Edit Profile Bunch, James R. Compute Distance To: Compute Author ID: bunch.james-r Published as: Bunch, J. R.; Bunch, James R. Documents Indexed: 39 Publications since 1970, including 4 Books all top 5 Co-Authors 13 single-authored 6 Fierro, Ricardo D. 4 Le Borne, Richard C. 4 Proudler, Ian K. 3 Kaufman, Linda 3 Rose, Donald J. 2 Björck, Åke 2 Marcia, Roummel F. 2 Nielsen, Christopher P. 2 Ortega, J. K. E. 2 Parlett, Beresford Neill 1 Demmel, James Weldon 1 Dongarra, Jack J. 1 Hopcroft, John Edward H. 1 Moler, Cleve B. 1 Sorensen, Danny C. 1 Stewart, Gilbert Wright 1 Van Loan, Charles Francis all top 5 Serials 6 Numerical Linear Algebra with Applications 5 Linear Algebra and its Applications 3 Mathematics of Computation 3 Numerische Mathematik 3 SIAM Journal on Matrix Analysis and Applications 2 SIAM Journal on Numerical Analysis 1 Bulletin of the Australian Mathematical Society 1 Journal of Mathematical Analysis and Applications 1 Journal of the Association for Computing Machinery 1 SIAM Journal on Scientific and Statistical Computing 1 IEEE Transactions on Signal Processing 1 Computational Statistics and Data Analysis 1 International Journal of Applied Mathematics and Computer Science all top 5 Fields 33 Numerical analysis (65-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 4 Computer science (68-XX) 3 General and overarching topics; collections (00-XX) 3 Systems theory; control (93-XX) 2 Statistics (62-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 29 Publications have been cited 731 times in 625 Documents Cited by ▼ Year ▼ LINPACK, users’ guide. 2nd printing. Zbl 0476.68025Dongarra, J. J.; Bunch, J. R.; Moler, C. B.; Stewart, G. W. 208 1980 Rank-one modification of the symmetric eigenproblem. Zbl 0369.65007Bunch, James R.; Nielsen, Christopher P.; Sorensen, Danny C. 74 1978 Stability of methods for solving Toeplitz systems of equations. Zbl 0569.65019Bunch, James R. 73 1985 Some stable methods for calculating inertia and solving symmetric linear systems. Zbl 0355.65023Bunch, James R.; Kaufman, Linda 73 1977 Direct methods for solving symmetric indefinite systems of linear equations. Zbl 0199.49802Bunch, J. R.; Parlett, B. N. 50 1970 The weak and strong stability of algorithms in numerical linear algebra. Zbl 0652.65032Bunch, James R. 39 1987 Updating the singular value decomposition. Zbl 0421.65028Bunch, James R.; Nielsen, Christopher P. 32 1978 Triangular factorization and inversion by fast matrix multiplication. Zbl 0276.15006Bunch, James R.; Hopcroft, John E. 27 1974 Decomposition of a symmetric matrix. Zbl 0342.65026Bunch, James R.; Kaufman, Linda; Parlett, Beresford N. 26 1976 The strong stability of algorithms for solving symmetric linear systems. Zbl 0687.65021Bunch, James R.; Demmel, James W.; Van Loan, Charles F. 16 1989 Sparse matrix computations. Proceedings of the symposium on sparse matrix computations at Argonne National Laboratory on September 9-11, 1975. Zbl 0333.00007Bunch, James R. (ed.); Rose, Donald J. (ed.) 15 1976 Partial pivoting strategies for symmetric matrices. Zbl 0253.65024Bunch, James R. 15 1974 A computational method for the indefinite quadratic programming problem. Zbl 0473.65036Bunch, James R.; Kaufman, Linda 12 1980 A note on the stable decomposition of skew-symmetric matrices. Zbl 0485.65020Bunch, James R. 11 1982 Partitioning, tearing and modification of sparse linear systems. Zbl 0294.15003Bunch, James R.; Rose, Donald J. 11 1974 Bounding the subspaces from rank revealing two-sided orthogonal decompositions. Zbl 0831.65044Fierro, Ricardo D.; Bunch, James R. 9 1995 Perturbation theory for orthogonal projection methods with applications to least squares and total least squares. Zbl 0843.65027Fierro, Ricardo D.; Bunch, James R. 8 1996 Collinearity and total least squares. Zbl 0805.65042Fierro, Ricardo D.; Bunch, James R. 6 1994 A simplified pivoting strategy for symmetric tridiagonal matrices. Zbl 1174.65348Bunch, James R.; Marcia, Roummel F. 5 2006 A pivoting strategy for symmetric tridiagonal matrices. Zbl 1164.65331Bunch, James R.; Marcia, Roummel F. 4 2005 Orthogonal projection and total least squares. Zbl 0848.65024Fierro, Ricardo D.; Bunch, James R. 4 1995 Equilibration of symmetric matrices in the max-norm. Zbl 0242.65045Bunch, James R. 4 1971 A conceptual framework for consistency, conditioning, and stability issues in signal processing. Zbl 1369.94100Bunch, James R.; Le Borne, Richard C.; Proudler, Ian K. 2 2001 Complexity of sparse elimination. Zbl 0274.65011Bunch, James R. 2 1973 Analysis of the direct and indirect a posteriori RLSL algorithm. Zbl 1090.93565Bunch, J. R.; Le Borne, R. C.; Proudler, I. K. 1 2001 The weak stability of algorithms for matrix computations. Zbl 0738.65011Bunch, James R. 1 1991 Calculating selected elements of the inverse of symmetric positive definite matrices. Zbl 0715.65121Bunch, James R. 1 1988 Block methods for solving sparse linear systems. Zbl 0345.65013Bunch, James R. 1 1976 Analysis of the diagonal pivoting method. Zbl 0199.49801Bunch, J. R. 1 1970 A simplified pivoting strategy for symmetric tridiagonal matrices. Zbl 1174.65348Bunch, James R.; Marcia, Roummel F. 5 2006 A pivoting strategy for symmetric tridiagonal matrices. Zbl 1164.65331Bunch, James R.; Marcia, Roummel F. 4 2005 A conceptual framework for consistency, conditioning, and stability issues in signal processing. Zbl 1369.94100Bunch, James R.; Le Borne, Richard C.; Proudler, Ian K. 2 2001 Analysis of the direct and indirect a posteriori RLSL algorithm. Zbl 1090.93565Bunch, J. R.; Le Borne, R. C.; Proudler, I. K. 1 2001 Perturbation theory for orthogonal projection methods with applications to least squares and total least squares. Zbl 0843.65027Fierro, Ricardo D.; Bunch, James R. 8 1996 Bounding the subspaces from rank revealing two-sided orthogonal decompositions. Zbl 0831.65044Fierro, Ricardo D.; Bunch, James R. 9 1995 Orthogonal projection and total least squares. Zbl 0848.65024Fierro, Ricardo D.; Bunch, James R. 4 1995 Collinearity and total least squares. Zbl 0805.65042Fierro, Ricardo D.; Bunch, James R. 6 1994 The weak stability of algorithms for matrix computations. Zbl 0738.65011Bunch, James R. 1 1991 The strong stability of algorithms for solving symmetric linear systems. Zbl 0687.65021Bunch, James R.; Demmel, James W.; Van Loan, Charles F. 16 1989 Calculating selected elements of the inverse of symmetric positive definite matrices. Zbl 0715.65121Bunch, James R. 1 1988 The weak and strong stability of algorithms in numerical linear algebra. Zbl 0652.65032Bunch, James R. 39 1987 Stability of methods for solving Toeplitz systems of equations. Zbl 0569.65019Bunch, James R. 73 1985 A note on the stable decomposition of skew-symmetric matrices. Zbl 0485.65020Bunch, James R. 11 1982 LINPACK, users’ guide. 2nd printing. Zbl 0476.68025Dongarra, J. J.; Bunch, J. R.; Moler, C. B.; Stewart, G. W. 208 1980 A computational method for the indefinite quadratic programming problem. Zbl 0473.65036Bunch, James R.; Kaufman, Linda 12 1980 Rank-one modification of the symmetric eigenproblem. Zbl 0369.65007Bunch, James R.; Nielsen, Christopher P.; Sorensen, Danny C. 74 1978 Updating the singular value decomposition. Zbl 0421.65028Bunch, James R.; Nielsen, Christopher P. 32 1978 Some stable methods for calculating inertia and solving symmetric linear systems. Zbl 0355.65023Bunch, James R.; Kaufman, Linda 73 1977 Decomposition of a symmetric matrix. Zbl 0342.65026Bunch, James R.; Kaufman, Linda; Parlett, Beresford N. 26 1976 Sparse matrix computations. Proceedings of the symposium on sparse matrix computations at Argonne National Laboratory on September 9-11, 1975. Zbl 0333.00007Bunch, James R. (ed.); Rose, Donald J. (ed.) 15 1976 Block methods for solving sparse linear systems. Zbl 0345.65013Bunch, James R. 1 1976 Triangular factorization and inversion by fast matrix multiplication. Zbl 0276.15006Bunch, James R.; Hopcroft, John E. 27 1974 Partial pivoting strategies for symmetric matrices. Zbl 0253.65024Bunch, James R. 15 1974 Partitioning, tearing and modification of sparse linear systems. Zbl 0294.15003Bunch, James R.; Rose, Donald J. 11 1974 Complexity of sparse elimination. Zbl 0274.65011Bunch, James R. 2 1973 Equilibration of symmetric matrices in the max-norm. Zbl 0242.65045Bunch, James R. 4 1971 Direct methods for solving symmetric indefinite systems of linear equations. Zbl 0199.49802Bunch, J. R.; Parlett, B. N. 50 1970 Analysis of the diagonal pivoting method. Zbl 0199.49801Bunch, J. R. 1 1970 all cited Publications top 5 cited Publications all top 5 Cited by 979 Authors 12 Pan, Victor Yakovlevich 10 Bunch, James R. 8 Singer, Sanja 8 Wei, Yimin 7 Van Huffel, Sabine 7 Zlatev, Zahari 6 Benner, Peter 6 Faßbender, Heike 6 Golub, Gene Howard 6 Gould, Nicholas Ian Mark 6 Melman, Aaron 6 Serra-Capizzano, Stefano 6 Singer, Saša 5 Barlow, Jesse L. 5 Konstantinov, Mikhail Mikhajlov 5 Mehrmann, Volker 5 Petkov, Petko Hr. 5 Plemmons, Robert James 5 Siewert, C. E. 5 Slapničar, Ivan 4 Björck, Åke 4 Bojanczyk, Adam W. 4 Christov, Nicolai D. 4 Di Benedetto, Fabio 4 Gragg, William B. 4 Li, Shengguo 4 O’Leary, Dianne P. 4 Qiao, Sanzheng 4 Reichel, Lothar 4 Sorensen, Danny C. 3 Bénasséni, Jacques 3 Bini, Dario Andrea 3 Chan, Raymond Hon-Fu 3 Chung, Kuo-Liang 3 de Hoog, Frank Robert 3 Dongarra, Jack J. 3 Duff, Iain S. 3 Garcia, Roberto D. M. 3 Gill, Philip E. 3 Greenbaum, Anne 3 Hajarian, Masoud 3 Hansen, Per Christian 3 Hari, Vjeran 3 Higham, Desmond J. 3 Higham, Nicholas J. 3 Hoffmann, Walter 3 Hogg, Jonathan D. 3 Huang, Ting-Zhu 3 Jeannerod, Claude-Pierre 3 Kaufman, Linda 3 Kressner, Daniel 3 Li, Wen 3 Liao, Xiangke 3 Linzer, Elliot N. 3 Liu, Xinguo 3 Marcia, Roummel F. 3 Mastronardi, Nicola 3 Moguerza, Javier M. 3 Nagy, James Gerard 3 Ng, Michael Kwok-Po 3 Novaković, Vedran 3 Pan, Ching-Tsuan 3 Parlett, Beresford Neill 3 Rozlozník, Miroslav 3 Schilders, Wil H. A. 3 Sogabe, Tomohiro 3 Sun, Jiguang 3 Van Loan, Charles Francis 3 Vandewalle, Joos P. 3 Veselić, Krešimir 3 Wang, Weiguo 3 Waśniewski, Jerzy 3 Yan, Wen-Ming 3 Zhang, Shao-Liang 2 Allen, Richard C. jun. 2 Ammar, Gregory S. 2 Bates, Douglas M. 2 Berry, Michael W. 2 Biglari, Fahimeh 2 Bo, Cuimei 2 Boisvert, Ronald F. 2 Boland, W. Robert 2 Brannigan, Michael 2 Brent, Richard Peirce 2 Byers, Ralph 2 Calvetti, Daniela 2 Caron, Richard J. 2 Chakraborty, Suvra Kanti 2 Chan, Tony Fan-Cheong 2 Chen, Xiaoshan 2 Cheng, Guanghui 2 Cheng, Lizhi 2 Chung, Julianne M. 2 Company, Rafael 2 Darve, Eric 2 De Moor, Bart L. R. 2 Derevyagin, Maxim S. 2 Diao, Huaian 2 Dietrich, C. R. 2 Egorova, Vera N. ...and 879 more Authors all top 5 Cited in 135 Serials 110 Linear Algebra and its Applications 54 Journal of Computational and Applied Mathematics 23 Numerische Mathematik 21 Computers & Mathematics with Applications 19 Numerical Algorithms 18 Journal of Computational Physics 18 BIT 17 Mathematics of Computation 15 Applied Numerical Mathematics 14 Applied Mathematics and Computation 13 Computer Methods in Applied Mechanics and Engineering 13 Computational Statistics and Data Analysis 12 Automatica 11 SIAM Journal on Matrix Analysis and Applications 10 Numerical Linear Algebra with Applications 9 Calcolo 9 Journal of Optimization Theory and Applications 9 European Journal of Operational Research 9 SIAM Journal on Scientific Computing 8 Computing 6 Computer Physics Communications 6 Mathematical Programming 5 Journal of Complexity 5 Mathematical and Computer Modelling 5 Mathematical Programming. Series A. Series B 4 Computers and Fluids 4 Journal of the Franklin Institute 4 Journal of Approximation Theory 4 Theoretical Computer Science 4 Systems & Control Letters 4 SIAM Journal on Algebraic and Discrete Methods 4 Journal of Symbolic Computation 4 Applied Mathematics Letters 4 Computational Optimization and Applications 3 Journal of Mathematical Analysis and Applications 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Journal of Soviet Mathematics 3 Kybernetika 3 Physica D 3 Journal of Scientific Computing 3 Neural Networks 3 Journal of Mathematical Sciences (New York) 3 Mathematical Problems in Engineering 3 Optimization Methods & Software 3 European Journal of Mechanics. B. Fluids 2 Acta Mechanica 2 Linear and Multilinear Algebra 2 International Journal for Numerical Methods in Engineering 2 Journal of Econometrics 2 Advances in Applied Mathematics 2 Computer Aided Geometric Design 2 RAIRO. Modélisation Mathématique et Analyse Numérique 2 Algorithmica 2 Computational Mechanics 2 Journal of Economic Dynamics & Control 2 MCSS. Mathematics of Control, Signals, and Systems 2 Journal of Parallel and Distributed Computing 2 Annals of Operations Research 2 Japan Journal of Industrial and Applied Mathematics 2 Communications in Statistics. Theory and Methods 2 Journal of Statistical Computation and Simulation 2 Pattern Recognition 2 Computational and Applied Mathematics 2 Engineering Analysis with Boundary Elements 2 ELA. The Electronic Journal of Linear Algebra 2 Mathematical Geology 2 Acta Numerica 2 EURASIP Journal on Advances in Signal Processing 1 Acta Informatica 1 Biological Cybernetics 1 Bulletin of the Australian Mathematical Society 1 Discrete Applied Mathematics 1 Ingenieur-Archiv 1 International Journal of Engineering Science 1 International Journal of General Systems 1 International Journal of Solids and Structures 1 Journal of Engineering Mathematics 1 Journal of Mathematical Physics 1 Psychometrika 1 Transport Theory and Statistical Physics 1 Wave Motion 1 ACM Transactions on Mathematical Software 1 Advances in Mathematics 1 Fuzzy Sets and Systems 1 Journal of the Korean Mathematical Society 1 Journal of Mathematical Psychology 1 Mathematics and Computers in Simulation 1 Mathematische Zeitschrift 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Transactions of the American Mathematical Society 1 Cybernetics 1 Operations Research Letters 1 Circuits, Systems, and Signal Processing 1 Graphs and Combinatorics 1 Statistical Science 1 Discrete & Computational Geometry 1 Computers & Operations Research 1 COMPEL 1 Stochastic Hydrology and Hydraulics 1 International Journal of Adaptive Control and Signal Processing ...and 35 more Serials all top 5 Cited in 48 Fields 464 Numerical analysis (65-XX) 150 Linear and multilinear algebra; matrix theory (15-XX) 72 Operations research, mathematical programming (90-XX) 52 Computer science (68-XX) 48 Statistics (62-XX) 39 Systems theory; control (93-XX) 28 Partial differential equations (35-XX) 28 Fluid mechanics (76-XX) 17 Approximations and expansions (41-XX) 17 Mechanics of deformable solids (74-XX) 14 Probability theory and stochastic processes (60-XX) 13 Information and communication theory, circuits (94-XX) 11 Integral equations (45-XX) 10 Combinatorics (05-XX) 10 Ordinary differential equations (34-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Functions of a complex variable (30-XX) 7 Quantum theory (81-XX) 7 Statistical mechanics, structure of matter (82-XX) 7 Geophysics (86-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Biology and other natural sciences (92-XX) 6 Field theory and polynomials (12-XX) 6 Operator theory (47-XX) 5 Real functions (26-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Special functions (33-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Number theory (11-XX) 3 Commutative algebra (13-XX) 3 Algebraic geometry (14-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Functional analysis (46-XX) 2 Associative rings and algebras (16-XX) 2 Mechanics of particles and systems (70-XX) 2 Astronomy and astrophysics (85-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year