Edit Profile (opens in new tab) Pan, Victor Yakovlevich Co-Author Distance Author ID: pan.victor-ya Published as: Pan, Victor Y.; Pan, Victor; Pan, V. Y.; Pan, V.; Pan, V. Ya.; Pan, Victor Ya.; Pan, V. J.; Pan, V. Ja. more...less Further Spellings: Пан, Виктор Яковлевич Homepage: http://comet.lehman.cuny.edu/vpan/ External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Documents Indexed: 280 Publications since 1958, including 3 Books and 24 Additional arXiv Preprints Co-Authors: 72 Co-Authors with 160 Joint Publications 1,806 Co-Co-Authors all top 5 Co-Authors 118 single-authored 21 Bini, Dario Andrea 16 Zhao, Liang 16 Zheng, Ailong 15 Reif, John H. 13 Luan, Qi 11 Qian, Guoliang 11 Rosholt, Rhys Eric 10 Murphy, Brian J. 9 Mourrain, Bernard 9 Wang, Xinmao 8 Svadlenka, John 8 Yan, Xiaodong 7 Imbach, Rémi 6 Emiris, Ioannis Z. 6 Huang, Xiaohan 6 Tang, Yuqing 6 Tsigaridas, Elias P. 5 Yu, Yanqiang 4 Gemignani, Luca 4 Ivolgin, Dmitriy 4 Sadikou, Akimou 3 Atinkpahoun, Antoine 3 Chen, Zhao 3 Go, Soo 3 Landowne, Elliott Isaac 3 Sobze, Isdor 2 Bondyfalat, Didier 2 Codevico, Gianni 2 Dias, Olen 2 Galil, Zvi 2 Kunin, M. 2 Lin-Kriz, Yu 2 Linzer, Elliot N. 2 Preparata, Franco P. 2 Ruatta, Olivier 2 Schreiber, Robert S. 2 Van Barel, Marc 2 Yap, Chee-Keng 2 Zaderman, Vitaly 1 Abu Tabanjeh, M. 1 Brönnimann, Hervé 1 Demmel, James Weldon 1 Grady, Devin K. 1 Han, Wenbao 1 Han, Yijie 1 Hauenstein, Jonathan D. 1 He, Matthew Xisheng 1 Kaltofen, Erich L. 1 Ke, ShanXue 1 Kim, Myonghi 1 Kim, Wongeun 1 Kodal, H. 1 Kotsireas, Ilias S. 1 Laderman, Julian D. 1 Li, Keqin 1 McNamee, John Michael 1 Miranker, Willard Lee 1 Olshevsky, Vadim 1 Pion, Sylvain 1 Providence, S. 1 Qian, Guolian 1 Rami, Youssef 1 Ruslanov, Anatole D. 1 Sha, Xuan-He 1 Shallcross, David F. 1 Soleymani, Fazlollah 1 Szántó, Ágnes 1 Tabanjeh, M. A. 1 Taj-Eddin, Islam 1 Tate, Stephen R. 1 Tiga, Olen 1 Zeng, Bensheng all top 5 Serials 44 Computers & Mathematics with Applications 18 Linear Algebra and its Applications 12 Journal of Complexity 11 SIAM Journal on Computing 10 Theoretical Computer Science 8 Information Processing Letters 6 Journal of Symbolic Computation 6 Applied Mathematics Letters 4 Mathematics of Computation 4 Journal of Algorithms 3 Uspekhi Matematicheskikh Nauk [N. S.] 3 SIAM Journal on Matrix Analysis and Applications 3 SIAM Review 2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 2 Calcolo 2 SIAM Journal on Scientific and Statistical Computing 2 Operations Research Letters 2 Algorithmica 2 Information and Computation 2 Mathematical and Computer Modelling 2 Numerical Algorithms 2 U.S.S.R. Computational Mathematics and Mathematical Physics 2 Computers and Mathematics with Applications. Part A 1 Doklady Akademii Nauk SSSR 1 Applied Mathematics and Computation 1 Computing 1 IEEE Transactions on Computers 1 Journal of Computer and System Sciences 1 Numerische Mathematik 1 Combinatorica 1 Science in China. Series A 1 Zapiski Nauchnykh Seminarov POMI 1 Journal of Mathematical Sciences (New York) 1 Finite Fields and their Applications 1 ETNA. Electronic Transactions on Numerical Analysis 1 Annals of Numerical Mathematics 1 Advances in Computational Mathematics 1 Sbornik: Mathematics 1 Nauchnye Doklady Vyssheĭ Shkoly. Fiziko-Matematicheskie Nauki 1 Lecture Notes in Computer Science 1 Methods of Operations Research 1 Problemy Kibernetiki all top 5 Fields 198 Numerical analysis (65-XX) 110 Computer science (68-XX) 48 Field theory and polynomials (12-XX) 39 Linear and multilinear algebra; matrix theory (15-XX) 26 Functions of a complex variable (30-XX) 25 Real functions (26-XX) 10 Operations research, mathematical programming (90-XX) 9 Operator theory (47-XX) 6 Combinatorics (05-XX) 5 Information and communication theory, circuits (94-XX) 4 Number theory (11-XX) 4 Approximations and expansions (41-XX) 3 Commutative algebra (13-XX) 2 History and biography (01-XX) 2 Mathematical logic and foundations (03-XX) 2 Partial differential equations (35-XX) 1 Special functions (33-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 205 Publications have been cited 1,926 times in 963 Documents Cited by ▼ Year ▼ Solving a polynomial equation: Some history and recent progress. Zbl 0873.65050 Pan, Victor Y. 112 1997 Polynomial and matrix computations. Fundamental algorithms. Vol. 1. Zbl 0809.65012 Bini, Dario; Pan, Victor Y. 112 1994 Structured matrices and polynomials. Unified superfast algorithms. Zbl 0996.65028 Pan, Victor Y. 107 2001 Univariate polynomials: Nearly optimal algorithms for numerical factorization and root-finding. Zbl 1004.65061 Pan, Victor Y. 65 2002 An improved Newton iteration for the generalized inverse of a matrix, with applications. Zbl 0733.65023 Pan, Victor; Schreiber, Robert 57 1991 Fast rectangular matrix multiplication and applications. Zbl 0919.65030 Huang, Xiaohan; Pan, Victor Y. 53 1998 How to multiply matrices faster. Zbl 0548.65022 Pan, Victor 52 1984 Fast and stable QR eigenvalue algorithms for generalized companion matrices and secular equations. Zbl 1072.65068 Bini, Dario A.; Gemignani, Luca; Pan, Victor Y. 40 2005 Multivariate polynomials, duality, and structured matrices. Zbl 0963.68232 Mourrain, Bernard; Pan, Victor Y. 36 2000 Optimal and nearly optimal algorithms for approximating polynomial zeros. Zbl 0859.65045 Pan, V. Y. 36 1996 Computation of approximate polynomial GCDs and an extension. Zbl 1005.12004 Pan, Victor Y. 34 2001 On computations with dense structured matrices. Zbl 0703.47022 Pan, Victor 33 1990 How bad are Vandermonde matrices? Zbl 1382.15008 Pan, Victor Y. 33 2016 The complexity of the matrix eigenproblem. Zbl 1346.68103 Pan, Victor Y.; Chen, Zhao Q. 30 1999 Approximating complex polynomial zeros: modified Weyl’s quadtree construction and improved Newton’s iteration. Zbl 1041.65043 Pan, Victor Y. 24 2000 Inverse power and Durand-Kerner iterations for univariate polynomial root-finding. Zbl 1054.65046 Bini, D. A.; Gemignani, L.; Pan, V. Y. 23 2004 Polynomial division and its computational complexity. Zbl 0629.68040 Bini, Dario; Pan, Victor 22 1986 Methods of aggregation. Zbl 0496.65010 Miranker, W. L.; Pan, V. Ya. 22 1980 Complexity of computations with matrices and polynomials. Zbl 0757.65051 Pan, Victor 22 1992 Complexity of parallel matrix computations. Zbl 0641.68058 Pan, Victor 21 1987 How can we speed up matrix multiplication? Zbl 0563.65028 Pan, Victor 21 1984 New fast algorithms for matrix operations. Zbl 0446.68034 Pan, V. Ya. 21 1980 Optimal (up to polylog factors) sequential and parallel algorithms for approximating complex polynomial zeros. Zbl 0942.68796 Pan, Victor Y. 18 1995 Sequential and parallel complexity of approximate evaluation of polynomial zeros. Zbl 0634.65036 Pan, V. 17 1987 Structured matrices and Newton’s iteration: unified approach. Zbl 0998.65039 Pan, Victor Y.; Rami, Youssef; Wang, Xinmao 17 2002 Symbolic and numeric methods for exploiting structure in constructing resultant matrices. Zbl 1017.65049 Emiris, Ioannis Z.; Pan, Victor Y. 16 2002 Additive preconditioning and aggregation in matrix computations. Zbl 1139.65034 Pan, Victor Y.; Ivolgin, Dmitriy; Murphy, Brian; Rosholt, Rhys Eric; Taj-Eddin, Islam; Tang, Yuqing; Yan, Xiaodong 15 2008 On practical algorithms for accelerated matrix multiplication. Zbl 0748.65043 Laderman, Julian; Pan, Victor; Sha, Xuan-He 15 1992 An efficient computation of generalized inverse of a matrix. Zbl 1426.65040 Pan, V. Y.; Soleymani, F.; Zhao, L. 15 2018 Improved processor bounds for combinatorial problems in RNC. Zbl 0685.68048 Galil, Z.; Pan, V. 14 1988 Improved algorithms for computing determinants and resultants. Zbl 1101.68981 Emiris, Ioannis Z.; Pan, Victor Y. 14 2005 Simple multivariate polynomial multiplication. Zbl 0831.12004 Pan, Victor Y. 13 1994 Improved initialization of the accelerated and robust QR-like polynomial root-finding. Zbl 1065.65065 Bini, Dario A.; Gemignani, Luca; Pan, Victor Y. 13 2004 Improved parallel computations with Toeplitz-like and Hankel-like matrices. Zbl 0776.65022 Bini, Dario; Pan, Victor 13 1993 Efficient algorithms for the evaluation of the eigenvalues of (block) banded Toeplitz matrices. Zbl 0646.65035 Bini, D.; Pan, V. 12 1988 Fast and efficient parallel solution of dense linear systems. Zbl 0684.65024 Pan, V.; Reif, J. 12 1989 Randomized preprocessing of homogeneous linear systems of equations. Zbl 1202.65038 Pan, Victor Y.; Qian, Guoliang 12 2010 The structure of sparse resultant matrices. Zbl 0916.65046 Emiris, Ioannis Z.; Pan, Victor Y. 12 1997 Schur aggregation for linear systems and determinants. Zbl 1159.65046 Pan, V. Y.; Grady, Devin; Murphy, B.; Qian, G.; Rosholt, R. E.; Ruslanov, A. D. 12 2008 Newton-like iteration based on a cubic polynomial for structured matrices. Zbl 1068.65050 Codevico, Gianni; Pan, Victor Y.; Van Barel, Marc 12 2004 Decreasing the displacement rank of a matrix. Zbl 0772.15012 Pan, Victor 12 1993 Parallel complexity of tridiagonal symmetric eigenvalue problem. Zbl 0800.68501 Bini, Dario; Pan, Victor 12 1991 On the Boolean complexity of real root refinement. Zbl 1360.65140 Pan, Victor Y.; Tsigaridas, Elias P. 12 2013 Additive preconditioning for matrix computations. Zbl 1191.65024 Pan, Victor Y.; Ivolgin, Dmitriy; Murphy, Brian; Rosholt, Rhys Eric; Tang, Yuqing; Yan, Xiaodong 11 2010 Sign determination in residue number systems. Zbl 0912.68083 Brönnimann, Hervé; Emiris, Ioannis Z.; Pan, Victor Y.; Pion, Sylvain 11 1999 Parametrization of Newton’s iteration for computations with structured matrices and applications. Zbl 0772.65013 Pan, Victor 11 1992 New combinations of methods for the acceleration of matrix multiplication. Zbl 0465.68019 Pan, V. Ya. 11 1981 Univariate polynomials, nearly optimal algorithms for factorization and rootfinding. Zbl 1356.65125 Pan, Victor Y. 11 2001 Additive preconditioning for matrix computations. Zbl 1142.68607 Pan, Victor Y.; Ivolgin, Dmitriy; Murphy, Brian; Rosholt, Rhys Eric; Tang, Yuqing; Yan, Xiaodong 10 2008 Certification of numerical computation of the sign of the determinant of a matrix. Zbl 1004.65058 Pan, V. Y.; Yu, Y. 10 2001 Efficient polynomial root-refiners: a survey and new record efficiency estimates. Zbl 1238.65044 McNamee, J. M.; Pan, Victor Y. 10 2012 Inversion of displacement operators. Zbl 1056.47015 Pan, Victor Y.; Wang, Xinmao 10 2003 Additive preconditioning, eigenspaces, and the inverse iteration. Zbl 1159.65043 Pan, Victor Y.; Yan, Xiaodong 10 2009 Solving special polynomial systems by using structured matrices and algebraic residues. Zbl 0922.65044 Mourrain, Bernard; Pan, Victor Y. 10 1997 Algebraic complexity of computing polynomial zeros. Zbl 0632.65052 Pan, V. 9 1987 A new approach to fast polynomial interpolation and multipoint evaluation. Zbl 0772.65005 Pan, Victor; Sadikou, Akimou; Landowne, Elliott; Tiga, Olen 9 1993 Newton’s iteration for matrix inversion, advances and extensions. Zbl 1215.65063 Pan, Victor Y. 9 2010 New progress in real and complex polynomial root-finding. Zbl 1217.65087 Pan, Victor Y.; Zheng, Ai-Long 9 2011 Trilinear aggregating with implicit canceling for a new acceleration of matrix multiplication. Zbl 0474.65024 Pan, V. Ya. 9 1982 Processor-efficient parallel solution of linear systems. II: The positive characteristic and singular cases. (Extended abstract). Zbl 0977.68879 Kaltofen, Erich; Pan, Victor 9 1992 Iterative inversion of structured matrices. Zbl 1059.65032 Pan, Victor Y.; Van Barel, Marc; Wang, Xinmao; Codevico, Gianni 9 2004 Acceleration of Euclidean algorithm and rational number reconstruction. Zbl 1031.68149 Wang, Xinmao; Pan, Victor Y. 9 2003 Random multipliers numerically stabilize Gaussian and block Gaussian elimination: proofs and an extension to low-rank approximation. Zbl 1317.65080 Pan, Victor Y.; Qian, Guoliang; Yan, Xiaodong 9 2015 Nearly optimal refinement of real roots of a univariate polynomial. Zbl 1329.65096 Pan, Victor Y.; Tsigaridas, Elias P. 9 2016 Randomized preprocessing versus pivoting. Zbl 1261.65030 Pan, Victor Y.; Qian, Guoliang; Zheng, Ai-Long 9 2013 Fast and efficient solution of path algebra problems. Zbl 0682.68055 Pan, Victor; Reif, John 8 1989 Nearly optimal computations with structured matrices. Zbl 0953.65030 Pan, Victor Y. 8 2000 New techniques for the computation of linear recurrence coefficients. Zbl 0978.65130 Pan, Victor Y. 8 2000 Homotopic residual correction processes. Zbl 1084.65034 Pan, V. Y.; Kunin, M.; Rosholt, R. E.; Kodal, H. 8 2006 Methods of computing values of polynomials. Zbl 0173.17802 Pan, V. J. 8 1966 Parallel computation of polynomial GCD and some related parallel computations over abstract fields. Zbl 0874.12010 Pan, Victor Y. 8 1996 Fast and efficient parallel solution of sparse linear systems. Zbl 0790.65018 Pan, Victor; Reif, John 8 1993 Transformations of matrix structures work again. Zbl 1310.15006 Pan, Victor Y. 8 2015 Parallel evaluation of the determinant and of the inverse of a matrix. Zbl 0664.68040 Galil, Zvi; Pan, Victor 7 1989 Matrix computations and polynomial root-finding with preprocessing. Zbl 1410.65081 Pan, Victor Y.; Qian, Guoliang; Zheng, Ai-Long; Chen, Zhao 7 2011 Superfast algorithms for Cauchy-like matrix computations and extensions. Zbl 0971.65024 Pan, Victor Y.; Zheng, Ailong 7 2000 Computing matrix eigenvalues and polynomial zeros where the output is real. Zbl 0911.68050 Bini, Dario; Pan, Victor Y. 7 1998 The amended DSeSC power method for polynomial root-finding. Zbl 1077.65049 Pan, V. Y. 7 2005 Computation of a specified root of a polynomial system of equations using eigenvectors. Zbl 0973.65038 Bondyfalat, Didier; Mourrain, Bernard; Pan, Victor Y. 7 2000 The bit-operation complexity of matrix multiplication and of all pair shortest path problem. Zbl 0462.68019 Pan, V. Ya. 7 1981 Asymptotic acceleration of solving multivariate polynomial systems of equations. Zbl 1028.68216 Mourrain, Bernard; Pan, Victor Y. 7 1998 Computing the determinant and the characteristic polynomial of a matrix via solving linear systems of equations. Zbl 0662.65039 Pan, Victor 6 1988 Fast and efficient parallel evaluation of the zeros of a polynomial having only real zeros. Zbl 0682.65023 Pan, V. 6 1989 Practical improvement of the divide-and-conquer eigenvalue algorithms. Zbl 0756.65053 Bini, D.; Pan, V. 6 1992 Graeffe’s, Chebyshev-like, and Cardinal’s processes for splitting a polynomial into factors. Zbl 0862.68055 Bini, Dario; Pan, Victor Y. 6 1996 New techniques for approximating complex polynomial zeros. Zbl 0867.65021 Pan, Victor Y. 6 1994 Estimating the norms of random circulant and Toeplitz matrices and their inverses. Zbl 1307.15057 Pan, Victor Y.; Svadlenka, John; Zhao, Liang 6 2015 Deterministic improvement of complex polynomial factorization based on the properties of the associated resultant. Zbl 0839.68033 Pan, V. Y. 5 1995 On the complexity of a pivot step of the revised simplex algorithm. Zbl 0582.90066 Pan, V. 5 1985 Fast evaluation and interpolation at the Chebyshev sets of points. Zbl 0705.65007 Pan, Victor 5 1989 The bit-complexity of discrete solutions of partial differential equations: Compact multigrid. Zbl 0711.65100 Pan, V.; Reif, J. 5 1990 Algebraic and numerical techniques for the computation of matrix determinants. Zbl 0885.65052 Pan, V. Y.; Yu, Y.; Stewart, C. 5 1997 Fast multipoint polynomial evaluation and interpolation via computations with structured matrices. Zbl 0891.65005 Pan, Victor Y.; Zheng, Ailong; Huang, Xiaohan; Yu, Yanqiang 5 1997 Accelerated approximation of the complex roots and factors of a univariate polynomial. Zbl 1375.65066 Pan, Victor Y.; Tsigaridas, Elias 5 2017 Numerically safe Gaussian elimination with no pivoting. Zbl 1365.15008 Pan, Victor Y.; Zhao, Liang 5 2017 Implementation of a near-optimal complex root clustering algorithm. Zbl 1398.65095 Imbach, Rémi; Pan, Victor Y.; Yap, Chee 5 2018 Fast and efficient linear programming and linear least-squares computations. Zbl 0625.90053 Pan, V.; Reif, J. 4 1986 Fast rectangular matrix multiplication and some applications. Zbl 1151.68428 Ke, ShanXue; Zeng, BenSheng; Han, WenBao; Pan, Victor Y. 4 2008 Polynomial and rational evaluation and interpolation (with structured matrices). Zbl 0937.65010 Olshevsky, Vadim; Pan, Victor Y. 4 1999 New fast algorithms for polynomial interpolation and evaluation on the Chebyshev node set. Zbl 0914.65002 Pan, V. Y. 4 1998 Accelerated subdivision for clustering roots of polynomials given by evaluation oracles. Zbl 1514.68326 Imbach, Rémi; Pan, Victor Y. 2 2022 Root radii and subdivision for polynomial root-finding. Zbl 07497953 Imbach, Rémi; Pan, Victor Y. 1 2021 New progress in univariate polynomial root finding. Zbl 07300078 Imbach, Rémi; Pan, Victor Y. 4 2020 New practical advances in polynomial root clustering. Zbl 07441065 Imbach, Rémi; Pan, Victor Y. 2 2020 Faster numerical univariate polynomial root-finding by means of subdivision iterations. Zbl 07635844 Luan, Qi; Pan, Victor Y.; Kim, Wongeun; Zaderman, Vitaly 2 2020 Acceleration of subdivision root-finding for sparse polynomials. Zbl 07635846 Pan, Victor Y. 2 2020 Old and new nearly optimal polynomial root-finders. Zbl 1439.65064 Pan, Victor Y. 3 2019 An efficient computation of generalized inverse of a matrix. Zbl 1426.65040 Pan, V. Y.; Soleymani, F.; Zhao, L. 15 2018 Implementation of a near-optimal complex root clustering algorithm. Zbl 1398.65095 Imbach, Rémi; Pan, Victor Y.; Yap, Chee 5 2018 Accelerated approximation of the complex roots and factors of a univariate polynomial. Zbl 1375.65066 Pan, Victor Y.; Tsigaridas, Elias 5 2017 Numerically safe Gaussian elimination with no pivoting. Zbl 1365.15008 Pan, Victor Y.; Zhao, Liang 5 2017 Fast matrix multiplication and its algebraic neighbourhood. Zbl 1476.68006 Pan, Victor Ya. 3 2017 New studies of randomized augmentation and additive preprocessing. Zbl 1353.65033 Pan, Victor Y.; Zhao, Liang 3 2017 Nearly optimal computations with structured matrices. Zbl 1375.65047 Pan, Victor Y.; Tsigaridas, Elias P. 3 2017 Fast approximate computations with Cauchy matrices and polynomials. Zbl 1392.65122 Pan, Victor Y. 2 2017 How bad are Vandermonde matrices? Zbl 1382.15008 Pan, Victor Y. 33 2016 Nearly optimal refinement of real roots of a univariate polynomial. Zbl 1329.65096 Pan, Victor Y.; Tsigaridas, Elias P. 9 2016 Low-rank approximation of a matrix: novel insights, new progress, and extensions. Zbl 1477.65070 Pan, Victor Y.; Zhao, Liang 2 2016 Random multipliers numerically stabilize Gaussian and block Gaussian elimination: proofs and an extension to low-rank approximation. Zbl 1317.65080 Pan, Victor Y.; Qian, Guoliang; Yan, Xiaodong 9 2015 Transformations of matrix structures work again. Zbl 1310.15006 Pan, Victor Y. 8 2015 Estimating the norms of random circulant and Toeplitz matrices and their inverses. Zbl 1307.15057 Pan, Victor Y.; Svadlenka, John; Zhao, Liang 6 2015 Polynomial real root isolation by means of root radii approximation. Zbl 1434.65066 Pan, Victor Y.; Zhao, Liang 1 2015 Fast approximate computations with Cauchy matrices, polynomials and rational functions. Zbl 1392.65121 Pan, Victor Y. 3 2014 Nearly optimal computations with structured matrices. Zbl 1346.68297 Pan, Victor Y.; Tsigaridas, Elias P. 2 2014 Accelerated approximation of the complex roots of a univariate polynomial. Zbl 1345.65034 Pan, Victor Y.; Tsigaridas, Elias P. 2 2014 A note on global Newton iteration over Archimedean and non-Archimedean fields. Zbl 1416.68221 Hauenstein, Jonathan D.; Pan, Victor Y.; Szanto, Agnes 1 2014 On the Boolean complexity of real root refinement. Zbl 1360.65140 Pan, Victor Y.; Tsigaridas, Elias P. 12 2013 Randomized preprocessing versus pivoting. Zbl 1261.65030 Pan, Victor Y.; Qian, Guoliang; Zheng, Ai-Long 9 2013 Efficient polynomial root-refiners: a survey and new record efficiency estimates. Zbl 1238.65044 McNamee, J. M.; Pan, Victor Y. 10 2012 Solving linear systems of equations with randomization, augmentation and aggregation. Zbl 1263.65042 Pan, Victor Y.; Qian, Guoliang 3 2012 Root-refining for a polynomial equation. Zbl 1416.65133 Pan, Victor Y. 1 2012 New progress in real and complex polynomial root-finding. Zbl 1217.65087 Pan, Victor Y.; Zheng, Ai-Long 9 2011 Matrix computations and polynomial root-finding with preprocessing. Zbl 1410.65081 Pan, Victor Y.; Qian, Guoliang; Zheng, Ai-Long; Chen, Zhao 7 2011 Root-finding by expansion with independent constraints. Zbl 1232.65074 Pan, Victor Y.; Zheng, Ai-Long 3 2011 Nearly optimal solution of rational linear systems of equations with symbolic lifting and numerical initialization. Zbl 1231.15004 Pan, Victor Y. 2 2011 Randomized preconditioning of the MBA algorithm. Zbl 1323.68621 Pan, Victor Y.; Qian, Guoliang; Zheng, Ai-Long 2 2011 Univariate polynomial root-finding by arming with constraints. Zbl 1345.65033 Pan, Victor Y. 1 2011 Randomized preprocessing of homogeneous linear systems of equations. Zbl 1202.65038 Pan, Victor Y.; Qian, Guoliang 12 2010 Additive preconditioning for matrix computations. Zbl 1191.65024 Pan, Victor Y.; Ivolgin, Dmitriy; Murphy, Brian; Rosholt, Rhys Eric; Tang, Yuqing; Yan, Xiaodong 11 2010 Newton’s iteration for matrix inversion, advances and extensions. Zbl 1215.65063 Pan, Victor Y. 9 2010 Unified nearly optimal algorithms for structured integer matrices. Zbl 1203.65068 Pan, Victor Y.; Murphy, Brian J.; Rosholt, Rhys Eric 4 2010 Root-squaring with DPR1 matrices. Zbl 1288.65062 Pan, V. Y. 3 2010 Advancing matrix computations with randomized preprocessing. Zbl 1284.65061 Pan, Victor Y.; Qian, Guoliang; Zheng, Ai-Long 2 2010 Real and complex polynomial root-finding with eigen-solving and preprocessing. Zbl 1321.65079 Pan, Victor Y.; Zheng, Ai-Long 1 2010 Additive preconditioning, eigenspaces, and the inverse iteration. Zbl 1159.65043 Pan, Victor Y.; Yan, Xiaodong 10 2009 A new error-free floating-point summation algorithm. Zbl 1165.65301 Pan, V. Y.; Murphy, B.; Qian, G.; Rosholt, R. E. 3 2009 Additive preconditioning and aggregation in matrix computations. Zbl 1139.65034 Pan, Victor Y.; Ivolgin, Dmitriy; Murphy, Brian; Rosholt, Rhys Eric; Taj-Eddin, Islam; Tang, Yuqing; Yan, Xiaodong 15 2008 Schur aggregation for linear systems and determinants. Zbl 1159.65046 Pan, V. Y.; Grady, Devin; Murphy, B.; Qian, G.; Rosholt, R. E.; Ruslanov, A. D. 12 2008 Additive preconditioning for matrix computations. Zbl 1142.68607 Pan, Victor Y.; Ivolgin, Dmitriy; Murphy, Brian; Rosholt, Rhys Eric; Tang, Yuqing; Yan, Xiaodong 10 2008 Fast rectangular matrix multiplication and some applications. Zbl 1151.68428 Ke, ShanXue; Zeng, BenSheng; Han, WenBao; Pan, Victor Y. 4 2008 Degeneration of structured integer matrices modulo an integer. Zbl 1155.65025 Pan, Victor Y.; Wang, Xinmao 4 2008 Eigen-solving via reduction to DPR1 matrices. Zbl 1145.65311 Pan, V. Y.; Murphy, B.; Rosholt, R. E.; Tang, Y.; Wang, X.; Zheng, A. 1 2008 Root-finding with eigen-solving. Zbl 1117.65068 Pan, Victor Y.; Ivolgin, Dmitriy; Murphy, Brian; Rosholt, Rhys Eric; Tang, Yuqing; Wang, Xinmao; Yan, Xiaodong 3 2007 New homotopic/factorization and symmetrization techniques for Newton’s and Newton/structured iteration. Zbl 1155.65342 Pan, Victor Y. 1 2007 Homotopic residual correction processes. Zbl 1084.65034 Pan, V. Y.; Kunin, M.; Rosholt, R. E.; Kodal, H. 8 2006 Linking the TPR1, DPR1 and arrow-head matrix structures. Zbl 1132.15009 Pan, V. Y.; Kunin, M.; Murphy, B.; Rosholt, R. E.; Tang, Y.; Yan, X.; Cao, W. 2 2006 Fast and stable QR eigenvalue algorithms for generalized companion matrices and secular equations. Zbl 1072.65068 Bini, Dario A.; Gemignani, Luca; Pan, Victor Y. 40 2005 Improved algorithms for computing determinants and resultants. Zbl 1101.68981 Emiris, Ioannis Z.; Pan, Victor Y. 14 2005 The amended DSeSC power method for polynomial root-finding. Zbl 1077.65049 Pan, V. Y. 7 2005 Inverse power and Durand-Kerner iterations for univariate polynomial root-finding. Zbl 1054.65046 Bini, D. A.; Gemignani, L.; Pan, V. Y. 23 2004 Improved initialization of the accelerated and robust QR-like polynomial root-finding. Zbl 1065.65065 Bini, Dario A.; Gemignani, Luca; Pan, Victor Y. 13 2004 Newton-like iteration based on a cubic polynomial for structured matrices. Zbl 1068.65050 Codevico, Gianni; Pan, Victor Y.; Van Barel, Marc 12 2004 Iterative inversion of structured matrices. Zbl 1059.65032 Pan, Victor Y.; Van Barel, Marc; Wang, Xinmao; Codevico, Gianni 9 2004 On rational number reconstruction and approximation. Zbl 1101.68997 Pan, Victor Y.; Wang, Xinmao 3 2004 On theoretical and practical acceleration of randomized computation of the determinant of an integer matrix. Zbl 1075.65066 Pan, V. Y. 2 2004 An efficient solution for Cauchy-like systems of linear equations. Zbl 1066.65031 Chen, Z.; Pan, V. 1 2004 Inversion of displacement operators. Zbl 1056.47015 Pan, Victor Y.; Wang, Xinmao 10 2003 Acceleration of Euclidean algorithm and rational number reconstruction. Zbl 1031.68149 Wang, Xinmao; Pan, Victor Y. 9 2003 Accelerated solution of multivariate polynomial systems of equations. Zbl 1030.65051 Mourrain, B.; Pan, V. Y.; Ruatta, O. 3 2003 Matrix structure and loss-resilient encoding/decoding. Zbl 1047.94006 Pan, V. Y. 1 2003 Univariate polynomials: Nearly optimal algorithms for numerical factorization and root-finding. Zbl 1004.65061 Pan, Victor Y. 65 2002 Structured matrices and Newton’s iteration: unified approach. Zbl 0998.65039 Pan, Victor Y.; Rami, Youssef; Wang, Xinmao 17 2002 Symbolic and numeric methods for exploiting structure in constructing resultant matrices. Zbl 1017.65049 Emiris, Ioannis Z.; Pan, Victor Y. 16 2002 Acceleration of Euclidean algorithm and extensions. Zbl 1072.68691 Pan, Victor Y.; Wang, Xinmao 3 2002 Randomized acceleration of fundamental matrix computations. Zbl 1054.68830 Pan, Victor Y. 2 2002 Asymptotic acceleration of the solution of multivariate polynomial systems of equations. Zbl 1015.65022 Mourrain, B.; Pan, V. Y.; Ruatta, O. 1 2002 Structured matrices and polynomials. Unified superfast algorithms. Zbl 0996.65028 Pan, Victor Y. 107 2001 Computation of approximate polynomial GCDs and an extension. Zbl 1005.12004 Pan, Victor Y. 34 2001 Univariate polynomials, nearly optimal algorithms for factorization and rootfinding. Zbl 1356.65125 Pan, Victor Y. 11 2001 Certification of numerical computation of the sign of the determinant of a matrix. Zbl 1004.65058 Pan, V. Y.; Yu, Y. 10 2001 A homotopic residual residual correction process. Zbl 0979.65034 Pan, V. Y. 2 2001 A new proximity test for polynomial zeros. Zbl 0984.65045 Pan, V. Y. 2 2001 Multivariate polynomials, duality, and structured matrices. Zbl 0963.68232 Mourrain, Bernard; Pan, Victor Y. 36 2000 Approximating complex polynomial zeros: modified Weyl’s quadtree construction and improved Newton’s iteration. Zbl 1041.65043 Pan, Victor Y. 24 2000 Nearly optimal computations with structured matrices. Zbl 0953.65030 Pan, Victor Y. 8 2000 New techniques for the computation of linear recurrence coefficients. Zbl 0978.65130 Pan, Victor Y. 8 2000 Superfast algorithms for Cauchy-like matrix computations and extensions. Zbl 0971.65024 Pan, Victor Y.; Zheng, Ailong 7 2000 Computation of a specified root of a polynomial system of equations using eigenvectors. Zbl 0973.65038 Bondyfalat, Didier; Mourrain, Bernard; Pan, Victor Y. 7 2000 Matrix structure, polynomial arithmetic, and erasure-resilient encoding/decoding. Zbl 1326.68366 Pan, Victor Y. 1 2000 Parallel complexity of computations with general and Toeplitz-like matrices filled with integers and extensions. Zbl 0969.68190 Pan, Victor Y. 1 2000 The complexity of the matrix eigenproblem. Zbl 1346.68103 Pan, Victor Y.; Chen, Zhao Q. 30 1999 Sign determination in residue number systems. Zbl 0912.68083 Brönnimann, Hervé; Emiris, Ioannis Z.; Pan, Victor Y.; Pion, Sylvain 11 1999 Polynomial and rational evaluation and interpolation (with structured matrices). Zbl 0937.65010 Olshevsky, Vadim; Pan, Victor Y. 4 1999 Faster solution of the key equation for decoding BCH error-correcting codes. Zbl 0962.68061 Pan, Victor Y. 4 1999 Approximate real polynomial division via approximate inversion of real triangular Toeplitz matrices. Zbl 0939.65026 Pan, V. Y.; Chen, Z. Q. 3 1999 Superfast computations with singular structured matrices over abstract fields. Zbl 1086.65511 Pan, V. Y.; Zheng, A.; Abu Tabanjeh, M.; Chen, Z.; Providence, S. 3 1999 Bisection acceleration for the symmetric tridiagonal eigenvalue problem. Zbl 0947.65043 Pan, Victor Y.; Linzer, Elliot 2 1999 Certified computation of the sign of a matrix determinant. Zbl 0929.65025 Pan, Victor Y.; Yu, Yanqiang 2 1999 Fast rectangular matrix multiplication and applications. Zbl 0919.65030 Huang, Xiaohan; Pan, Victor Y. 53 1998 Computing matrix eigenvalues and polynomial zeros where the output is real. Zbl 0911.68050 Bini, Dario; Pan, Victor Y. 7 1998 ...and 105 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,268 Authors 121 Pan, Victor Yakovlevich 27 Bini, Dario Andrea 21 Gemignani, Luca 16 Tsigaridas, Elias P. 15 Lingas, Andrzej 15 Mourrain, Bernard 14 Van Barel, Marc 13 Emiris, Ioannis Z. 13 Reif, John H. 13 Schost, Éric 13 van der Hoeven, Joris 12 Soleymani, Fazlollah 11 Sagraloff, Michael 10 Stanimirović, Predrag S. 9 Bostan, Alin 9 Lecerf, Grégoire 8 Kalantari, Bahman 8 Kowaluk, Mirosław 8 Rosholt, Rhys Eric 8 Rost, Karla 8 Zhao, Liang 8 Zheng, Ailong 7 Di Fiore, Carmine 7 Heinig, Georg 7 Murphy, Brian J. 6 Chèze, Guillaume 6 Codenotti, Bruno 6 Díaz-Toca, Gema María 6 Meini, Beatrice 6 Petković, Miodrag S. 6 Vandebril, Raf 6 Winkler, Joab R. 6 Xia, Jianlin 6 Yan, Xiaodong 6 Zellini, Paolo 5 Belhaj, Skander 5 Bevilacqua, Roberto 5 Eidelman, Yuli 5 Gonzalez-Vega, Laureano 5 Imbach, Rémi 5 Minimair, Manfred 5 Ng, Michael Kwok-Po 5 Noferini, Vanni 5 Olshevsky, Vadim 5 Qian, Guoliang 5 Rojas, J. Maurice 5 Rouillier, Fabrice 5 Sankowski, Piotr 5 Srivastava, Shwetabh 5 Storjohann, Arne 5 Szántó, Ágnes 5 Tang, Yuqing 5 Wang, Xinmao 5 Wei, Yimin 4 Batra, Prashant 4 Beckermann, Bernhard 4 Boyd, John Philip 4 Galligo, André 4 Gohberg, Israel 4 Kaltofen, Erich L. 4 Kansal, Munish 4 Kaur, Manpreet 4 Mandel, Jan 4 Marco García, Ana 4 Martínez, José-Javier 4 Mastronardi, Nicola 4 Miranker, Willard Lee 4 Nakatsukasa, Yuji 4 Pérez-Díaz, Sonia 4 Robol, Leonardo 4 Salvy, Bruno 4 Schleicher, Dierk 4 Selivanova, Svetlana V. 4 Sendra, Juan Rafael 4 Sendra, Juana 4 Serra-Capizzano, Stefano 4 Solomonik, Edgar 4 Townsend, Alex 4 Villard, Gilles 4 Yuan, Chunming 4 Yuster, Raphael 3 Alcazar, Juan Gerardo 3 Barnett, Alex H. 3 Bella, Tom 3 Beltrán, Carlos E. 3 Bozzo, Enrico 3 Burr, Michael A. 3 Coxon, Nicholas 3 De Lathauwer, Lieven 3 Del Corso, Gianna M. 3 Díaz Martín, Juan Carlos 3 Elkadi, Mohamed 3 Favati, Paola 3 García Zapata, Juan-Luis 3 Grandoni, Fabrizio 3 Gupta, Dharmendra Kumar 3 Huang, Xiaohan 3 Ivanov, Stoil I. 3 Ivanyos, Gábor 3 Ivolgin, Dmitriy ...and 1,168 more Authors all top 5 Cited in 203 Serials 81 Linear Algebra and its Applications 72 Journal of Symbolic Computation 63 Computers & Mathematics with Applications 57 Theoretical Computer Science 51 Journal of Computational and Applied Mathematics 37 Journal of Complexity 29 Mathematics of Computation 27 Applied Mathematics and Computation 24 Numerical Algorithms 22 Information Processing Letters 19 SIAM Journal on Matrix Analysis and Applications 16 Algorithmica 14 Calcolo 12 Foundations of Computational Mathematics 10 Numerische Mathematik 10 International Journal of Computer Mathematics 10 SIAM Journal on Scientific Computing 9 Applicable Algebra in Engineering, Communication and Computing 8 Journal of Computer and System Sciences 8 Applied Numerical Mathematics 7 Discrete Applied Mathematics 6 Journal of Computational Physics 6 Linear and Multilinear Algebra 6 Computer Aided Geometric Design 6 Applied Mathematics Letters 6 Numerical Linear Algebra with Applications 5 Automatica 5 Journal of Algebra 5 Information and Computation 5 SIAM Review 4 BIT 4 Computing 4 Computational Complexity 4 Theory of Computing Systems 4 Journal of Systems Science and Complexity 4 Mediterranean Journal of Mathematics 4 Mathematics in Computer Science 3 Journal of the Franklin Institute 3 International Journal of Mathematics and Mathematical Sciences 3 Journal of Pure and Applied Algebra 3 SIAM Journal on Computing 3 Advances in Applied Mathematics 3 Computational Geometry 3 Mathematical Programming. 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Part A 2 SIAM Journal on Optimization 2 Journal of Mathematical Sciences (New York) 2 Turkish Journal of Mathematics 2 ETNA. Electronic Transactions on Numerical Analysis 2 INFORMS Journal on Computing 2 Doklady Mathematics 2 Abstract and Applied Analysis 2 Chaos 2 Discrete Dynamics in Nature and Society 2 Computational Methods in Applied Mathematics 2 Journal of Applied Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Quantum Information Processing 2 Afrika Matematika 2 Mathematics 1 Acta Informatica 1 American Mathematical Monthly 1 Classical and Quantum Gravity 1 Communications in Mathematical Physics 1 Discrete Mathematics 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Lithuanian Mathematical Journal ...and 103 more Serials all top 5 Cited in 52 Fields 562 Numerical analysis (65-XX) 344 Computer science (68-XX) 230 Linear and multilinear algebra; matrix theory (15-XX) 116 Field theory and polynomials (12-XX) 71 Commutative algebra (13-XX) 61 Number theory (11-XX) 60 Real functions (26-XX) 59 Functions of a complex variable (30-XX) 58 Algebraic geometry (14-XX) 49 Combinatorics (05-XX) 48 Operations research, mathematical programming (90-XX) 40 Information and communication theory, circuits (94-XX) 21 Probability theory and stochastic processes (60-XX) 21 Systems theory; control (93-XX) 16 Operator theory (47-XX) 15 Partial differential equations (35-XX) 13 Approximations and expansions (41-XX) 13 Statistics (62-XX) 12 Mathematical logic and foundations (03-XX) 10 Associative rings and algebras (16-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Ordinary differential equations (34-XX) 9 Quantum theory (81-XX) 8 Special functions (33-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Convex and discrete geometry (52-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Integral equations (45-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Topological groups, Lie groups (22-XX) 3 Difference and functional equations (39-XX) 3 Biology and other natural sciences (92-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Group theory and generalizations (20-XX) 2 Integral transforms, operational calculus (44-XX) 2 Algebraic topology (55-XX) 2 Mechanics of particles and systems (70-XX) 2 Fluid mechanics (76-XX) 2 Optics, electromagnetic theory (78-XX) 2 Mathematics education (97-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Nonassociative rings and algebras (17-XX) 1 Measure and integration (28-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Mechanics of deformable solids (74-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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