Edit Profile (opens in new tab) Bischof, Christian H. Co-Author Distance Author ID: bischof.christian-h Published as: Bischof, Christian H.; Bischof, Christian; Bischof, C. H.; Bischof, C. more...less Documents Indexed: 74 Publications since 1986, including 3 Books 4 Contributions as Editor Co-Authors: 107 Co-Authors with 71 Joint Publications 2,304 Co-Co-Authors all top 5 Co-Authors 7 single-authored 17 Bücker, H. Martin 13 Lang, Bruno 9 Sun, Xiaobai 6 Carle, Alan 6 Rasch, Arno 5 Griewank, Andreas 4 Beelitz, Thomas 4 Hovland, Paul D. 3 Bai, Zhaojun 3 Behr, Marek A. 3 Khademi, Peyvand M. 3 Lülfesmann, Michael 3 Mariano, Artur 3 Marquardt, Wolfgang 3 Probst, Markus 3 Quintana-Ortí, Gregorio 3 Turnbull, Thomas 2 Bouaricha, Ali 2 Buchmann, Johannes A. 2 Corliss, George F. 2 Dagdelen, Özgür 2 Demmel, James Weldon 2 Dongarra, Jack J. 2 Du Croz, Jeremy J. 2 Eberhard, Peter 2 Fitzpatrick, Robert 2 Gerndt, Andreas 2 Göpfert, Florian 2 Greenbaum, Anne 2 Hammarling, Sven J. 2 Hansen, Per Christian 2 Huss-Lederman, Steven 2 Kuhlen, Torsten 2 McKenney, Alan 2 Mönnigmann, Martin 2 Moré, Jorge J. 2 Nicolai, Mike 2 Risch, Jakob W. 2 Sorensen, Danny C. 2 Tsao, Anna 2 Van Loan, Charles Francis 2 Vehreschild, Andre 2 Wu, Po-Ting 1 Abate, Jason 1 Althoff, Klaus Schulte 1 Averick, Brett M. 1 Berz, Martin 1 Blackford, S. 1 Casella, Mario 1 Correia, Fábio 1 Droegemeier, Kelvin K. 1 Duff, Iain S. 1 Edelman, Alan Stuart 1 Gauger, Nicolas R. 1 Geist, George A. 1 Gibbon, Paul 1 Groß-Hardt, Edwin 1 Guertler, Niels 1 Haghighat, Mohammad Reza 1 Heath, Michael T. 1 Hendrickson, Bruce A. 1 Heroux, Michael A. 1 Hörschler, Ingolf 1 Huck, Alexander 1 Joubert, Gerhard R. 1 Jurgelucks, Benjamin 1 Koelbel, Chuck 1 Kowarz, Andreas 1 Larour, Eric 1 Lewis, John Gregg 1 Lippert, Thomas 1 Meinke, Matthias 1 Mohammadi, Bijan 1 Mohr, Bernd 1 Nath Datta, Biswa 1 Naumann, Uwe 1 Norris, Boyana 1 Ostrouchov, Susan 1 Pan, Ching-Tsuan 1 Park, Seon Ki 1 Pérez, Gilberto 1 Petera, Monika 1 Peters, Frans J. 1 Pfennig, Andreas 1 Pierce, Daniel J. 1 Purkayastha, Avijit 1 Pusch, Gordon D. 1 Roh, Lucas 1 Sagebaum, Max 1 Schirski, Marc 1 Schreiber, Robert S. 1 Schröder, Wolfgang Armin 1 Shroff, Gautam M. 1 Sincovec, Richard F. 1 Sluşanschi, Emil I. 1 Spiegelman, Donna 1 Strauss, Henry 1 Tang, Ping Tak Peter 1 Tsao, Ana 1 Utke, Jean ...and 7 more Co-Authors all top 5 Serials 6 SIAM Journal on Scientific Computing 5 SIAM Journal on Matrix Analysis and Applications 4 ACM Transactions on Mathematical Software 3 SIAM Journal on Scientific and Statistical Computing 2 Parallel Computing 2 The Journal of Supercomputing 2 Optimization Methods & Software 2 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Computer Methods in Applied Mechanics and Engineering 1 Computer Physics Communications 1 International Journal for Numerical Methods in Fluids 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Mathematics of Computation 1 International Journal for Numerical Methods in Engineering 1 International Journal of High Speed Computing 1 Numerical Algorithms 1 SIAM Review 1 Computational Optimization and Applications 1 Reliable Computing 1 INFORMS Journal on Computing 1 Higher-Order and Symbolic Computation 1 Optimization and Engineering 1 JMMA. Journal of Mathematical Modelling and Algorithms 1 Advances in Parallel Computing 1 Lecture Notes in Computational Science and Engineering 1 Software - Environments - Tools all top 5 Fields 57 Numerical analysis (65-XX) 25 Computer science (68-XX) 12 Fluid mechanics (76-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 8 Operations research, mathematical programming (90-XX) 4 General and overarching topics; collections (00-XX) 4 Biology and other natural sciences (92-XX) 3 Ordinary differential equations (34-XX) 2 Mechanics of particles and systems (70-XX) 2 Geophysics (86-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 54 Publications have been cited 1,103 times in 983 Documents Cited by ▼ Year ▼ LAPACK user’s guide. This work is dedicated to Jim Wilkinson. 3rd ed. Zbl 0934.65030Anderson, E.; Bai, Z.; Bischof, C.; Blackford, S.; Demmel, J.; Dongarra, J.; Du Croz, J.; Greenbaum, A.; Hammarling, S.; McKenney, A.; Sorensen, D. 541 1999 LAPACK user’s guide. 2nd ed. Zbl 0843.65018Anderson, E.; Bai, Z.; Bischof, C.; Demmel, J.; Dongarra, J.; Du Croz, J.; Greenbaum, A.; Hammarling, S.; McKenney, A.; Ostrouchov, S.; Sorensen, D. 137 1995 LAPACK users’ guide. Zbl 0755.65028Anderson, E.; Bai, Z.; Bischof, C. 81 1992 The WY representation for products of Householder matrices. Zbl 0628.65033Bischof, Christian; Van Loan, Charles F. 38 1987 Computing rank-revealing QR factorizations of dense matrices. Zbl 0932.65033Bischof, Christian H.; Quintana-Ortí, Gregorio 29 1998 Computational differentiation: techniques, applications, and tools. Proceedings of the second international workshop on computational differentiation, February 12–14, 1996. Zbl 0857.00033 28 1996 Automatic differentiation of numerical integration algorithms. Zbl 1017.65062Eberhard, Peter; Bischof, Christian 17 1999 A BLAS-3 version of the QR factorization with column pivoting. Zbl 0912.65034Quintana-Ortí, Gregorio; Sun, Xiaobai; Bischof, Christian H. 16 1998 Algorithm 782: Codes for rank-revealing QR factorizations of dense matrices. Zbl 0932.65034Bischof, Christian H.; Quintana-Ortí, Gregorio 15 1998 A framework for symmetric band reduction. Zbl 1365.65103Bischof, Christian H.; Lang, Bruno; Sun, Xiaobai 14 2000 Algorithm 807: The SBR toolbox – software for successive band reduction. Zbl 1365.65104Bischof, Christian H.; Lang, Bruno; Sun, Xiaobai 14 2000 Incremental condition estimation. Zbl 0697.65042Bischof, Christian H. 12 1990 Structure-preserving and rank-revealing \(QR\)-factorizations. Zbl 0739.65031Bischof, Christian H.; Hansen, Per Christian 10 1991 A parallel algorithm for the Sylvester observer equation. Zbl 0855.65043Bischof, Christian H.; Datta, Biswa Nath; Purkayastha, Avijit 9 1996 On the implementation of automatic differentiation tools. Zbl 1168.65324Bischof, Christian H.; Hovland, Paul D.; Norris, Boyana 9 2008 A parallel QR factorization algorithm with controlled local pivoting. Zbl 0718.65017Bischof, Christian H. 8 1991 Automatic differentiation and Navier-Stokes computations. Zbl 1041.76550Hovland, Paul; Mohammadi, Bijan; Bischof, Christian 7 1998 Hierarchical approaches to automatic differentiation. Zbl 0874.65012Bischof, Christian H.; Haghighat, Mohammad R. 7 1996 Efficient derivative codes through automatic differentiation and interface contraction: An application in biostatistics. Zbl 0891.65016Hovland, P.; Bischof, C.; Spiegelman, D.; Casella, M. 7 1997 Computing large sparse Jacobian matrices using automatic differentiation. Zbl 0799.65018Averick, Brett M.; Moré, Jorge J.; Bischof, Christian H.; Carle, Alan; Griewank, Andreas 6 1994 Algorithms and design for a second-order automatic differentiation module. Zbl 0923.68068Abate, Jason; Bischof, Christian; Roh, Lucas; Carle, Alan 6 1997 Advances in automatic differentiation. Selected papers based on the presentations at the 5th international conference on automatic differentiation, Bonn, Germany, August 11–15, 2008. Zbl 1143.65003 6 2008 Sensitivity of optimal shapes of artificial grafts with respect to flow parameters. Zbl 1227.76018Probst, M.; Lülfesmann, M.; Nicolai, M.; Bücker, H. M.; Behr, M.; Bischof, C. H. 6 2010 Tuning GaussSieve for speed. Zbl 1370.94512Fitzpatrick, Robert; Bischof, Christian; Buchmann, Johannes; Dagdelen, Özgür; Göpfert, Florian; Mariano, Artur; Yang, Bo-Yin 6 2015 Sensitivity analysis of turbulence models using automatic differentiation. Zbl 1077.68932Bischof, Christian H.; Bücker, H. Martin; Rasch, Arno 5 2004 Incremental condition estimation for sparse matrices. Zbl 0726.65038Bischof, Christian H.; Lewis, John G.; Pierce, Daniel J. 5 1990 On the automatic differentiation of computer programs and an application to multibody systems. Zbl 0871.70001Bischof, Christian H. 5 1996 Extending the functionality of the general-purpose finite element package SEPRAN by automatic differentiation. Zbl 1032.76589Bischof, C. H.; Bücker, H. M.; Lang, B.; Rasch, A.; Risch, J. W. 4 2003 A basis-kernel representation of orthogonal matrices. Zbl 0837.15010Sun, Xiaobai; Bischof, Christian 4 1995 A hybrid approach for efficient robust design of dynamic systems. Zbl 1114.93034Mönnigmann, Martin; Marquardt, Wolfgang; Bischof, Christian H.; Beelitz, Thomas; Lang, Bruno; Willems, Paul 4 2007 Efficient computation of gradients and Jacobians by dynamic exploitation of sparsity in automatic differentiation. Zbl 0879.68025Bischof, Christian H.; Khademi, Peyvand M.; Bouaricha, Ali; Carle, Alan 4 1997 A block algorithm for computing rank-revealing QR factorizations. Zbl 0761.65029Bischof, Christian H.; Hansen, Per Christian 3 1992 Adaptive condition estimation for rank-one updates of QR factorizations. Zbl 0756.65041Shroff, Gautam M.; Bischof, Christian H. 3 1992 Computing gradients in large-scale optimization using automatic differentiation. Zbl 0885.90100Bischof, Christian H.; Bouaricha, Ali; Khademi, Peyvand M.; Moré, Jorge J. 3 1997 Transforming equation-based models in process engineering. Zbl 1270.68385Bischof, Christian H.; Bücker, H. Martin; Marquardt, Wolfgang; Petera, Monika; Wyes, Jutta 3 2006 Practical shape optimization of a levitation device for single droplets. Zbl 1175.76050Groß-Hardt, Edwin; Slusanschi, Emil; Bücker, H. Martin; Pfennig, Andreas; Bischof, Christian H. 3 2008 Automatic differentiation for MATLAB programs. Zbl 1201.68159Bischof, Christian; Lang, Bruno; Vehreschild, Andre 3 2003 A study of the invariant subspace decomposition algorithm for banded symmetric matrices. Zbl 0821.65017Bischof, Christian; Sun, Xiaobai; Tsao, Anna; Turnbull, Thomas 2 1994 Automatic differentiation for computational finance. Zbl 1045.65020Bischof, Christian H.; Bücker, H. Martin; Lang, Bruno 2 2002 ADIFOR: Automatic differentiation in a source translator environment. Zbl 0925.68231Bischof, Christian; Carle, Alan; Corliss, George; Griewank, Andreas 2 1992 Computing the singular value decomposition on a distributed system of vector processors. Zbl 0676.65029Bischof, Christian H. 2 1989 Efficient task scheduling in the parallel result-verifying solution of nonlinear systems. Zbl 1083.65051Beelitz, Thomas; Lang, Bruno; Bischof, Christian H. 2 2006 A hybrid subdivision strategy for result-verifying nonlinear solvers. Zbl 1354.65114Beelitz, Thomas; Bischof, Christian H.; Lang, Bruno 2 2004 Verified determination of singularities in chemical processes. Zbl 1395.92192Bischof, Christian H.; Lang, Bruno; Marquardt, Wolfgang; Mönnigmann, Martin 2 2001 A usability case study of algorithmic differentiation tools on the ISSM ice sheet model. Zbl 1453.86049Hück, Alexander; Bischof, Christian; Sagebaum, Max; Gauger, Nicolas R.; Jurgelucks, Benjamin; Larour, Eric; Perez, Gilberto 2 2018 Sensitivity of shear rate in artificial grafts using automatic differentiation. Zbl 1423.76526Probst, M.; Lülfesmann, M.; Bücker, H. M.; Behr, M.; Bischof, C. H. 1 2010 Parallel reverse mode automatic differentiation for OpenMP programs with ADOL-C. Zbl 1156.68620Bischof, Christian; Guertler, Niels; Kowarz, Andreas; Walther, Andrea 1 2008 Computing the singular value decomposition on a ring of array processors. Zbl 0605.65025Bischof, Christian; Van Loan, Charles F. 1 1986 A Cholesky up- and downdating algorithm for systolic and SIMD architectures. Zbl 0779.65016Bischof, Christian H.; Pan, C.-T.; Tang, Ping Tak Peter 1 1993 Exploiting intermediate sparsity in computing derivatives for a Leapfrog scheme. Zbl 1031.90075Bischof, Christian H.; Bücker, H. Martin; Wu, Po-Ting 1 2003 Parallel studies of the invariant subspace decomposition approach for banded symmetric matrices. Zbl 0836.65054Bischof, Christian; Huss-Lederman, Steven; Sun, Xiaobai; Tsao, Anna; Turnbull, Thomas 1 1995 Users’ experience with ADIFOR 2.0. Zbl 0866.65020Bischof, Christian; Carle, Alan 1 1996 Tools for the automatic differentiation of computer programs. Zbl 0900.65042Bischof, Christian; Griewank, Andreas 1 1996 A macro language for derivative definition in ADiMat. Zbl 1270.65088Bischof, Christian H.; Bücker, H. Martin; Vehreschild, Andre 1 2006 A usability case study of algorithmic differentiation tools on the ISSM ice sheet model. Zbl 1453.86049Hück, Alexander; Bischof, Christian; Sagebaum, Max; Gauger, Nicolas R.; Jurgelucks, Benjamin; Larour, Eric; Perez, Gilberto 2 2018 Tuning GaussSieve for speed. Zbl 1370.94512Fitzpatrick, Robert; Bischof, Christian; Buchmann, Johannes; Dagdelen, Özgür; Göpfert, Florian; Mariano, Artur; Yang, Bo-Yin 6 2015 Sensitivity of optimal shapes of artificial grafts with respect to flow parameters. Zbl 1227.76018Probst, M.; Lülfesmann, M.; Nicolai, M.; Bücker, H. M.; Behr, M.; Bischof, C. H. 6 2010 Sensitivity of shear rate in artificial grafts using automatic differentiation. Zbl 1423.76526Probst, M.; Lülfesmann, M.; Bücker, H. M.; Behr, M.; Bischof, C. H. 1 2010 On the implementation of automatic differentiation tools. Zbl 1168.65324Bischof, Christian H.; Hovland, Paul D.; Norris, Boyana 9 2008 Advances in automatic differentiation. Selected papers based on the presentations at the 5th international conference on automatic differentiation, Bonn, Germany, August 11–15, 2008. Zbl 1143.65003 6 2008 Practical shape optimization of a levitation device for single droplets. Zbl 1175.76050Groß-Hardt, Edwin; Slusanschi, Emil; Bücker, H. Martin; Pfennig, Andreas; Bischof, Christian H. 3 2008 Parallel reverse mode automatic differentiation for OpenMP programs with ADOL-C. Zbl 1156.68620Bischof, Christian; Guertler, Niels; Kowarz, Andreas; Walther, Andrea 1 2008 A hybrid approach for efficient robust design of dynamic systems. Zbl 1114.93034Mönnigmann, Martin; Marquardt, Wolfgang; Bischof, Christian H.; Beelitz, Thomas; Lang, Bruno; Willems, Paul 4 2007 Transforming equation-based models in process engineering. Zbl 1270.68385Bischof, Christian H.; Bücker, H. Martin; Marquardt, Wolfgang; Petera, Monika; Wyes, Jutta 3 2006 Efficient task scheduling in the parallel result-verifying solution of nonlinear systems. Zbl 1083.65051Beelitz, Thomas; Lang, Bruno; Bischof, Christian H. 2 2006 A macro language for derivative definition in ADiMat. Zbl 1270.65088Bischof, Christian H.; Bücker, H. Martin; Vehreschild, Andre 1 2006 Sensitivity analysis of turbulence models using automatic differentiation. Zbl 1077.68932Bischof, Christian H.; Bücker, H. Martin; Rasch, Arno 5 2004 A hybrid subdivision strategy for result-verifying nonlinear solvers. Zbl 1354.65114Beelitz, Thomas; Bischof, Christian H.; Lang, Bruno 2 2004 Extending the functionality of the general-purpose finite element package SEPRAN by automatic differentiation. Zbl 1032.76589Bischof, C. H.; Bücker, H. M.; Lang, B.; Rasch, A.; Risch, J. W. 4 2003 Automatic differentiation for MATLAB programs. Zbl 1201.68159Bischof, Christian; Lang, Bruno; Vehreschild, Andre 3 2003 Exploiting intermediate sparsity in computing derivatives for a Leapfrog scheme. Zbl 1031.90075Bischof, Christian H.; Bücker, H. Martin; Wu, Po-Ting 1 2003 Automatic differentiation for computational finance. Zbl 1045.65020Bischof, Christian H.; Bücker, H. Martin; Lang, Bruno 2 2002 Verified determination of singularities in chemical processes. Zbl 1395.92192Bischof, Christian H.; Lang, Bruno; Marquardt, Wolfgang; Mönnigmann, Martin 2 2001 A framework for symmetric band reduction. Zbl 1365.65103Bischof, Christian H.; Lang, Bruno; Sun, Xiaobai 14 2000 Algorithm 807: The SBR toolbox – software for successive band reduction. Zbl 1365.65104Bischof, Christian H.; Lang, Bruno; Sun, Xiaobai 14 2000 LAPACK user’s guide. This work is dedicated to Jim Wilkinson. 3rd ed. Zbl 0934.65030Anderson, E.; Bai, Z.; Bischof, C.; Blackford, S.; Demmel, J.; Dongarra, J.; Du Croz, J.; Greenbaum, A.; Hammarling, S.; McKenney, A.; Sorensen, D. 541 1999 Automatic differentiation of numerical integration algorithms. Zbl 1017.65062Eberhard, Peter; Bischof, Christian 17 1999 Computing rank-revealing QR factorizations of dense matrices. Zbl 0932.65033Bischof, Christian H.; Quintana-Ortí, Gregorio 29 1998 A BLAS-3 version of the QR factorization with column pivoting. Zbl 0912.65034Quintana-Ortí, Gregorio; Sun, Xiaobai; Bischof, Christian H. 16 1998 Algorithm 782: Codes for rank-revealing QR factorizations of dense matrices. Zbl 0932.65034Bischof, Christian H.; Quintana-Ortí, Gregorio 15 1998 Automatic differentiation and Navier-Stokes computations. Zbl 1041.76550Hovland, Paul; Mohammadi, Bijan; Bischof, Christian 7 1998 Efficient derivative codes through automatic differentiation and interface contraction: An application in biostatistics. Zbl 0891.65016Hovland, P.; Bischof, C.; Spiegelman, D.; Casella, M. 7 1997 Algorithms and design for a second-order automatic differentiation module. Zbl 0923.68068Abate, Jason; Bischof, Christian; Roh, Lucas; Carle, Alan 6 1997 Efficient computation of gradients and Jacobians by dynamic exploitation of sparsity in automatic differentiation. Zbl 0879.68025Bischof, Christian H.; Khademi, Peyvand M.; Bouaricha, Ali; Carle, Alan 4 1997 Computing gradients in large-scale optimization using automatic differentiation. Zbl 0885.90100Bischof, Christian H.; Bouaricha, Ali; Khademi, Peyvand M.; Moré, Jorge J. 3 1997 Computational differentiation: techniques, applications, and tools. Proceedings of the second international workshop on computational differentiation, February 12–14, 1996. Zbl 0857.00033 28 1996 A parallel algorithm for the Sylvester observer equation. Zbl 0855.65043Bischof, Christian H.; Datta, Biswa Nath; Purkayastha, Avijit 9 1996 Hierarchical approaches to automatic differentiation. Zbl 0874.65012Bischof, Christian H.; Haghighat, Mohammad R. 7 1996 On the automatic differentiation of computer programs and an application to multibody systems. Zbl 0871.70001Bischof, Christian H. 5 1996 Users’ experience with ADIFOR 2.0. Zbl 0866.65020Bischof, Christian; Carle, Alan 1 1996 Tools for the automatic differentiation of computer programs. Zbl 0900.65042Bischof, Christian; Griewank, Andreas 1 1996 LAPACK user’s guide. 2nd ed. Zbl 0843.65018Anderson, 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 basis-kernel representation of orthogonal matrices. Zbl 0837.15010Sun, Xiaobai; Bischof, Christian 4 1995 Parallel studies of the invariant subspace decomposition approach for banded symmetric matrices. Zbl 0836.65054Bischof, Christian; Huss-Lederman, Steven; Sun, Xiaobai; Tsao, Anna; Turnbull, Thomas 1 1995 Computing large sparse Jacobian matrices using automatic differentiation. Zbl 0799.65018Averick, Brett M.; Moré, Jorge J.; Bischof, Christian H.; Carle, Alan; Griewank, Andreas 6 1994 A study of the invariant subspace decomposition algorithm for banded symmetric matrices. Zbl 0821.65017Bischof, Christian; Sun, Xiaobai; Tsao, Anna; Turnbull, Thomas 2 1994 A Cholesky up- and downdating algorithm for systolic and SIMD architectures. Zbl 0779.65016Bischof, Christian H.; Pan, C.-T.; Tang, Ping Tak Peter 1 1993 LAPACK users’ guide. Zbl 0755.65028Anderson, E.; Bai, Z.; Bischof, C. 81 1992 A block algorithm for computing rank-revealing QR factorizations. Zbl 0761.65029Bischof, Christian H.; Hansen, Per Christian 3 1992 Adaptive condition estimation for rank-one updates of QR factorizations. Zbl 0756.65041Shroff, Gautam M.; Bischof, Christian H. 3 1992 ADIFOR: Automatic differentiation in a source translator environment. Zbl 0925.68231Bischof, Christian; Carle, Alan; Corliss, George; Griewank, Andreas 2 1992 Structure-preserving and rank-revealing \(QR\)-factorizations. Zbl 0739.65031Bischof, Christian H.; Hansen, Per Christian 10 1991 A parallel QR factorization algorithm with controlled local pivoting. Zbl 0718.65017Bischof, Christian H. 8 1991 Incremental condition estimation. Zbl 0697.65042Bischof, Christian H. 12 1990 Incremental condition estimation for sparse matrices. Zbl 0726.65038Bischof, Christian H.; Lewis, John G.; Pierce, Daniel J. 5 1990 Computing the singular value decomposition on a distributed system of vector processors. Zbl 0676.65029Bischof, Christian H. 2 1989 The WY representation for products of Householder matrices. Zbl 0628.65033Bischof, Christian; Van Loan, Charles F. 38 1987 Computing the singular value decomposition on a ring of array processors. Zbl 0605.65025Bischof, Christian; Van Loan, Charles F. 1 1986 all cited Publications top 5 cited Publications all top 5 Cited by 1,961 Authors 21 Benner, Peter 17 Dongarra, Jack J. 17 Quintana-Ortí, Enrique S. 14 Bischof, Christian H. 11 Zlatev, Zahari 10 Bücker, H. Martin 9 Higham, Nicholas J. 9 Kressner, Daniel 8 Lang, Bruno 8 Quintana-Ortí, Gregorio 7 Demmel, James Weldon 7 Li, Rencang 7 Lin, Wen-Wei 6 Aishima, Kensuke 6 Bientinesi, Paolo 6 Drmač, Zlatko 6 Faragó, István 6 Naumann, Uwe 6 Saad, Yousef 6 Tomov, Stanimire Z. 5 Arndt, Daniel 5 Baboulin, Marc 5 Bangerth, Wolfgang 5 Charpentier, Isabelle 5 Haidar, Azzam 5 Heister, Timo 5 Heltai, Luca 5 Kågström, Bo 5 Karlsson, Lars 5 Keyes, David Elliot 5 Koev, Plamen 5 Kronbichler, Martin 5 Li, Xiaoye Sherry 5 Lin, Lin 5 Maier, Matthias Sebastian 5 Mehrmann, Volker 5 Pelteret, Jean-Paul 5 Plemmons, Robert James 5 Turcksin, Bruno 5 Van Dooren, Paul M. 5 Walker, David W. 5 Ward, Michael J. 4 Bai, Zhaojun 4 Bosner, Nela 4 Bujanović, Zvonimir 4 Gauger, Nicolas R. 4 Georgiev, Krassimir 4 Gower, Robert Mansel 4 Grigori, Laura 4 Havasi, Ágnes 4 Hernández, Vicente G. 4 Hwang, Tsung-Min 4 Kamiya, Norio 4 Kita, Eisuke 4 Kolokolnikov, Theodore 4 Kurzak, Jakub 4 Ltaief, Hatem 4 Lu, Linzhang 4 Mach, Thomas 4 Martinsson, Per-Gunnar 4 Matsuo, Takayasu 4 Murota, Kazuo 4 Napov, Artem 4 Paprzycki, Marcin 4 Rouet, François-Henry 4 Sameh, Ahmed H. 4 Sherwin, Spencer J. 4 Slapničar, Ivan 4 van de Geijn, Robert Alexander 4 Wei, Juncheng 4 Wu, Aiguo 4 Yang, Chao 3 Arias, Enrique 3 Baglama, James 3 Barlow, Jesse L. 3 Baur, Ulrike 3 Blum, Volker 3 Boiko, Andrey V. 3 Brambley, Edward James 3 Brüls, Olivier 3 Calvetti, Daniela 3 Carson, Erin Claire 3 Damle, Anil 3 Davidović, Davor 3 Demyanko, Kirill V. 3 Di Napoli, Edoardo A. 3 Diehl, Moritz Mathias 3 Dopico, Froilán M. 3 Duan, Guangren 3 Ducas, Léo 3 Duersch, Jed A. 3 Duff, Iain S. 3 Dumitriu, Ioana 3 Eberhard, Peter 3 Fehling, Marc 3 Froese Fischer, Charlotte 3 Gallivan, Kyle A. 3 Gassmöller, Rene 3 Gates, Mark 3 Gaudreau, Philippe J. ...and 1,861 more Authors all top 5 Cited in 198 Serials 70 Journal of Computational Physics 60 Journal of Computational and Applied Mathematics 57 Computer Physics Communications 56 Linear Algebra and its Applications 37 SIAM Journal on Scientific Computing 32 Numerical Algorithms 27 Computers & Mathematics with Applications 27 Computer Methods in Applied Mechanics and Engineering 25 Optimization Methods & Software 23 Numerical Linear Algebra with Applications 22 Applied Mathematics and Computation 22 International Journal for Numerical Methods in Engineering 19 Computers and Fluids 17 ACM Transactions on Mathematical Software 16 SIAM Journal on Matrix Analysis and Applications 12 Journal of Fluid Mechanics 12 Applied Numerical Mathematics 12 Engineering Analysis with Boundary Elements 11 Journal of Scientific Computing 9 Computing 9 Computational Optimization and Applications 8 BIT 8 Numerische Mathematik 7 Mathematics of Computation 7 Automatica 7 Mathematics and Computers in Simulation 7 Japan Journal of Industrial and Applied Mathematics 7 Advances in Computational Mathematics 6 Physica D 6 European Journal of Operational Research 6 Computational Statistics and Data Analysis 6 Mathematical Programming. Series A. Series B 6 Multibody System Dynamics 6 Acta Numerica 5 International Journal for Numerical Methods in Fluids 5 Journal of Optimization Theory and Applications 5 Parallel Computing 5 Computational Mechanics 5 SIAM Journal on Optimization 4 Acta Mechanica 4 Journal of Mathematical Physics 4 Theoretical Computer Science 4 Computer Aided Geometric Design 4 Journal of Global Optimization 4 Journal of Nonlinear Science 4 Physics of Fluids 4 Journal of Machine Learning Research (JMLR) 4 Journal of Numerical Mathematics 4 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Applied Mathematics Letters 3 Mathematical and Computer Modelling 3 Machine Learning 3 International Journal of Computer Mathematics 3 SIAM Review 3 Mathematical and Computer Modelling of Dynamical Systems 3 International Journal of Numerical Modelling 3 Communications in Nonlinear Science and Numerical Simulation 3 Computational Geosciences 3 Optimization and Engineering 3 Archives of Computational Methods in Engineering 3 Concurrency and Computation: Practice & Experience 3 Structural and Multidisciplinary Optimization 3 PAMM. Proceedings in Applied Mathematics and Mechanics 3 Mathematical Programming Computation 3 JSIAM Letters 2 Classical and Quantum Gravity 2 International Journal of Control 2 International Journal of Solids and Structures 2 Journal of Mathematical Biology 2 Mathematical Biosciences 2 Physics Letters. A 2 Information Sciences 2 Studies in Applied Mathematics 2 Systems & Control Letters 2 Numerical Methods for Partial Differential Equations 2 Journal of Parallel and Distributed Computing 2 Annals of Operations Research 2 International Journal of High Speed Computing 2 Computational Statistics 2 Annals of Physics 2 Applied Mathematical Modelling 2 Journal of Mathematical Imaging and Vision 2 Continuum Mechanics and Thermodynamics 2 Communications in Numerical Methods in Engineering 2 Computational and Applied Mathematics 2 Russian Journal of Numerical Analysis and Mathematical Modelling 2 Journal of Geodesy 2 Parallel Algorithms and Applications 2 Computing and Visualization in Science 2 New Journal of Physics 2 European Journal of Mechanics. A. Solids 2 European Journal of Mechanics. B. Fluids 2 Higher-Order and Symbolic Computation 2 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Combustion Theory and Modelling 2 Journal of High Energy Physics 2 International Journal of Modern Physics C 2 Journal of Discrete Algorithms 2 Analysis and Applications (Singapore) 2 Parallel Processing Letters ...and 98 more Serials all top 5 Cited in 48 Fields 640 Numerical analysis (65-XX) 133 Fluid mechanics (76-XX) 129 Linear and multilinear algebra; matrix theory (15-XX) 102 Computer science (68-XX) 76 Operations research, mathematical programming (90-XX) 75 Mechanics of deformable solids (74-XX) 72 Partial differential equations (35-XX) 56 Quantum theory (81-XX) 51 Statistics (62-XX) 43 Statistical mechanics, structure of matter (82-XX) 41 Ordinary differential equations (34-XX) 36 Systems theory; control (93-XX) 28 Biology and other natural sciences (92-XX) 27 Optics, electromagnetic theory (78-XX) 26 Mechanics of particles and systems (70-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 18 Geophysics (86-XX) 17 Information and communication theory, circuits (94-XX) 12 Classical thermodynamics, heat transfer (80-XX) 11 Dynamical systems and ergodic theory (37-XX) 11 Approximations and expansions (41-XX) 9 Combinatorics (05-XX) 8 Probability theory and stochastic processes (60-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Astronomy and astrophysics (85-XX) 6 Integral equations (45-XX) 6 Operator theory (47-XX) 5 Special functions (33-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Relativity and gravitational theory (83-XX) 4 Algebraic geometry (14-XX) 4 Real functions (26-XX) 4 Difference and functional equations (39-XX) 3 Field theory and polynomials (12-XX) 3 Commutative algebra (13-XX) 3 Functions of a complex variable (30-XX) 3 Convex and discrete geometry (52-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Number theory (11-XX) 2 Potential theory (31-XX) 2 Mathematics education (97-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) Citations by Year