Edit Profile (opens in new tab) Nakatsukasa, Yuji Co-Author Distance Author ID: nakatsukasa.yuji Published as: Nakatsukasa, Yuji Documents Indexed: 83 Publications since 2010, including 19 Additional arXiv Preprints 1 Contribution as Editor · 1 Further Contribution Co-Authors: 78 Co-Authors with 72 Joint Publications 2,392 Co-Co-Authors all top 5 Co-Authors 13 single-authored 11 Trefethen, Lloyd Nicholas 6 Noferini, Vanni 5 Townsend, Alex 4 Hashemi, Behnam 3 Fukaya, Takeshi 3 Gawlik, Evan S. 3 Goulart, Paul J. 3 Iwata, Satoru 3 Li, Rencang 3 Meier, Maike 3 Park, Taejun 3 Rontsis, Nikitas 3 Takeda, Akiko 3 Truhar, Ninoslav 3 Yamamoto, Yusaku 3 Yanagisawa, Yuka 2 Adachi, Satoru 2 Benner, Peter 2 Higham, Nicholas J. 2 Neff, Patrizio 2 Penke, Carolin 2 Sète, Olivier 2 Soma, Tasuku 2 Uschmajew, André 2 Xu, Shufang 1 Aishima, Kensuke 1 Bai, Yuanchao 1 Bai, Zhaojun 1 Baston, Robert A. 1 Bau, David III 1 Beckermann, Bernhard 1 Boullé, Nicolas 1 Brubeck, Pablo D. 1 Cheung, Gene 1 Cortinovis, Alice 1 de Terán, Fernando 1 Dong, Yijun 1 Driscoll, Toby 1 Eisenmann, Henrik 1 Epperly, Ethan N. 1 Filip, Silviu-Ioan 1 Fischle, Andreas 1 Freund, Roland W. 1 Gao, Wen 1 Güttel, Stefan 1 Gygi, François 1 Hayami, Ken 1 Horning, Andrew 1 Ito, Shinji 1 Kannan, Ramaseshan 1 Keyes, David Elliot 1 Kressner, Daniel 1 Lankeit, Johannes 1 Li, Zhening 1 Lin, Lin 1 Lippert, Ross A. 1 Ltaief, Hatem 1 Martinsson, Per-Gunnar 1 Mohr, Stephan 1 Montanelli, Hadrien 1 Morikuni, Keiichi 1 Nagy, James Gerard 1 Reichel, Lothar 1 Saito, Naoki 1 Sakaue, Shinsaku 1 Sukkari, Dalal 1 Sutton, Brian D. 1 Taslaman, Leo 1 Tisseur, Françoise 1 Tropp, Joel A. 1 Urzúa-Torres, Carolina 1 Wang, Fen 1 Wang, Weiguo 1 Webb, Marcus 1 Weideman, J. André C. 1 Woei, Ernest 1 Yamazaki, Ichitaro 1 Yin, Junfeng 1 Zaballa, Ion 1 Zhu, Wenqi all top 5 Serials 17 SIAM Journal on Matrix Analysis and Applications 10 Linear Algebra and its Applications 7 SIAM Journal on Scientific Computing 4 BIT 4 Numerische Mathematik 3 Mathematics of Computation 3 Mathematical Programming. Series A. Series B 3 SIAM Journal on Optimization 2 SIAM Journal on Numerical Analysis 2 SIAM Review 1 Journal of Approximation Theory 1 Journal of Optimization Theory and Applications 1 Proceedings of the American Mathematical Society 1 Applied Numerical Mathematics 1 IEEE Transactions on Signal Processing 1 Numerical Algorithms 1 ETNA. Electronic Transactions on Numerical Analysis 1 Advances in Computational Mathematics 1 European Mathematical Society Newsletter 1 JSIAM Letters 1 Other Titles in Applied Mathematics all top 5 Fields 69 Numerical analysis (65-XX) 36 Linear and multilinear algebra; matrix theory (15-XX) 14 Approximations and expansions (41-XX) 8 Computer science (68-XX) 8 Operations research, mathematical programming (90-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Combinatorics (05-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 Operator theory (47-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 53 Publications have been cited 532 times in 386 Documents Cited by ▼ Year ▼ The AAA algorithm for rational approximation. Zbl 1390.41015 Nakatsukasa, Yuji; Sète, Olivier; Trefethen, Lloyd N. 91 2018 Solving the trust-region subproblem by a generalized eigenvalue problem. Zbl 1359.49009 Adachi, Satoru; Iwata, Satoru; Nakatsukasa, Yuji; Takeda, Akiko 38 2017 Vector spaces of linearizations for matrix polynomials: a bivariate polynomial approach. Zbl 1355.65058 Nakatsukasa, Yuji; Noferini, Vanni; Townsend, Alex 29 2017 Rational minimax approximation via adaptive barycentric representations. Zbl 1396.41011 Filip, Silviu-Ioan; Nakatsukasa, Yuji; Trefethen, Lloyd N.; Beckermann, Bernhard 23 2018 Solving generalized CDT problems via two-parameter eigenvalues. Zbl 1346.49050 Sakaue, Shinsaku; Nakatsukasa, Yuji; Takeda, Akiko; Iwata, Satoru 22 2016 A logarithmic minimization property of the unitary polar factor in the spectral and Frobenius norms. Zbl 1309.15016 Neff, Patrizio; Nakatsukasa, Yuji; Fischle, Andreas 21 2014 Computing fundamental matrix decompositions accurately via the matrix sign function in two iterations: the power of Zolotarev’s functions. Zbl 1383.15012 Nakatsukasa, Yuji; Freund, Roland W. 21 2016 The minimization of matrix logarithms: on a fundamental property of the unitary polar factor. Zbl 1302.15009 Lankeit, Johannes; Neff, Patrizio; Nakatsukasa, Yuji 19 2014 Optimizing Halley’s iteration for computing the matrix polar decomposition. Zbl 1215.65081 Nakatsukasa, Yuji; Bai, Zhaojun; Gygi, François 17 2010 On orthogonal tensors and best rank-one approximation ratio. Zbl 1390.15081 Li, Zhening; Nakatsukasa, Yuji; Soma, Tasuku; Uschmajew, André 17 2018 On the stability of computing polynomial roots via confederate linearizations. Zbl 1347.65096 Nakatsukasa, Yuji; Noferini, Vanni 16 2016 Computing the common zeros of two bivariate functions via Bézout resultants. Zbl 1308.65076 Nakatsukasa, Yuji; Noferini, Vanni; Townsend, Alex 15 2015 Stable and efficient spectral divide and conquer algorithms for the symmetric eigenvalue decomposition and the SVD. Zbl 1326.65049 Nakatsukasa, Yuji; Higham, Nicholas J. 15 2013 Vandermonde with Arnoldi. Zbl 1484.65022 Brubeck, Pablo D.; Nakatsukasa, Yuji; Trefethen, Lloyd N. 15 2021 Roundoff error analysis of the CholeskyQR2 algorithm. Zbl 1330.65049 Yamamoto, Yusaku; Nakatsukasa, Yuji; Yanagisawa, Yuka; Fukaya, Takeshi 12 2015 Mysteries around the graph Laplacian eigenvalue 4. Zbl 1262.05102 Nakatsukasa, Yuji; Saito, Naoki; Woei, Ernest 11 2013 Eigenvalue-based algorithm and analysis for nonconvex QCQP with one constraint. Zbl 1411.90246 Adachi, Satoru; Nakatsukasa, Yuji 11 2019 Backward stability of iterations for computing the polar decomposition. Zbl 1252.65083 Nakatsukasa, Yuji; Higham, Nicholas J. 10 2012 Gerschgorin’s theorem for generalized eigenvalue problems in the Euclidean metric. Zbl 1230.15012 Nakatsukasa, Yuji 10 2011 Exponential node clustering at singularities for rational approximation, quadrature, and PDEs. Zbl 1467.65021 Trefethen, Lloyd N.; Nakatsukasa, Yuji; Weideman, J. A. C. 10 2021 Eigenvalue perturbation bounds for Hermitian block tridiagonal matrices. Zbl 1234.15005 Nakatsukasa, Yuji 8 2012 An algorithm for real and complex rational minimax approximation. Zbl 1452.65035 Nakatsukasa, Yuji; Trefethen, Lloyd N. 8 2020 Perturbation of partitioned Hermitian definite generalized eigenvalue problems. Zbl 1230.15011 Li, Ren-Cang; Nakatsukasa, Yuji; Truhar, Ninoslav; Xu, Shufang 7 2011 Absolute and relative Weyl theorems for generalized eigenvalue problems. Zbl 1186.15017 Nakatsukasa, Yuji 7 2010 Finding a low-rank basis in a matrix subspace. Zbl 1358.90107 Nakatsukasa, Yuji; Soma, Tasuku; Uschmajew, André 6 2017 Reciprocal-log approximation and planar PDE solvers. Zbl 1482.65220 Nakatsukasa, Yuji; Trefethen, Lloyd N. 6 2021 Shifted Cholesky QR for computing the QR factorization of ill-conditioned matrices. Zbl 1434.65041 Fukaya, Takeshi; Kannan, Ramaseshan; Nakatsukasa, Yuji; Yamamoto, Yusaku; Yanagisawa, Yuka 6 2020 Fourth-order time-stepping for stiff PDEs on the sphere. Zbl 1383.65112 Montanelli, Hadrien; Nakatsukasa, Yuji 5 2018 Accuracy of singular vectors obtained by projection-based SVD methods. Zbl 1386.65116 Nakatsukasa, Yuji 5 2017 The tan \(\theta \) theorem with relaxed conditions. Zbl 1244.15013 Nakatsukasa, Yuji 4 2012 Perturbation behavior of a multiple eigenvalue in generalized Hermitian eigenvalue problems. Zbl 1189.15025 Nakatsukasa, Yuji 4 2010 On the condition numbers of a multiple eigenvalue of a generalized eigenvalue problem. Zbl 1252.15012 Nakatsukasa, Yuji 4 2012 Computing the signed distance between overlapping ellipsoids. Zbl 1334.49100 Iwata, Satoru; Nakatsukasa, Yuji; Takeda, Akiko 4 2015 Scaled and squared subdiagonal Padé approximation for the matrix exponential. Zbl 1382.65125 Güttel, Stefan; Nakatsukasa, Yuji 4 2016 dqds with aggressive early deflation. Zbl 1248.65042 Nakatsukasa, Yuji; Aishima, Kensuke; Yamazaki, Ichitaro 3 2012 Numerical linear algebra. Twenty-fifth anniversary edition. Zbl 1510.65092 Trefethen, Lloyd N.; Bau, David III 3 2022 Sharp error bounds for Ritz vectors and approximate singular vectors. Zbl 1441.65038 Nakatsukasa, Yuji 3 2020 Accuracy of approximate projection to the semidefinite cone. Zbl 1436.65036 Goulart, Paul J.; Nakatsukasa, Yuji; Rontsis, Nikitas 3 2020 Inertia laws and localization of real eigenvalues for generalized indefinite eigenvalue problems. Zbl 1420.15010 Nakatsukasa, Yuji; Noferini, Vanni 3 2019 Roundoff error analysis of the CholeskyQR2 algorithm in an oblique inner product. Zbl 1415.65068 Yamamoto, Yusaku; Nakatsukasa, Yuji; Yanagisawa, Yuka; Fukaya, Takeshi 2 2016 Stable polefinding and rational least-squares fitting via eigenvalues. Zbl 1391.65033 Ito, Shinji; Nakatsukasa, Yuji 2 2018 Error localization of best \(L_1\) polynomial approximants. Zbl 1461.65018 Nakatsukasa, Yuji; Townsend, Alex 2 2021 A backward stable algorithm for computing the CS decomposition via the polar decomposition. Zbl 1401.65044 Gawlik, Evan S.; Nakatsukasa, Yuji; Sutton, Brian D. 2 2018 On the spectral problem for trivariate functions. Zbl 06989586 Hashemi, Behnam; Nakatsukasa, Yuji 2 2018 Perturbation of multiple eigenvalues of Hermitian matrices. Zbl 1242.15016 Li, Ren-Cang; Nakatsukasa, Yuji; Truhar, Ninoslav; Wang, Wei-Guo 1 2012 Reduction of matrix polynomials to simpler forms. Zbl 1383.65039 Nakatsukasa, Yuji; Taslaman, Leo; Tisseur, Françoise; Zaballa, Ion 1 2018 Approximating the \(p\)th root by composite rational functions. Zbl 1471.41006 Gawlik, Evan S.; Nakatsukasa, Yuji 1 2021 Rectangular eigenvalue problems. Zbl 1510.65065 Hashemi, Behnam; Nakatsukasa, Yuji; Trefethen, Lloyd N. 1 2022 Fast graph sampling set selection using gershgorin disc alignment. Zbl 07590903 Bai, Yuanchao; Wang, Fen; Cheung, Gene; Nakatsukasa, Yuji; Gao, Wen 1 2020 Least-squares spectral methods for ODE eigenvalue problems. Zbl 07605329 Hashemi, Behnam; Nakatsukasa, Yuji 1 2022 Efficient semidefinite programming with approximate ADMM. Zbl 1484.90068 Rontsis, Nikitas; Goulart, Paul; Nakatsukasa, Yuji 1 2022 Stable and efficient computation of generalized polar decompositions. Zbl 1492.65116 Benner, Peter; Nakatsukasa, Yuji; Penke, Carolin 1 2022 Rational approximation of \(x^n\). Zbl 1402.41004 Nakatsukasa, Yuji; Trefethen, Lloyd N. 1 2018 Numerical linear algebra. Twenty-fifth anniversary edition. Zbl 1510.65092 Trefethen, Lloyd N.; Bau, David III 3 2022 Rectangular eigenvalue problems. Zbl 1510.65065 Hashemi, Behnam; Nakatsukasa, Yuji; Trefethen, Lloyd N. 1 2022 Least-squares spectral methods for ODE eigenvalue problems. Zbl 07605329 Hashemi, Behnam; Nakatsukasa, Yuji 1 2022 Efficient semidefinite programming with approximate ADMM. Zbl 1484.90068 Rontsis, Nikitas; Goulart, Paul; Nakatsukasa, Yuji 1 2022 Stable and efficient computation of generalized polar decompositions. Zbl 1492.65116 Benner, Peter; Nakatsukasa, Yuji; Penke, Carolin 1 2022 Vandermonde with Arnoldi. Zbl 1484.65022 Brubeck, Pablo D.; Nakatsukasa, Yuji; Trefethen, Lloyd N. 15 2021 Exponential node clustering at singularities for rational approximation, quadrature, and PDEs. Zbl 1467.65021 Trefethen, Lloyd N.; Nakatsukasa, Yuji; Weideman, J. A. C. 10 2021 Reciprocal-log approximation and planar PDE solvers. Zbl 1482.65220 Nakatsukasa, Yuji; Trefethen, Lloyd N. 6 2021 Error localization of best \(L_1\) polynomial approximants. Zbl 1461.65018 Nakatsukasa, Yuji; Townsend, Alex 2 2021 Approximating the \(p\)th root by composite rational functions. Zbl 1471.41006 Gawlik, Evan S.; Nakatsukasa, Yuji 1 2021 An algorithm for real and complex rational minimax approximation. Zbl 1452.65035 Nakatsukasa, Yuji; Trefethen, Lloyd N. 8 2020 Shifted Cholesky QR for computing the QR factorization of ill-conditioned matrices. Zbl 1434.65041 Fukaya, Takeshi; Kannan, Ramaseshan; Nakatsukasa, Yuji; Yamamoto, Yusaku; Yanagisawa, Yuka 6 2020 Sharp error bounds for Ritz vectors and approximate singular vectors. Zbl 1441.65038 Nakatsukasa, Yuji 3 2020 Accuracy of approximate projection to the semidefinite cone. Zbl 1436.65036 Goulart, Paul J.; Nakatsukasa, Yuji; Rontsis, Nikitas 3 2020 Fast graph sampling set selection using gershgorin disc alignment. Zbl 07590903 Bai, Yuanchao; Wang, Fen; Cheung, Gene; Nakatsukasa, Yuji; Gao, Wen 1 2020 Eigenvalue-based algorithm and analysis for nonconvex QCQP with one constraint. Zbl 1411.90246 Adachi, Satoru; Nakatsukasa, Yuji 11 2019 Inertia laws and localization of real eigenvalues for generalized indefinite eigenvalue problems. Zbl 1420.15010 Nakatsukasa, Yuji; Noferini, Vanni 3 2019 The AAA algorithm for rational approximation. Zbl 1390.41015 Nakatsukasa, Yuji; Sète, Olivier; Trefethen, Lloyd N. 91 2018 Rational minimax approximation via adaptive barycentric representations. Zbl 1396.41011 Filip, Silviu-Ioan; Nakatsukasa, Yuji; Trefethen, Lloyd N.; Beckermann, Bernhard 23 2018 On orthogonal tensors and best rank-one approximation ratio. Zbl 1390.15081 Li, Zhening; Nakatsukasa, Yuji; Soma, Tasuku; Uschmajew, André 17 2018 Fourth-order time-stepping for stiff PDEs on the sphere. Zbl 1383.65112 Montanelli, Hadrien; Nakatsukasa, Yuji 5 2018 Stable polefinding and rational least-squares fitting via eigenvalues. Zbl 1391.65033 Ito, Shinji; Nakatsukasa, Yuji 2 2018 A backward stable algorithm for computing the CS decomposition via the polar decomposition. Zbl 1401.65044 Gawlik, Evan S.; Nakatsukasa, Yuji; Sutton, Brian D. 2 2018 On the spectral problem for trivariate functions. Zbl 06989586 Hashemi, Behnam; Nakatsukasa, Yuji 2 2018 Reduction of matrix polynomials to simpler forms. Zbl 1383.65039 Nakatsukasa, Yuji; Taslaman, Leo; Tisseur, Françoise; Zaballa, Ion 1 2018 Rational approximation of \(x^n\). Zbl 1402.41004 Nakatsukasa, Yuji; Trefethen, Lloyd N. 1 2018 Solving the trust-region subproblem by a generalized eigenvalue problem. Zbl 1359.49009 Adachi, Satoru; Iwata, Satoru; Nakatsukasa, Yuji; Takeda, Akiko 38 2017 Vector spaces of linearizations for matrix polynomials: a bivariate polynomial approach. Zbl 1355.65058 Nakatsukasa, Yuji; Noferini, Vanni; Townsend, Alex 29 2017 Finding a low-rank basis in a matrix subspace. Zbl 1358.90107 Nakatsukasa, Yuji; Soma, Tasuku; Uschmajew, André 6 2017 Accuracy of singular vectors obtained by projection-based SVD methods. Zbl 1386.65116 Nakatsukasa, Yuji 5 2017 Solving generalized CDT problems via two-parameter eigenvalues. Zbl 1346.49050 Sakaue, Shinsaku; Nakatsukasa, Yuji; Takeda, Akiko; Iwata, Satoru 22 2016 Computing fundamental matrix decompositions accurately via the matrix sign function in two iterations: the power of Zolotarev’s functions. Zbl 1383.15012 Nakatsukasa, Yuji; Freund, Roland W. 21 2016 On the stability of computing polynomial roots via confederate linearizations. Zbl 1347.65096 Nakatsukasa, Yuji; Noferini, Vanni 16 2016 Scaled and squared subdiagonal Padé approximation for the matrix exponential. Zbl 1382.65125 Güttel, Stefan; Nakatsukasa, Yuji 4 2016 Roundoff error analysis of the CholeskyQR2 algorithm in an oblique inner product. Zbl 1415.65068 Yamamoto, Yusaku; Nakatsukasa, Yuji; Yanagisawa, Yuka; Fukaya, Takeshi 2 2016 Computing the common zeros of two bivariate functions via Bézout resultants. Zbl 1308.65076 Nakatsukasa, Yuji; Noferini, Vanni; Townsend, Alex 15 2015 Roundoff error analysis of the CholeskyQR2 algorithm. Zbl 1330.65049 Yamamoto, Yusaku; Nakatsukasa, Yuji; Yanagisawa, Yuka; Fukaya, Takeshi 12 2015 Computing the signed distance between overlapping ellipsoids. Zbl 1334.49100 Iwata, Satoru; Nakatsukasa, Yuji; Takeda, Akiko 4 2015 A logarithmic minimization property of the unitary polar factor in the spectral and Frobenius norms. Zbl 1309.15016 Neff, Patrizio; Nakatsukasa, Yuji; Fischle, Andreas 21 2014 The minimization of matrix logarithms: on a fundamental property of the unitary polar factor. Zbl 1302.15009 Lankeit, Johannes; Neff, Patrizio; Nakatsukasa, Yuji 19 2014 Stable and efficient spectral divide and conquer algorithms for the symmetric eigenvalue decomposition and the SVD. Zbl 1326.65049 Nakatsukasa, Yuji; Higham, Nicholas J. 15 2013 Mysteries around the graph Laplacian eigenvalue 4. Zbl 1262.05102 Nakatsukasa, Yuji; Saito, Naoki; Woei, Ernest 11 2013 Backward stability of iterations for computing the polar decomposition. Zbl 1252.65083 Nakatsukasa, Yuji; Higham, Nicholas J. 10 2012 Eigenvalue perturbation bounds for Hermitian block tridiagonal matrices. Zbl 1234.15005 Nakatsukasa, Yuji 8 2012 The tan \(\theta \) theorem with relaxed conditions. Zbl 1244.15013 Nakatsukasa, Yuji 4 2012 On the condition numbers of a multiple eigenvalue of a generalized eigenvalue problem. Zbl 1252.15012 Nakatsukasa, Yuji 4 2012 dqds with aggressive early deflation. Zbl 1248.65042 Nakatsukasa, Yuji; Aishima, Kensuke; Yamazaki, Ichitaro 3 2012 Perturbation of multiple eigenvalues of Hermitian matrices. Zbl 1242.15016 Li, Ren-Cang; Nakatsukasa, Yuji; Truhar, Ninoslav; Wang, Wei-Guo 1 2012 Gerschgorin’s theorem for generalized eigenvalue problems in the Euclidean metric. Zbl 1230.15012 Nakatsukasa, Yuji 10 2011 Perturbation of partitioned Hermitian definite generalized eigenvalue problems. Zbl 1230.15011 Li, Ren-Cang; Nakatsukasa, Yuji; Truhar, Ninoslav; Xu, Shufang 7 2011 Optimizing Halley’s iteration for computing the matrix polar decomposition. Zbl 1215.65081 Nakatsukasa, Yuji; Bai, Zhaojun; Gygi, François 17 2010 Absolute and relative Weyl theorems for generalized eigenvalue problems. Zbl 1186.15017 Nakatsukasa, Yuji 7 2010 Perturbation behavior of a multiple eigenvalue in generalized Hermitian eigenvalue problems. Zbl 1189.15025 Nakatsukasa, Yuji 4 2010 all cited Publications top 5 cited Publications all top 5 Cited by 640 Authors 34 Nakatsukasa, Yuji 18 Neff, Patrizio 16 Noferini, Vanni 16 Trefethen, Lloyd Nicholas 9 Dopico, Froilán M. 9 Salahi, Maziar 8 Pérez, Javier J. 8 Xia, Yong 7 Townsend, Alex 6 Martin, Robert J. 6 Van Dooren, Paul M. 5 Beckermann, Bernhard 5 Benner, Peter 5 Fischle, Andreas 5 Gawlik, Evan S. 5 Goulart, Paul J. 5 Gugercin, Serkan 5 Hofreither, Clemens 5 Van Barel, Marc 4 Ansary Karbasy, Saeid 4 Ghiba, Ionel-Dumitrel 4 Güttel, Stefan 4 Higham, Nicholas J. 4 Huybrechs, Daan 4 Kılınç Karzan, Fatma 4 Lankeit, Johannes 4 Lawrence, Piers W. 4 Locatelli, Marco 4 Plestenjak, Bor 4 Rontsis, Nikitas 4 Takeda, Akiko 4 Truhar, Ninoslav 4 Ugon, Julien 4 Wang, Jiulin 4 Wohlmuth, Barbara I. 3 Berrut, Jean-Paul 3 Borisov, Lev A. 3 Corless, Robert Malcolm 3 De Lathauwer, Lieven 3 De Marchi, Stefano 3 Derevianko, Nadiia 3 Elefante, Giacomo 3 Gosea, Ion Victor 3 Higham, Desmond J. 3 Hochstenbach, Michiel E. 3 Iwata, Satoru 3 Khristenko, Ustim 3 Kressner, Daniel 3 Li, Wen 3 Li, Zhening 3 Lund, Kathryn 3 Lustri, Christopher J. 3 Peiris, Vinesha 3 Penke, Carolin 3 Plonka, Gerlind 3 Saibaba, Arvind Krishna 3 Saito, Naoki 3 Shao, Meiyue 3 Sra, Suvrit 3 Sukhorukova, Nadezda 3 Taati, Akram 3 Uschmajew, André 3 Vong, Seakweng 3 Wang, Alex L. 3 Yamamoto, Yusaku 2 Adachi, Satoru 2 Arrigo, Francesca 2 Avron, Haim 2 Carson, Erin Claire 2 Consolini, Luca 2 Deng, Guo 2 Eidel, Bernhard 2 Eisenmann, Henrik 2 Fukaya, Takeshi 2 Georgieva, Irina 2 Glaubitz, Jan 2 Gopal, Abinand 2 Goyal, Pawan 2 Grindrod, Peter 2 Hashemi, Behnam 2 Imakura, Akira 2 Jiang, Rujun 2 Jin, Bangti 2 Kozhasov, Khazhgali 2 Lang, Bruno 2 Li, Duan 2 Lushnikov, Pavel Mikhaĭlovich 2 Mach, Thomas 2 Malachivskyy, Petro S. 2 Marcaida, Silvia 2 Marchetti, Francesco 2 Meerbergen, Karl 2 Mengi, Emre 2 Mildenberger, Sophie 2 Miodragović, Suzana 2 Mlinarić, Petar 2 Nie, Jiawang 2 Nordström, Jan 2 Öffner, Philipp 2 Peng, Xiaofei ...and 540 more Authors all top 5 Cited in 118 Serials 35 SIAM Journal on Matrix Analysis and Applications 30 Linear Algebra and its Applications 22 SIAM Journal on Scientific Computing 21 SIAM Journal on Optimization 11 Numerische Mathematik 11 Numerical Algorithms 10 Journal of Computational Physics 8 Journal of Computational and Applied Mathematics 7 Applied Mathematics and Computation 7 Journal of Optimization Theory and Applications 7 SIAM Journal on Numerical Analysis 7 ETNA. Electronic Transactions on Numerical Analysis 6 Applied Numerical Mathematics 6 Mathematical Programming. Series A. Series B 5 BIT 5 Journal of Scientific Computing 5 Japan Journal of Industrial and Applied Mathematics 5 Journal of Global Optimization 5 Computational Optimization and Applications 5 Advances in Computational Mathematics 5 ELA. The Electronic Journal of Linear Algebra 4 Linear and Multilinear Algebra 4 Mathematics of Computation 4 Calcolo 4 Optimization 4 Applied Mathematics Letters 4 SIAM Review 4 Applied and Computational Harmonic Analysis 4 SIAM Journal on Applied Algebra and Geometry 3 Computer Methods in Applied Mechanics and Engineering 3 Constructive Approximation 3 Mathematics and Mechanics of Solids 3 Journal of Inequalities and Applications 3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Computers & Mathematics with Applications 2 Inverse Problems 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 ACM Transactions on Mathematical Software 2 Journal of Approximation Theory 2 Proceedings of the American Mathematical Society 2 Studies in Applied Mathematics 2 Acta Applicandae Mathematicae 2 Physica D 2 SIAM Journal on Applied Mathematics 2 Cybernetics and Systems Analysis 2 The Journal of Fourier Analysis and Applications 2 Optimization Methods & Software 2 Multiscale Modeling & Simulation 2 Optimization Letters 2 Journal of Geometric Mechanics 2 JSIAM Letters 2 Sampling Theory, Signal Processing, and Data Analysis 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 Computer Physics Communications 1 International Journal of Engineering Science 1 Journal of Fluid Mechanics 1 Journal of the Franklin Institute 1 Journal of the Mechanics and Physics of Solids 1 Lithuanian Mathematical Journal 1 Nonlinearity 1 Russian Mathematical Surveys 1 Theoretical and Mathematical Physics 1 Acta Mathematica Vietnamica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archiv der Mathematik 1 Automatica 1 Journal of Algebra 1 Numerical Functional Analysis and Optimization 1 SIAM Journal on Control and Optimization 1 Bulletin of the Iranian Mathematical Society 1 Computer Aided Geometric Design 1 Journal of Symbolic Computation 1 Communications in Statistics. Theory and Methods 1 Journal of Elasticity 1 Stochastic Processes and their Applications 1 Journal of Nonlinear Science 1 Continuum Mechanics and Thermodynamics 1 Calculus of Variations and Partial Differential Equations 1 Numerical Linear Algebra with Applications 1 Computational and Applied Mathematics 1 Applied Mathematical Finance 1 Mathematical Problems in Engineering 1 Mathematical Methods of Operations Research 1 Journal of Combinatorial Optimization 1 Fractional Calculus & Applied Analysis 1 Discrete Dynamics in Nature and Society 1 Econometric Theory 1 Mathematical Modelling and Analysis 1 Foundations of Computational Mathematics 1 Journal of Machine Learning Research (JMLR) 1 Journal of Numerical Mathematics 1 Computational Methods and Function Theory 1 SIAM Journal on Applied Dynamical Systems 1 Analysis and Applications (Singapore) 1 Acta Numerica 1 Advances in Difference Equations 1 International Journal of Numerical Analysis and Modeling 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 GAMM-Mitteilungen ...and 18 more Serials all top 5 Cited in 46 Fields 243 Numerical analysis (65-XX) 121 Linear and multilinear algebra; matrix theory (15-XX) 83 Operations research, mathematical programming (90-XX) 58 Approximations and expansions (41-XX) 31 Partial differential equations (35-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 19 Mechanics of deformable solids (74-XX) 18 Computer science (68-XX) 17 Real functions (26-XX) 16 Harmonic analysis on Euclidean spaces (42-XX) 16 Systems theory; control (93-XX) 15 Operator theory (47-XX) 15 Information and communication theory, circuits (94-XX) 14 Combinatorics (05-XX) 11 Functions of a complex variable (30-XX) 7 Fluid mechanics (76-XX) 5 Algebraic geometry (14-XX) 5 Ordinary differential equations (34-XX) 5 Functional analysis (46-XX) 5 Differential geometry (53-XX) 5 Probability theory and stochastic processes (60-XX) 5 Statistics (62-XX) 5 Quantum theory (81-XX) 4 Commutative algebra (13-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Topological groups, Lie groups (22-XX) 3 Special functions (33-XX) 3 Integral transforms, operational calculus (44-XX) 3 Convex and discrete geometry (52-XX) 2 Measure and integration (28-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Integral equations (45-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of particles and systems (70-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX) Citations by Year