037Ng, Michael K.; Plemmons, Robert J. 2 1996 Some applications of iterative deconvolution. Zbl 0860.65134Plemmons, Robert J. 2 1996 Nonnegative matrices in the mathematical sciences. Zbl 0815.15016Berman, Abraham; Plemmons, Robert J. 1,001 1994 Circulant preconditioned Toeplitz least squares iterations. Zbl 0799.65046Chan, Raymond H.; Nagy, James G.; Plemmons, Robert J. 19 1994 Optimal \(p\)-cyclic SOR. Zbl 0803.65032Hadjidimos, Apostolos; Plemmons, Robert J. 12 1994 Displacement preconditioner for Toeplitz least squares iterations. Zbl 0809.65038Chan, Raymond H.; Nagy, James G.; Plemmons, Robert J. 5 1994 Proceedings of the Cornelius Lanczos international centenary conference held at North Carolina State University, Raleigh, NC, USA, December 12–17, 1993. Zbl 0812.00032Brown, J. David (ed.); Chu, Moody T. (ed.); Ellison, Donald C. (ed.); Plemmons, Robert J. (ed.) 3 1994 Fast recursive least squares using the FFT. Zbl 0856.93036Ng, Michael K.; Plemmons, Robert J. 2 1994 Preconditioned iterative regularization for ill-posed problems. Zbl 0794.65039Hanke, Martin; Nagy, James; Plemmons, Robert 42 1993 FFT-based preconditioners for Toeplitz-block least squares problems. Zbl 0793.65029Chan, Raymond H.; Nagy, James G.; Plemmons, Robert J. 23 1993 Analysis of \(p\)-cyclic iterations for Markov chains. Zbl 0789.65103Hadjidimos, Apostolos; Plemmons, Robert J. 10 1993 Block RLS using row Householder reflections. Zbl 0781.65032Bojanczyk, Adam W.; Nagy, James G.; Plemmons, Robert J. 8 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 0779.00020Meyer, Carl D. (ed.); Plemmons, Robert J. (ed.) 2 1993 Fast adaptive condition estimation. Zbl 0747.65029Pierce, Daniel J.; Plemmons, Robert J. 6 1992 Tracking the condition number for RLS in signal processing. Zbl 0747.93083Pierce, Daniel J.; Plemmons, Robert J. 4 1992 A parallel implementation of the inverse QR adaptive filter. Zbl 0850.93814Ghirnikar, Avinash L.; Alexander, S. T.; Plemmons, R. J. 3 1992 An inverse factorization algorithm for linear prediction. Zbl 0763.65108Nagy, James; Plemmons, Robert J. 2 1992 Block cyclic SOR for Markov chains with \(p\)-cyclic infinitesimal generator. Zbl 0736.65094Kontovasilis, Kimon; Plemmons, Robert J.; Stewart, William J. 14 1991 Adaptive Lanczos methods for recursive condition estimation. Zbl 0794.65043Ferng, William R.; Golub, Gene H.; Plemmons, Robert J. 7 1991 Recursive least squares on a hypercube multiprocessor using the covariance factorization. Zbl 0718.65027Henkel, Charles S.; Plemmons, Robert J. 6 1991 Parallel recursive least squares on a hypercube multiprocessor. Zbl 0738.65037Henkel, Charles S.; Plemmons, Robert J. 2 1991 Parallel algorithms for dense linear algebra computations. Zbl 0697.65010Gallivan, K. A.; Plemmons, R. J.; Sameh, A. H. 22 1990 Optimality relationships for p-cyclic SOR. Zbl 0687.65034Pierce, Daniel J.; Hadjidimos, Apostolos; Plemmons, Robert J. 19 1990 Parallel algorithms for matrix computations. Zbl 0711.00021Gallivan, 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. 10 1990 Substructuring methods for computing the nullspace of equilibrium matrices. Zbl 0704.65030Plemmons, R. J.; White, R. E. 8 1990 Recursive least squares computations. Zbl 0719.65029Plemmons, Robert J. 3 1990 An iterative substructuring algorithm for equilibrium equations. Zbl 0708.65037James, Douglas; Plemmons, Robert J. 3 1990 Parallel algorithms for dense linear algebra computations. Zbl 0714.65025Gallivan, K. A.; Plemmons, R. J.; Sameh, A. H. 1 1990 Least squares modifications with inverse factorizations: Parallel implications. Zbl 0677.65037Pan, C-T.; Plemmons, R. J. 16 1989 An efficient parallel scheme for minimizing a sum of Euclidean norms. Zbl 0677.65061Plemmons, Robert J.; Wright, Stephen J. 2 1989 Analysis of a recursive least squares hyperbolic rotation algorithm for signal processing. Zbl 0639.94004Alexander, S. T.; Pan, C.-T.; Plemmons, R. J. 22 1988 Iterative methods for equality-constrained least squares problems. Zbl 0659.65040Barlow, J. L.; Nichols, N. K.; Plemmons, R. J. 16 1988 A two-level preconditioned conjugate gradient scheme. Zbl 0692.65012Pierce, D. J.; Plemmons, R. J. 3 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 0661.00019Datta, Biswa Nath (ed.); Johnson, Charles R. (ed.); Kaashoek, Marinus A. (ed.); Plemmons, Robert J. (ed.); Sontag, Eduardo D. (ed.) 1 1988 Convergence of parallel multisplitting iterative methods for M-matrices. Zbl 0626.65025Neumann, M.; Plemmons, R. J. 113 1987 Algorithms and experiments for structural mechanics on high-performance architectures. Zbl 0611.73088Berry, M. W.; Plemmons, R. J. 5 1987 Parallel multisplitting iterative methods. Zbl 0655.65062Plemmons, Robert J. 2 1987 Convergent iterations for computing stationary distributions of Markov chains. Zbl 0617.65027Barker, G. P.; Plemmons, R. J. 12 1986 A parallel block iterative scheme applied to computations in structural analysis. Zbl 0621.65059Plemmons, Robert J. 11 1986 Updating LU factorizations for computing stationary distributions. Zbl 0592.65014Funderlic, R. E.; Plemmons, R. J. 10 1986 Convergence of a direct-iterative method for large-scale least-squares problems. Zbl 0576.65026Markham, T. L.; Neumann, M.; Plemmons, R. J. 40 1985 An algorithm to compute a sparse basis of the null space. Zbl 0548.65024Berry, M. W.; Heath, M. T.; Kaneko, I.; Lawo, M.; Plemmons, R. J.; Ward, R. C. 23 1985 Computing a banded basis of the null space on the Denelcor HEP multiprocessor. Zbl 0591.65034Berry, M. W.; Plemmons, Robert J. 8 1985 Comparison of some direct methods for computing stationary distributions of Markov chains. Zbl 0574.65147Harrod, W. J.; Plemmons, R. J. 23 1984 Sparse orthogonal schemes for structural optimization using the force method. Zbl 0575.65031Heath, M. T.; Plemmons, R. J.; Ward, R. C. 22 1984 Minimum norm solutions to linear elastic analysis problems. Zbl 0535.73066Kaneko, I.; Plemmons, R. J. 10 1984 A combined direct-iterative method for certain M-matrix linear systems. Zbl 0532.65019Funderlic, R. E.; Plemmons, R. J. 9 1984 Backward error analysis for linear systems associated with inverses of H- matrices. Zbl 0557.65019Neumann, M.; Plemmons, R. J. 7 1984 LU decompositions of generalized diagonally dominant matrices. Zbl 0481.65017Funderlic, R. E.; Neumann, M.; Plemmons, R. J. 12 1982 LU decomposition of M-matrices by elimination without pivoting. Zbl 0473.65011Funderlic, R. E.; Plemmons, R. J. 26 1981 Solution of large-scale sparse least squares problems using auxiliary storage. Zbl 0469.65021George, J. A.; Heath, M. T.; Plemmons, R. J. 12 1981 Diagonal scaling to an orthogonal matrix. Zbl 0498.65024Berman, A.; Parlett, B. N.; Plemmons, R. J. 3 1981 Large scale matrix problems. Zbl 0443.65010Björck, Åke (ed.); Plemmons, Robert J. (ed.); Schneider, Hans (ed.) 2 1981 Software for ordering large sparse least squares problems prior to Givens reduction. Zbl 0503.65023Hume, David; Litsey, James; Plemmons, Robert 1 1981 Large-scale geodetic least-squares adjustment by dissection and orthogonal decomposition. Zbl 0468.65012Golub, Gene H.; Plemmons, Robert J. 20 1980 M-matrix characterizations II: General M-matrices. Zbl 0455.15006Neumann, M.; Plemmons, R. J. 7 1980 Sparse least squares problems. Zbl 0438.65040Golub, Gene H.; Plemmons, Robert J. 2 1980 Nonnegative matrices in the mathematical sciences. Zbl 0484.15016Berman, Abraham; Plemmons, Robert J. 1,582 1979 Extensions of the Ostrowski-Reich theorem for SOR iterations. Zbl 0416.65024Ortega, James M.; Plemmons, Robert J. 17 1979 Generalized inverse-positivity and splittings of M-matrices. Zbl 0407.15005Neumann, M.; Plemmons, R. J. 16 1979 Adjustment by least squares in geodesy using block iterative methods for sparse matrices. Zbl 0449.65014Plemmons, R. J. 12 1979 Energy conserving norms for the solution of hyperbolic systems of partial differential equations. Zbl 0395.35060Gunzburger, Max D.; Plemmons, Robert J. 12 1979 Positive diagonal solutions to the Lyapunov equations. Zbl 0385.15006Barker, G. P.; Berman, A.; Plemmons, R. J. 63 1978 M-matrix characterizations. I: nonsingular M-matrices. Zbl 0359.15005Plemmons, R. J. 116 1977 Convergent powers of a matrix with applications to iterative methods for singular linear systems. Zbl 0366.65017Meyer, Carl D. jun.; Plemmons, R. J. 42 1977 A note on Green’s relations on the semigroup \(N_n\). Zbl 0351.20037Hartfiel, D. J.; Maxson, C. J.; Plemmons, R. J. 5 1977 Eight types of matrix monotonicity. Zbl 0341.15013Berman, A.; Plemmons, R. J. 28 1976 M-matrices leading to semiconvergent splittings. Zbl 0358.15016Plemmons, R. J. 22 1976 Regular splittings and the discrete Neumann problem. Zbl 0319.65028Plemmons, R. J. 20 1976 \(l_2\)-solutions to underdetermined linear systems. Zbl 0343.65015Cline, R. E.; Plemmons, R. J. 9 1976 Direct iterative methods for least-squares solutions to singular operator equations. Zbl 0323.47014Kammerer, W. J.; Plemmons, R. J. 9 1975 Direct iterative methods for linear systems using weak splittings. Zbl 0318.65017Plemmons, R. J. 6 1975 Note on a splitting approach to ill-conditioned least squares problems. Zbl 0331.15005Plemmons, Robert J. 2 1975 ...and 26 more Documents all cited Publications top 5 cited Publications all top 5 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 all top 5 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. 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Hybrid Systems 6 Special Matrices 5 Computers and Fluids 5 International Journal of Systems Science 5 Information Processing Letters ...and 286 more Serials all top 5 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) Citations by Year