Edit Profile (opens in new tab) Demmel, James Weldon Co-Author Distance Author ID: demmel.james-weldon Published as: Demmel, James; Demmel, James W.; Demmel, J.; Demmel, J. W.; Demmel, James Weldon more...less External Links: MGP · Wikidata · dblp · GND · IdRef · theses.fr Documents Indexed: 137 Publications since 1981, including 5 Books and 17 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 144 Co-Authors with 116 Joint Publications 3,270 Co-Co-Authors all top 5 Co-Authors 20 single-authored 11 Ballard, Grey M. 11 Dongarra, Jack J. 11 Grigori, Laura 10 Bai, Zhaojun 9 Holtz, Olga 8 Koev, Plamen 8 Schwartz, Oded 7 Dumitriu, Ioana 7 Nie, Jiawang 5 Hammarling, Sven J. 5 Hida, Yozo 5 Kågström, Bo 5 Kahan, William Morton 4 Carson, Erin Claire 4 Friedman, Mark J. 4 Gu, Ming 4 Hoemmen, Mark 4 Knight, Nicholas 4 Mahoney, Michael W. 4 Murray, Riley 4 Petitet, Antoine 3 Bindel, David S. 3 Buluç, Aydın 3 Devarakonda, Aditya 3 Higham, Nicholas J. 3 Malik, Osman Asif 3 Marques, Osni A. 3 Solomonik, Edgar 3 Van der Vorst, Henk Albertus 3 Vuduc, Richard W. 3 Yelick, Katherine A. 2 Bharadwaj, Vivek 2 Bischof, Christian H. 2 Blackford, L. S. 2 Choi, Jaeyoung 2 Christ, Michael 2 Cleary, Andrew J. 2 Deift, Percy A. 2 Dieci, Luca 2 Du Croz, Jeremy J. 2 Eisenstat, Stanley C. 2 Fountoulakis, Kimon 2 Gilbert, John R. 2 Greenbaum, Anne 2 Henry, Greg M. 2 Hoefler, Torsten 2 Langou, Julien 2 Li, Luen-Chau 2 Lipshitz, Benjamin 2 Luszczek, Piotr 2 McKenney, Alan 2 Melnichenko, Maksim 2 Nguyen, Hong Diep 2 Ostrouchov, Susan 2 Powers, Victoria Ann 2 Ren, Huan 2 Riedy, E. Jason 2 Rusciano, Alexander 2 Scanlon, Thomas J. 2 Sorensen, Danny C. 2 Toledo, Sivan 2 Tomei, Carlos 2 Veselić, Krešimir 2 Walker, David W. 2 Whaley, R. Clint 2 Xiang, Hua 1 Ahrens, Peter 1 Arioli, Mario 1 Azad, Ariful 1 Bailey, David Harold 1 Balabanov, Oleg 1 Barlow, Jesse L. 1 Barrett, Richard K. 1 Becker, Dulcenéia 1 Benanti, Francesca Saviella 1 Berry, Michael W. 1 Bilmes, Jeff A. 1 Blackford, S. 1 Bunch, James R. 1 Cayrols, Sebastien 1 Chan, Tony Fan-Cheong 1 Chen, Tzu-Yi 1 D’Azevedo, Eduardo F. 1 Dehnavi, Maryam Mehri 1 Dereziński, Michał 1 Diament, B. 1 Donato, June M. 1 Drensky, Vesselin 1 Drmač, Zlatko 1 Druinsky, Alex 1 Duff, Iain S. 1 Edelman, Alan Stuart 1 Eijkhout, Victor L. 1 Erichson, N. Benjamin 1 Fulton, Charles T. 1 Govaerts, Willy J. F. 1 Gragg, William B. 1 Gu, Ming 1 Gürbüzbalaban, Mert 1 Heath, Michael T. ...and 44 more Co-Authors all top 5 Serials 20 SIAM Journal on Matrix Analysis and Applications 15 SIAM Journal on Scientific Computing 12 ACM Transactions on Mathematical Software 8 Linear Algebra and its Applications 5 Numerische Mathematik 4 SIAM Journal on Numerical Analysis 3 Software - Environments - Tools 2 Mathematics of Computation 2 Computing 2 IEEE Transactions on Computers 2 SIAM Journal on Scientific and Statistical Computing 2 Journal of Complexity 2 Journal of Global Optimization 2 Acta Numerica 1 Computer Physics Communications 1 Journal of Computational Physics 1 IEEE Transactions on Automatic Control 1 Journal of Pure and Applied Algebra 1 ACM Transactions on Graphics 1 International Journal of High Speed Computing 1 Numerical Algorithms 1 Mathematical Programming. Series A. Series B 1 Applicable Algebra in Engineering, Communication and Computing 1 SIAM Journal on Optimization 1 Numerical Linear Algebra with Applications 1 ETNA. Electronic Transactions on Numerical Analysis 1 Journal of the ACM 1 Foundations of Computational Mathematics 1 Computational Methods in Applied Mathematics all top 5 Fields 109 Numerical analysis (65-XX) 35 Linear and multilinear algebra; matrix theory (15-XX) 27 Computer science (68-XX) 8 Operations research, mathematical programming (90-XX) 3 Algebraic geometry (14-XX) 3 Real functions (26-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Combinatorics (05-XX) 2 Number theory (11-XX) 2 Field theory and polynomials (12-XX) 2 Ordinary differential equations (34-XX) 2 Operator theory (47-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Partial differential equations (35-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 107 Publications have been cited 4,054 times in 3,016 Documents Cited by ▼ Year ▼ LAPACK user’s guide. This work is dedicated to Jim Wilkinson. 3rd ed. Zbl 0934.65030 Anderson, E.; Bai, Z.; Bischof, C.; Blackford, S.; Demmel, J.; Dongarra, J.; Du Croz, J.; Greenbaum, A.; Hammarling, S.; McKenney, A.; Sorensen, D. 578 1999 Applied numerical linear algebra. Zbl 0879.65017 Demmel, James W. 558 1997 Templates for the solution of algebraic eigenvalue problems. A practical guide. Zbl 0965.65058 327 2000 Templates for the solution of linear systems: building blocks for iterative methods. Zbl 0814.65030 Barrett, Richard; Berry, Michael; Chan, Tony F.; Demmel, James; Donato, June; Dongarra, Jack; Eijkhout, Victor; Pozo, Roldan; Romine, Charles; van der Vorst, Henk 148 1993 ScaLAPACK users’ guide. Incl. 1 CD-ROM. Zbl 0886.65022 Blackford, L. S.; Choi, J.; Cleary, A.; D’Azevedo, E.; Demmel, J.; Dhillon, I.; Dongarra, J.; Hammarling, S.; Henry, G.; Petitet, A.; Stanley, K.; Walker, D.; Whaley, R. C. 142 1997 LAPACK user’s guide. 2nd ed. Zbl 0843.65018 Anderson, E.; Bai, Z.; Bischof, C.; Demmel, J.; Dongarra, J.; Du Croz, J.; Greenbaum, A.; Hammarling, S.; McKenney, A.; Ostrouchov, S.; Sorensen, D. 137 1995 A supernodal approach to sparse partial pivoting. Zbl 0931.65022 Demmel, James W.; Eisenstat, Stanley C.; Gilbert, John R.; Li, Xiaoye S.; Liu, Joseph W. H. 124 1999 On condition numbers and the distance to the nearest ill-posed problem. Zbl 0597.65036 Demmel, James W. 97 1987 Jacobi’s method is more accurate than QR. Zbl 0759.65011 Demmel, James; Veselić, Krešimir 85 1992 SuperLU_DIST: a scalable distributed-memory sparse direct solver for unsymmetric linear systems. Zbl 1068.90591 Li, Xiaoye S.; Demmel, James W. 77 2003 Minimizing polynomials via sum of squares over the gradient ideal. Zbl 1134.90032 Nie, Jiawang; Demmel, James; Sturmfels, Bernd 76 2006 The probability that a numerical analysis problem is difficult. Zbl 0657.65066 Demmel, James W. 73 1988 Accurate singular values of bidiagonal matrices. Zbl 0705.65027 Demmel, James; Kahan, W. 72 1990 Computing the singular value decomposition with high relative accuracy. Zbl 0952.65032 Demmel, James; Gu, Ming; Eisenstat, Stanley; Slapničar, Ivan; Veselić, Krešimir; Drmač, Zlatko 71 1999 Communication-optimal parallel and sequential QR and LU factorizations. Zbl 1241.65028 Demmel, James; Grigori, Laura; Hoemmen, Mark; Langou, Julien 65 2012 The accurate and efficient solution of a totally positive generalized Vandermonde linear system. Zbl 1096.65031 Demmel, James; Koev, Plamen 61 2005 Computing accurate eigensystems of scaled diagonally dominant matrices. Zbl 0725.65043 Barlow, Jesse; Demmel, James 55 1990 The generalized Schur decomposition of an arbitrary pencil \(A-\lambda B\): Robust software with error bounds and applications. I: Theory and Algorithms. Zbl 0889.65042 Demmel, J. W.; Kågström, B. 53 1993 Design, implementation and testing of extended and mixed precision BLAS. Zbl 1070.65523 Li, Xiaoye S.; Martin, Michael C.; Thompson, Brandon J.; Tung, Teresa; Yoo, Daniel J.; Demmel, James W.; Bailey, David H.; Henry, Greg; Hida, Yozo; Iskandar, Jimmy; Kahan, William; Kang, Suh Y.; Kapur, Anil 41 2002 An inverse free parallel spectral divide and conquer algorithm for nonsymmetric eigenproblems. Zbl 0876.65021 Bai, Zhaojun; Demmel, James; Gu, Ming 41 1997 Computing stable eigendecompositions of matrix pencils. Zbl 0627.65032 Demmel, James Weldon; Kågström, Bo 38 1987 Solving sparse linear systems with sparse backward error. Zbl 0684.65022 Arioli, M.; Demmel, J. W.; Duff, I. S. 36 1989 The generalized Schur decomposition of an arbitrary pencil \(A-\lambda B\): Robust software with error bounds and applications. II: Software and applications. Zbl 0889.65043 Demmel, J. W.; Kågström, B. 36 1993 Representations of positive polynomials on noncompact semialgebraic sets via KKT ideals. Zbl 1106.13028 Demmel, James; Nie, Jiawang; Powers, Victoria 31 2007 The dimension of matrices (matrix pencils) with given Jordan (Kronecker) canonical forms. Zbl 0842.15011 Demmel, James W.; Edelman, Alan 30 1995 Minimizing communication in numerical linear algebra. Zbl 1246.68128 Ballard, Grey; Demmel, James; Holtz, Olga; Schwartz, Oded 30 2011 An asynchronous parallel supernodal algorithm for sparse Gaussian elimination. Zbl 0939.65036 Demmel, James W.; Gilbert, John R.; Li, Xiaoye S. 29 1999 Computing stable eigendecompositions of matrices. Zbl 0627.65031 Demmel, James Weldon 28 1986 Accurate singular value decompositions of structured matrices. Zbl 0951.65036 Demmel, James 28 2000 Three methods for refining estimates of invariant subspaces. Zbl 0602.65022 Demmel, James W. 28 1987 The componentwise distance to the nearest singular matrix. Zbl 0749.65031 Demmel, James 28 1992 Stability of block. Zbl 0834.65010 Demmel, James W.; Higham, Nicholas J.; Schreiber, Robert S. 27 1995 Accurate and efficient expression evaluation and linear algebra. Zbl 1169.65022 Demmel, James; Dumitriu, Ioana; Holtz, Olga; Koev, Plamen 27 2008 Computing the generalized singular value decomposition. Zbl 0789.65024 Bai, Zhaojun; Demmel, James W. 27 1993 Fast linear algebra is stable. Zbl 1133.65015 Demmel, James; Dumitriu, Ioana; Holtz, Olga 27 2007 The condition number of equivalence transformations that block diagonalize matrix pencils. Zbl 0509.65020 Demmel, James 25 1983 The smallest perturbation of a submatrix which lowers the rank and constrained total least squares problems. Zbl 0651.15024 Demmel, James Weldon 23 1987 On swapping diagonal blocks in real Schur form. Zbl 0783.65030 Bai, Zhaojun; Demmel, James W. 23 1993 Communication avoiding rank revealing QR factorization with column pivoting. Zbl 1327.65078 Demmel, James W.; Grigori, Laura; Gu, Ming; Xiang, Hua 23 2015 Using the matrix sign function to compute invariant subspaces. Zbl 0914.65035 Bai, Zhaojun; Demmel, James 22 1998 Accurate SVDs of weakly diagonally dominant M-matrices. Zbl 1054.65037 Demmel, James; Koev, Plamen 22 2004 Parallel numerical linear algebra. Zbl 0793.65011 Demmel, James W.; Heath, Michael T.; van der Vorst, Henk A. 22 1993 Sparse SOS relaxations for minimizing functions that are summations of small polynomials. Zbl 1178.65048 Nie, Jiawang; Demmel, James 20 2008 Accurate and efficient floating point summation. Zbl 1061.65039 Demmel, James; Hida, Yozo 20 2003 Accurate and efficient evaluation of Schur and Jack functions. Zbl 1076.05083 Demmel, James; Koev, Plamen 18 2006 Accurate SVDs of polynomial Vandermonde matrices involving orthonormal polynomials. Zbl 1112.65035 Demmel, James; Koev, Plamen 18 2006 Error bounds from extra-precise iterative refinement. Zbl 1365.65082 Demmel, James; Hida, Yozo; Kahan, William; Li, Xiaoye S.; Mukherjee, Sonil; Riedy, E. Jason 18 2006 Algorithms for intersecting parametric and algebraic curves. I: Simple intersections. Zbl 0802.65147 Manocha, Dinesh; Demmel, James 18 1994 The strong stability of algorithms for solving symmetric linear systems. Zbl 0687.65021 Bunch, James R.; Demmel, James W.; Van Loan, Charles F. 17 1989 Communication lower bounds and optimal algorithms for numerical linear algebra. Zbl 1396.65082 Ballard, G.; Carson, E.; Demmel, J.; Hoemmen, M.; Knight, N.; Schwartz, O. 17 2014 Performance and accuracy of LAPACK’s symmetric tridiagonal eigensolvers. Zbl 1165.65014 Demmel, James W.; Marques, Osni A.; Parlett, Beresford N.; Vömel, Christof 16 2008 ScaLAPACK: A portable linear algebra library for distributed memory computers – design issues and performance. Zbl 0926.65148 Choi, J.; Demmel, J.; Dhillon, I.; Dongarra, J.; Ostrouchov, S.; Petitet, A.; Stanley, K.; Walker, D.; Whaley, R. C. 16 1996 Continuation of invariant subspaces in large bifurcation problems. Zbl 1160.65065 Bindel, David; Demmel, James; Friedman, Mark 16 2008 Computing connecting orbits via an improved algorithm for continuing invariant subspaces. Zbl 0967.34008 Demmel, J. W.; Dieci, L.; Friedman, M. J. 15 2000 The bidiagonal singular value decomposition and Hamiltonian mechanics. Zbl 0737.65035 Deift, Percy; Demmel, James; Li, Luen-Chau; Tomei, Carlos 15 1991 Improved error bounds for undetermined system solvers. Zbl 0770.65025 Demmel, James W.; Higham, Nicholas J. 15 1993 On computing accurate singular values and eigenvalues of matrices with acyclic graphs. Zbl 0770.65021 Demmel, James W.; Gragg, William 15 1993 Accurate solutions of ill-posed problems in control theory. Zbl 0646.65056 Demmel, James; Kågström, Bo 14 1988 On a block implementation of Hessenberg multishift QR iteration. Zbl 0726.65035 Bai, Zhaojun; Demmel, James 14 1989 On computing Givens rotations reliably and efficiently. Zbl 1072.65048 Bindel, David; Demmel, James; Kahan, William; Marques, Osni 13 2002 Stability of block algorithms with fast level-3 BLAS. Zbl 0892.65016 Demmel, James W.; Higham, Nicholas J. 13 1992 Graph expansion analysis for communication costs of fast rectangular matrix multiplication. Zbl 1385.68057 Ballard, Grey; Demmel, James; Holtz, Olga; Lipshitz, Benjamin; Schwartz, Oded 13 2012 Global minimization of rational functions and the nearest GCDs. Zbl 1138.90030 Nie, Jiawang; Demmel, James; Gu, Ming 12 2008 Exploiting multiple levels of parallelism in sparse matrix-matrix multiplication. Zbl 1350.05160 Azad, Ariful; Ballard, Grey; Buluç, Aydin; Demmel, James; Grigori, Laura; Schwartz, Oded; Toledo, Sivan; Williams, Samuel 12 2016 The geometry of ill-conditioning. Zbl 0641.65042 Demmel, James W. 11 1987 A residual replacement strategy for improving the maximum attainable accuracy of \(s\)-step Krylov subspace methods. Zbl 1302.65075 Carson, Erin; Demmel, James 11 2014 Fast matrix multiplication is stable. Zbl 1134.65030 Demmel, James; Dumitriu, Ioana; Holtz, Olga; Kleinberg, Robert 10 2007 CALU: A communication optimal LU factorization algorithm. Zbl 1242.65089 Grigori, Laura; Demmel, James W.; Xiang, Hua 10 2011 Avoiding communication in nonsymmetric Lanczos-based Krylov subspace methods. Zbl 1281.65057 Carson, Erin; Knight, Nicholas; Demmel, James 10 2013 Graph expansion and communication costs of fast matrix multiplication. Zbl 1281.68241 Ballard, Grey; Demmel, James; Holtz, Olga; Schwartz, Oded 10 2012 Low rank approximation of a sparse matrix based on LU factorization with column and row tournament pivoting. Zbl 1453.65090 Grigori, Laura; Cayrols, Sebastien; Demmel, James W. 8 2018 Unconstrained energy functionals for electronic structure calculations. Zbl 0923.65089 Pfrommer, Bernd G.; Demmel, James; Simon, Horst 8 1999 Balancing sparse matrices for computing eigenvalues. Zbl 0955.65025 Chen, Tzu-Yi; Demmel, James W. 7 2000 Fast and accurate floating point summation with application to computational geometry. Zbl 1074.65054 Demmel, James; Hida, Yozo 7 2004 The spectral decomposition of nonsymmetric matrices on distributed memory parallel computers. Zbl 0890.65034 Bai, Z.; Demmel, J.; Dongarra, J.; Petitet, A.; Robinson, H. 7 1997 Accuracy of the \(s\)-step Lanczos method for the symmetric eigenproblem in finite precision. Zbl 1319.65024 Carson, Erin; Demmel, James W. 7 2015 LU factorization with panel rank revealing pivoting and its communication avoiding version. Zbl 1279.65034 Khabou, Amal; Demmel, James W.; Grigori, Laura; Gu, Ming 7 2013 When cache blocking of sparse matrix vector multiply works and why. Zbl 1122.65043 Nishtala, Rajesh; Vuduc, Richard W.; Demmel, James W.; Yelick, Katherine A. 6 2007 On the correctness of some bisection-like parallel eigenvalue algorithms in floating point arithmetic. Zbl 0860.65026 Demmel, James W.; Dhillon, Inderjit; Ren, Huan 6 1995 Cache efficient bidiagonalization using BLAS 2.5 operators. Zbl 1190.65056 Howell, Gary W.; Demmel, James; Fulton, Charles T.; Hammarling, Sven; Marmol, Karen 6 2008 A counterexample for two conjectures about stability. Zbl 0614.15012 Demmel, James W. 6 1987 Faster numerical algorithms via exception handling. Zbl 1073.68502 Demmel, James W.; Li, Xiaoye 6 1994 Parallel symbolic factorization for sparse LU with static pivoting. Zbl 1141.65354 Grigori, Laura; Demmel, James W.; Li, Xiaoye S. 5 2007 Communication-optimal parallel and sequential Cholesky decomposition. Zbl 1238.65018 Ballard, Grey; Demmel, James; Holtz, Olga; Schwartz, Oded 5 2010 On the complexity of computing error bounds. Zbl 0997.65074 Demmel, J.; Diament, B.; Malajovich, G. 5 2001 Necessary and sufficient conditions for accurate and efficient rational function evaluation and factorizations of rational matrices. Zbl 0993.65052 Demmel, James; Koev, Plamen 5 2001 Nearest defective matrices and the geometry of ill-conditioning. Zbl 0723.65028 Demmel, James 5 1990 On computing condition numbers to the nonsymmetric eigenproblem. Zbl 0889.65044 Bai, Z.; Demmel, J.; McKenny, A. 5 1993 Parallel reproducible summation. Zbl 1360.68042 Demmel, James; Nguyen, Hong Diep 5 2015 Algorithms for efficient reproducible floating point summation. Zbl 1484.65100 Ahrens, Peter; Demmel, James; Nguyen, Hong Diep 5 2020 Underflow and the reliability of numerical software. Zbl 0564.65029 Demmel, James 4 1984 Minimum ellipsoid bounds for solutions of polynomial systems via sum of squares. Zbl 1097.90039 Nie, Jiawang; Demmel, James W. 4 2005 Bifurcation analysis of large equilibrium systems in MATLAB. Zbl 1129.65323 Bindel, David S.; Demmel, James W.; Friedman, Mark J.; Govaerts, Willy J. F.; Kuznetsov, Yuri A. 3 2005 Stably computing the Kronecker structure and reducing subspaces of singular pencils A-\(\lambda\) B for uncertain data. Zbl 0605.65028 Demmel, James; Kågström, Bo 3 1986 Communication lower bounds of bilinear algorithms for symmetric tensor contractions. Zbl 1487.65051 Solomonik, Edgar; Demmel, James; Hoefler, Torsten 3 2021 The performance of finding eigenvalues and eigenvectors of dense symmetric matrices on distributed memory computers. Zbl 0836.65051 Demmel, J.; Stanley, K. 2 1995 Toward accurate polynomial evaluation in rounded arithmetic. Zbl 1106.65308 Demmel, James; Dumitriu, Ioana; Holtz, Olga 2 2006 Statistical models for automatic performance tuning. Zbl 0982.68776 Vuduc, Richard; Demmel, James W.; Bilmes, Jeff 2 2001 Computational approach to polynomial identities of matrices – a survey. Zbl 1067.16041 Benanti, Francesca; Demmel, James; Drensky, Vesselin; Koev, Plamen 2 2003 Shape optimization of transfer functions. Zbl 1100.90030 Nie, Jiawang; Demmel, James W. 2 2006 Communication lower bounds of bilinear algorithms for symmetric tensor contractions. Zbl 1487.65051 Solomonik, Edgar; Demmel, James; Hoefler, Torsten 3 2021 Fast bilinear algorithms for symmetric tensor contractions. Zbl 1473.65360 Solomonik, Edgar; Demmel, James 1 2021 Algorithms for efficient reproducible floating point summation. Zbl 1484.65100 Ahrens, Peter; Demmel, James; Nguyen, Hong Diep 5 2020 Avoiding communication in primal and dual block coordinate descent methods. Zbl 07010367 Devarakonda, Aditya; Fountoulakis, Kimon; Demmel, James; Mahoney, Michael W. 1 2019 Low rank approximation of a sparse matrix based on LU factorization with column and row tournament pivoting. Zbl 1453.65090 Grigori, Laura; Cayrols, Sebastien; Demmel, James W. 8 2018 Exploiting multiple levels of parallelism in sparse matrix-matrix multiplication. Zbl 1350.05160 Azad, Ariful; Ballard, Grey; Buluç, Aydin; Demmel, James; Grigori, Laura; Schwartz, Oded; Toledo, Sivan; Williams, Samuel 12 2016 Communication avoiding rank revealing QR factorization with column pivoting. Zbl 1327.65078 Demmel, James W.; Grigori, Laura; Gu, Ming; Xiang, Hua 23 2015 Accuracy of the \(s\)-step Lanczos method for the symmetric eigenproblem in finite precision. Zbl 1319.65024 Carson, Erin; Demmel, James W. 7 2015 Parallel reproducible summation. Zbl 1360.68042 Demmel, James; Nguyen, Hong Diep 5 2015 Communication lower bounds and optimal algorithms for numerical linear algebra. Zbl 1396.65082 Ballard, G.; Carson, E.; Demmel, J.; Hoemmen, M.; Knight, N.; Schwartz, O. 17 2014 A residual replacement strategy for improving the maximum attainable accuracy of \(s\)-step Krylov subspace methods. Zbl 1302.65075 Carson, Erin; Demmel, James 11 2014 Communication-avoiding symmetric-indefinite factorization. Zbl 1317.65074 Ballard, Grey; Becker, Dulceneia; Demmel, James; Dongarra, Jack; Druinsky, Alex; Peled, Inon; Schwartz, Oded; Toledo, Sivan; Yamazaki, Ichitaro 2 2014 Avoiding communication in nonsymmetric Lanczos-based Krylov subspace methods. Zbl 1281.65057 Carson, Erin; Knight, Nicholas; Demmel, James 10 2013 LU factorization with panel rank revealing pivoting and its communication avoiding version. Zbl 1279.65034 Khabou, Amal; Demmel, James W.; Grigori, Laura; Gu, Ming 7 2013 Communication-optimal parallel and sequential QR and LU factorizations. Zbl 1241.65028 Demmel, James; Grigori, Laura; Hoemmen, Mark; Langou, Julien 65 2012 Graph expansion analysis for communication costs of fast rectangular matrix multiplication. Zbl 1385.68057 Ballard, Grey; Demmel, James; Holtz, Olga; Lipshitz, Benjamin; Schwartz, Oded 13 2012 Graph expansion and communication costs of fast matrix multiplication. Zbl 1281.68241 Ballard, Grey; Demmel, James; Holtz, Olga; Schwartz, Oded 10 2012 Minimizing communication in numerical linear algebra. Zbl 1246.68128 Ballard, Grey; Demmel, James; Holtz, Olga; Schwartz, Oded 30 2011 CALU: A communication optimal LU factorization algorithm. Zbl 1242.65089 Grigori, Laura; Demmel, James W.; Xiang, Hua 10 2011 Communication-optimal parallel and sequential Cholesky decomposition. Zbl 1238.65018 Ballard, Grey; Demmel, James; Holtz, Olga; Schwartz, Oded 5 2010 Accurate and efficient expression evaluation and linear algebra. Zbl 1169.65022 Demmel, James; Dumitriu, Ioana; Holtz, Olga; Koev, Plamen 27 2008 Sparse SOS relaxations for minimizing functions that are summations of small polynomials. Zbl 1178.65048 Nie, Jiawang; Demmel, James 20 2008 Performance and accuracy of LAPACK’s symmetric tridiagonal eigensolvers. Zbl 1165.65014 Demmel, James W.; Marques, Osni A.; Parlett, Beresford N.; Vömel, Christof 16 2008 Continuation of invariant subspaces in large bifurcation problems. Zbl 1160.65065 Bindel, David; Demmel, James; Friedman, Mark 16 2008 Global minimization of rational functions and the nearest GCDs. Zbl 1138.90030 Nie, Jiawang; Demmel, James; Gu, Ming 12 2008 Cache efficient bidiagonalization using BLAS 2.5 operators. Zbl 1190.65056 Howell, Gary W.; Demmel, James; Fulton, Charles T.; Hammarling, Sven; Marmol, Karen 6 2008 Representations of positive polynomials on noncompact semialgebraic sets via KKT ideals. Zbl 1106.13028 Demmel, James; Nie, Jiawang; Powers, Victoria 31 2007 Fast linear algebra is stable. Zbl 1133.65015 Demmel, James; Dumitriu, Ioana; Holtz, Olga 27 2007 Fast matrix multiplication is stable. Zbl 1134.65030 Demmel, James; Dumitriu, Ioana; Holtz, Olga; Kleinberg, Robert 10 2007 When cache blocking of sparse matrix vector multiply works and why. Zbl 1122.65043 Nishtala, Rajesh; Vuduc, Richard W.; Demmel, James W.; Yelick, Katherine A. 6 2007 Parallel symbolic factorization for sparse LU with static pivoting. Zbl 1141.65354 Grigori, Laura; Demmel, James W.; Li, Xiaoye S. 5 2007 Minimizing polynomials via sum of squares over the gradient ideal. Zbl 1134.90032 Nie, Jiawang; Demmel, James; Sturmfels, Bernd 76 2006 Accurate and efficient evaluation of Schur and Jack functions. Zbl 1076.05083 Demmel, James; Koev, Plamen 18 2006 Accurate SVDs of polynomial Vandermonde matrices involving orthonormal polynomials. Zbl 1112.65035 Demmel, James; Koev, Plamen 18 2006 Error bounds from extra-precise iterative refinement. Zbl 1365.65082 Demmel, James; Hida, Yozo; Kahan, William; Li, Xiaoye S.; Mukherjee, Sonil; Riedy, E. Jason 18 2006 Toward accurate polynomial evaluation in rounded arithmetic. Zbl 1106.65308 Demmel, James; Dumitriu, Ioana; Holtz, Olga 2 2006 Shape optimization of transfer functions. Zbl 1100.90030 Nie, Jiawang; Demmel, James W. 2 2006 The accurate and efficient solution of a totally positive generalized Vandermonde linear system. Zbl 1096.65031 Demmel, James; Koev, Plamen 61 2005 Minimum ellipsoid bounds for solutions of polynomial systems via sum of squares. Zbl 1097.90039 Nie, Jiawang; Demmel, James W. 4 2005 Bifurcation analysis of large equilibrium systems in MATLAB. Zbl 1129.65323 Bindel, David S.; Demmel, James W.; Friedman, Mark J.; Govaerts, Willy J. F.; Kuznetsov, Yuri A. 3 2005 Accurate SVDs of weakly diagonally dominant M-matrices. Zbl 1054.65037 Demmel, James; Koev, Plamen 22 2004 Fast and accurate floating point summation with application to computational geometry. Zbl 1074.65054 Demmel, James; Hida, Yozo 7 2004 SuperLU_DIST: a scalable distributed-memory sparse direct solver for unsymmetric linear systems. Zbl 1068.90591 Li, Xiaoye S.; Demmel, James W. 77 2003 Accurate and efficient floating point summation. Zbl 1061.65039 Demmel, James; Hida, Yozo 20 2003 Computational approach to polynomial identities of matrices – a survey. Zbl 1067.16041 Benanti, Francesca; Demmel, James; Drensky, Vesselin; Koev, Plamen 2 2003 Design, implementation and testing of extended and mixed precision BLAS. Zbl 1070.65523 Li, Xiaoye S.; Martin, Michael C.; Thompson, Brandon J.; Tung, Teresa; Yoo, Daniel J.; Demmel, James W.; Bailey, David H.; Henry, Greg; Hida, Yozo; Iskandar, Jimmy; Kahan, William; Kang, Suh Y.; Kapur, Anil 41 2002 On computing Givens rotations reliably and efficiently. Zbl 1072.65048 Bindel, David; Demmel, James; Kahan, William; Marques, Osni 13 2002 The complexity of accurate floating point computation. Zbl 1002.65035 Demmel, J. 1 2002 On the complexity of computing error bounds. Zbl 0997.65074 Demmel, J.; Diament, B.; Malajovich, G. 5 2001 Necessary and sufficient conditions for accurate and efficient rational function evaluation and factorizations of rational matrices. Zbl 0993.65052 Demmel, James; Koev, Plamen 5 2001 Statistical models for automatic performance tuning. Zbl 0982.68776 Vuduc, Richard; Demmel, James W.; Bilmes, Jeff 2 2001 A data broker for distributed computing environments. Zbl 0982.68502 Drummond, L. A.; Demmel, J.; Mechoso, C. R.; Robinson, H.; Sklower, K. 1 2001 Templates for the solution of algebraic eigenvalue problems. A practical guide. Zbl 0965.65058 327 2000 Accurate singular value decompositions of structured matrices. Zbl 0951.65036 Demmel, James 28 2000 Computing connecting orbits via an improved algorithm for continuing invariant subspaces. Zbl 0967.34008 Demmel, J. W.; Dieci, L.; Friedman, M. J. 15 2000 Balancing sparse matrices for computing eigenvalues. Zbl 0955.65025 Chen, Tzu-Yi; Demmel, James W. 7 2000 LAPACK user’s guide. This work is dedicated to Jim Wilkinson. 3rd ed. Zbl 0934.65030 Anderson, E.; Bai, Z.; Bischof, C.; Blackford, S.; Demmel, J.; Dongarra, J.; Du Croz, J.; Greenbaum, A.; Hammarling, S.; McKenney, A.; Sorensen, D. 578 1999 A supernodal approach to sparse partial pivoting. Zbl 0931.65022 Demmel, James W.; Eisenstat, Stanley C.; Gilbert, John R.; Li, Xiaoye S.; Liu, Joseph W. H. 124 1999 Computing the singular value decomposition with high relative accuracy. Zbl 0952.65032 Demmel, James; Gu, Ming; Eisenstat, Stanley; Slapničar, Ivan; Veselić, Krešimir; Drmač, Zlatko 71 1999 An asynchronous parallel supernodal algorithm for sparse Gaussian elimination. Zbl 0939.65036 Demmel, James W.; Gilbert, John R.; Li, Xiaoye S. 29 1999 Unconstrained energy functionals for electronic structure calculations. Zbl 0923.65089 Pfrommer, Bernd G.; Demmel, James; Simon, Horst 8 1999 Using the matrix sign function to compute invariant subspaces. Zbl 0914.65035 Bai, Zhaojun; Demmel, James 22 1998 Applied numerical linear algebra. Zbl 0879.65017 Demmel, James W. 558 1997 ScaLAPACK users’ guide. Incl. 1 CD-ROM. Zbl 0886.65022 Blackford, L. S.; Choi, J.; Cleary, A.; D’Azevedo, E.; Demmel, J.; Dhillon, I.; Dongarra, J.; Hammarling, S.; Henry, G.; Petitet, A.; Stanley, K.; Walker, D.; Whaley, R. C. 142 1997 An inverse free parallel spectral divide and conquer algorithm for nonsymmetric eigenproblems. Zbl 0876.65021 Bai, Zhaojun; Demmel, James; Gu, Ming 41 1997 The spectral decomposition of nonsymmetric matrices on distributed memory parallel computers. Zbl 0890.65034 Bai, Z.; Demmel, J.; Dongarra, J.; Petitet, A.; Robinson, H. 7 1997 Practical experience in the numerical dangers of heterogeneous computing. Zbl 0883.68006 Blackford, L. S.; Cleary, A.; Petitet, A.; Demmel, J.; Dhillon, I.; Ren, H.; Stanley, K.; Dongarra, J.; Hammarling, S. 1 1997 ScaLAPACK: A portable linear algebra library for distributed memory computers – design issues and performance. Zbl 0926.65148 Choi, J.; Demmel, J.; Dhillon, I.; Dongarra, J.; Ostrouchov, S.; Petitet, A.; Stanley, K.; Walker, D.; Whaley, R. C. 16 1996 LAPACK user’s guide. 2nd ed. Zbl 0843.65018 Anderson, E.; Bai, Z.; Bischof, C.; Demmel, J.; Dongarra, J.; Du Croz, J.; Greenbaum, A.; Hammarling, S.; McKenney, A.; Ostrouchov, S.; Sorensen, D. 137 1995 The dimension of matrices (matrix pencils) with given Jordan (Kronecker) canonical forms. Zbl 0842.15011 Demmel, James W.; Edelman, Alan 30 1995 Stability of block. Zbl 0834.65010 Demmel, James W.; Higham, Nicholas J.; Schreiber, Robert S. 27 1995 On the correctness of some bisection-like parallel eigenvalue algorithms in floating point arithmetic. Zbl 0860.65026 Demmel, James W.; Dhillon, Inderjit; Ren, Huan 6 1995 The performance of finding eigenvalues and eigenvectors of dense symmetric matrices on distributed memory computers. Zbl 0836.65051 Demmel, J.; Stanley, K. 2 1995 Algorithms for intersecting parametric and algebraic curves. I: Simple intersections. Zbl 0802.65147 Manocha, Dinesh; Demmel, James 18 1994 Faster numerical algorithms via exception handling. Zbl 1073.68502 Demmel, James W.; Li, Xiaoye 6 1994 Templates for the solution of linear systems: building blocks for iterative methods. Zbl 0814.65030 Barrett, Richard; Berry, Michael; Chan, Tony F.; Demmel, James; Donato, June; Dongarra, Jack; Eijkhout, Victor; Pozo, Roldan; Romine, Charles; van der Vorst, Henk 148 1993 The generalized Schur decomposition of an arbitrary pencil \(A-\lambda B\): Robust software with error bounds and applications. I: Theory and Algorithms. Zbl 0889.65042 Demmel, J. W.; Kågström, B. 53 1993 The generalized Schur decomposition of an arbitrary pencil \(A-\lambda B\): Robust software with error bounds and applications. II: Software and applications. Zbl 0889.65043 Demmel, J. W.; Kågström, B. 36 1993 Computing the generalized singular value decomposition. Zbl 0789.65024 Bai, Zhaojun; Demmel, James W. 27 1993 On swapping diagonal blocks in real Schur form. Zbl 0783.65030 Bai, Zhaojun; Demmel, James W. 23 1993 Parallel numerical linear algebra. Zbl 0793.65011 Demmel, James W.; Heath, Michael T.; van der Vorst, Henk A. 22 1993 Improved error bounds for undetermined system solvers. Zbl 0770.65025 Demmel, James W.; Higham, Nicholas J. 15 1993 On computing accurate singular values and eigenvalues of matrices with acyclic graphs. Zbl 0770.65021 Demmel, James W.; Gragg, William 15 1993 On computing condition numbers to the nonsymmetric eigenproblem. Zbl 0889.65044 Bai, Z.; Demmel, J.; McKenny, A. 5 1993 Steve Smale and the geometry of ill-conditioning. Zbl 0791.65036 Demmel, James 1 1993 Jacobi’s method is more accurate than QR. Zbl 0759.65011 Demmel, James; Veselić, Krešimir 85 1992 The componentwise distance to the nearest singular matrix. Zbl 0749.65031 Demmel, James 28 1992 Stability of block algorithms with fast level-3 BLAS. Zbl 0892.65016 Demmel, James W.; Higham, Nicholas J. 13 1992 The bidiagonal singular value decomposition and Hamiltonian mechanics. Zbl 0737.65035 Deift, Percy; Demmel, James; Li, Luen-Chau; Tomei, Carlos 15 1991 Accurate singular values of bidiagonal matrices. Zbl 0705.65027 Demmel, James; Kahan, W. 72 1990 Computing accurate eigensystems of scaled diagonally dominant matrices. Zbl 0725.65043 Barlow, Jesse; Demmel, James 55 1990 Nearest defective matrices and the geometry of ill-conditioning. Zbl 0723.65028 Demmel, James 5 1990 Solving sparse linear systems with sparse backward error. Zbl 0684.65022 Arioli, M.; Demmel, J. W.; Duff, I. S. 36 1989 The strong stability of algorithms for solving symmetric linear systems. Zbl 0687.65021 Bunch, James R.; Demmel, James W.; Van Loan, Charles F. 17 1989 On a block implementation of Hessenberg multishift QR iteration. Zbl 0726.65035 Bai, Zhaojun; Demmel, James 14 1989 The probability that a numerical analysis problem is difficult. Zbl 0657.65066 Demmel, James W. 73 1988 Accurate solutions of ill-posed problems in control theory. Zbl 0646.65056 Demmel, James; Kågström, Bo 14 1988 On condition numbers and the distance to the nearest ill-posed problem. Zbl 0597.65036 Demmel, James W. 97 1987 Computing stable eigendecompositions of matrix pencils. Zbl 0627.65032 Demmel, James Weldon; Kågström, Bo 38 1987 Three methods for refining estimates of invariant subspaces. Zbl 0602.65022 Demmel, James W. 28 1987 ...and 7 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 4,810 Authors 43 Li, Rencang 42 Peña, Juan Manuel 33 Benner, Peter 27 Wei, Yimin 26 Higham, Nicholas J. 25 Dopico, Froilán M. 24 Demmel, James Weldon 23 Nakatsukasa, Yuji 23 Quintana-Ortí, Enrique S. 22 Dongarra, Jack J. 20 Delgado, Jorge F. 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