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Pan, Victor Yakovlevich

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Author ID: pan.victor-ya Recent zbMATH articles by "Pan, Victor Yakovlevich"
Published as: Pan, V.; Pan, V. J.; Pan, V. Ja.; Pan, V. Y.; Pan, V. Ya.; Pan, Victor; Pan, Victor Y.; Pan, Victor Ya.
Homepage: http://comet.lehman.cuny.edu/vpan/
External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND
Documents Indexed: 248 Publications since 1958, including 3 Books

Publications by Year

Citations contained in zbMATH

199 Publications have been cited 1,751 times in 806 Documents Cited by Year
Polynomial and matrix computations. Fundamental algorithms. Vol. 1. Zbl 0809.65012
Bini, Dario; Pan, Victor Y.
158
1994
Solving a polynomial equation: Some history and recent progress. Zbl 0873.65050
Pan, Victor Y.
99
1997
Structured matrices and polynomials. Unified superfast algorithms. Zbl 0996.65028
Pan, Victor Y.
82
2001
Univariate polynomials: Nearly optimal algorithms for numerical factorization and root-finding. Zbl 1004.65061
Pan, Victor Y.
51
2002
How to multiply matrices faster. Zbl 0548.65022
Pan, Victor
50
1984
An improved Newton iteration for the generalized inverse of a matrix, with applications. Zbl 0733.65023
Pan, Victor; Schreiber, Robert
47
1991
Fast rectangular matrix multiplication and applications. Zbl 0919.65030
Huang, Xiaohan; Pan, Victor Y.
45
1998
Fast and stable QR eigenvalue algorithms for generalized companion matrices and secular equations. Zbl 1072.65068
Bini, Dario A.; Gemignani, Luca; Pan, Victor Y.
35
2005
On computations with dense structured matrices. Zbl 0703.47022
Pan, Victor
35
1990
Multivariate polynomials, duality, and structured matrices. Zbl 0963.68232
Mourrain, Bernard; Pan, Victor Y.
33
2000
Computation of approximate polynomial GCDs and an extension. Zbl 1005.12004
Pan, Victor Y.
30
2001
Optimal and nearly optimal algorithms for approximating polynomial zeros. Zbl 0859.65045
Pan, V. Y.
30
1996
Inverse power and Durand-Kerner iterations for univariate polynomial root-finding. Zbl 1054.65046
Bini, D. A.; Gemignani, L.; Pan, V. Y.
27
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
21
1992
How bad are Vandermonde matrices? Zbl 1382.15008
Pan, Victor Y.
20
2016
Complexity of parallel matrix computations. Zbl 0641.68058
Pan, Victor
19
1987
How can we speed up matrix multiplication? Zbl 0563.65028
Pan, Victor
19
1984
Approximating complex polynomial zeros: modified Weyl’s quadtree construction and improved Newton’s iteration. Zbl 1041.65043
Pan, Victor Y.
17
2000
Optimal (up to polylog factors) sequential and parallel algorithms for approximating complex polynomial zeros. Zbl 0942.68796
Pan, Victor Y.
17
1995
Sequential and parallel complexity of approximate evaluation of polynomial zeros. Zbl 0634.65036
Pan, V.
17
1987
The complexity of the matrix eigenproblem. Zbl 1346.68103
Pan, Victor Y.; Chen, Zhao Q.
16
1999
Improved parallel computations with Toeplitz-like and Hankel-like matrices. Zbl 0776.65022
Bini, Dario; Pan, Victor
16
1993
New fast algorithms for matrix operations. Zbl 0446.68034
Pan, V. Ya.
16
1980
Symbolic and numeric methods for exploiting structure in constructing resultant matrices. Zbl 1017.65049
Emiris, Ioannis Z.; Pan, Victor Y.
15
2002
Improved initialization of the accelerated and robust QR-like polynomial root-finding. Zbl 1065.65065
Bini, Dario A.; Gemignani, Luca; Pan, Victor Y.
14
2004
Structured matrices and Newton’s iteration: unified approach. Zbl 0998.65039
Pan, Victor Y.; Rami, Youssef; Wang, Xinmao
14
2002
On the Boolean complexity of real root refinement. Zbl 1360.65140
Pan, Victor Y.; Tsigaridas, Elias P.
12
2013
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
12
2008
Improved algorithms for computing determinants and resultants. Zbl 1101.68981
Emiris, Ioannis Z.; Pan, Victor Y.
12
2005
New combinations of methods for the acceleration of matrix multiplication. Zbl 0465.68019
Pan, V. Ya.
12
1981
Transformations of matrix structures work again. Zbl 1310.15006
Pan, Victor Y.
11
2015
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.
11
2008
The structure of sparse resultant matrices. Zbl 0916.65046
Emiris, Ioannis Z.; Pan, Victor Y.
11
1997
Solving special polynomial systems by using structured matrices and algebraic residues. Zbl 0922.65044
Mourrain, Bernard; Pan, Victor Y.
11
1997
Parallel solution of Toeplitzlike linear systems. Zbl 0753.65022
Pan, Victor
11
1992
On practical algorithms for accelerated matrix multiplication. Zbl 0748.65043
Laderman, Julian; Pan, Victor; Sha, Xuan-He
11
1992
Parallel complexity of tridiagonal symmetric eigenvalue problem. Zbl 0800.68501
Bini, Dario; Pan, Victor
11
1991
Improved processor bounds for combinatorial problems in RNC. Zbl 0685.68048
Galil, Z.; Pan, V.
11
1988
Efficient polynomial root-refiners: a survey and new record efficiency estimates. Zbl 1238.65044
McNamee, J. M.; Pan, Victor Y.
10
2012
Randomized preprocessing of homogeneous linear systems of equations. Zbl 1202.65038
Pan, Victor Y.; Qian, Guoliang
10
2010
Additive preconditioning for matrix computations. Zbl 1191.65024
Pan, Victor Y.; Ivolgin, Dmitriy; Murphy, Brian; Rosholt, Rhys Eric; Tang, Yuqing; Yan, Xiaodong
10
2010
Additive preconditioning, eigenspaces, and the inverse iteration. Zbl 1159.65043
Pan, Victor Y.; Yan, Xiaodong
10
2009
Root-finding with eigen-solving. Zbl 1117.65068
Pan, Victor Y.; Ivolgin, Dmitriy; Murphy, Brian; Rosholt, Rhys Eric; Tang, Yuqing; Wang, Xinmao; Yan, Xiaodong
10
2007
Inversion of displacement operators. Zbl 1056.47015
Pan, Victor Y.; Wang, Xinmao
10
2003
Decreasing the displacement rank of a matrix. Zbl 0772.15012
Pan, Victor
10
1993
Parametrization of Newton’s iteration for computations with structured matrices and applications. Zbl 0772.65013
Pan, Victor
10
1992
Efficient algorithms for the evaluation of the eigenvalues of (block) banded Toeplitz matrices. Zbl 0646.65035
Bini, D.; Pan, V.
10
1988
Methods of computing values of polynomials. Zbl 0173.17802
Pan, V. J.
10
1966
Randomized preprocessing versus pivoting. Zbl 1261.65030
Pan, Victor Y.; Qian, Guoliang; Zheng, Ai-Long
9
2013
Univariate polynomials, nearly optimal algorithms for factorization and rootfinding. Zbl 1356.65125
Pan, Victor Y.
9
2001
Certification of numerical computation of the sign of the determinant of a matrix. Zbl 1004.65058
Pan, V. Y.; Yu, Y.
9
2001
Simple multivariate polynomial multiplication. Zbl 0831.12004
Pan, Victor Y.
9
1994
Fast and efficient parallel solution of sparse linear systems. Zbl 0790.65018
Pan, Victor; Reif, John
9
1993
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
Fast and efficient parallel solution of dense linear systems. Zbl 0684.65024
Pan, V.; Reif, J.
9
1989
Nearly optimal refinement of real roots of a univariate polynomial. Zbl 1329.65096
Pan, Victor Y.; Tsigaridas, Elias P.
8
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
8
2015
New progress in real and complex polynomial root-finding. Zbl 1217.65087
Pan, Victor Y.; Zheng, Ai-Long
8
2011
Newton-like iteration based on a cubic polynomial for structured matrices. Zbl 1068.65050
Codevico, Gianni; Pan, Victor Y.; Van Barel, Marc
8
2004
New techniques for the computation of linear recurrence coefficients. Zbl 0978.65130
Pan, Victor Y.
8
2000
Sign determination in residue number systems. Zbl 0912.68083
Brönnimann, Hervé; Emiris, Ioannis Z.; Pan, Victor Y.; Pion, Sylvain
8
1999
Parallel computation of polynomial GCD and some related parallel computations over abstract fields. Zbl 0874.12010
Pan, Victor Y.
8
1996
A new approach to fast polynomial interpolation and multipoint evaluation. Zbl 0772.65005
Pan, Victor; Sadikou, Akimou; Landowne, Elliott; Tiga, Olen
8
1993
Algebraic complexity of computing polynomial zeros. Zbl 0632.65052
Pan, V.
8
1987
Additive preconditioning for matrix computations. Zbl 1142.68607
Pan, Victor Y.; Ivolgin, Dmitriy; Murphy, Brian; Rosholt, Rhys Eric; Tang, Yuqing; Yan, Xiaodong
7
2008
Homotopic residual correction processes. Zbl 1084.65034
Pan, V. Y.; Kunin, M.; Rosholt, R. E.; Kodal, H.
7
2006
The amended DSeSC power method for polynomial root-finding. Zbl 1077.65049
Pan, V. Y.
7
2005
Iterative inversion of structured matrices. Zbl 1059.65032
Pan, Victor Y.; Van Barel, Marc; Wang, Xinmao; Codevico, Gianni
7
2004
Acceleration of Euclidean algorithm and rational number reconstruction. Zbl 1031.68149
Wang, Xinmao; Pan, Victor Y.
7
2003
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
Superfast algorithms for Cauchy-like matrix computations and extensions. Zbl 0971.65024
Pan, Victor Y.; Zheng, Ailong
7
2000
Nearly optimal computations with structured matrices. Zbl 0953.65030
Pan, Victor Y.
7
2000
Asymptotic acceleration of solving multivariate polynomial systems of equations. Zbl 1028.68216
Mourrain, Bernard; Pan, Victor Y.
7
1998
Computing matrix eigenvalues and polynomial zeros where the output is real. Zbl 0911.68050
Bini, Dario; Pan, Victor Y.
7
1998
Fast and efficient solution of path algebra problems. Zbl 0682.68055
Pan, Victor; Reif, John
7
1989
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
6
2011
Newton’s iteration for matrix inversion, advances and extensions. Zbl 1215.65063
Pan, Victor Y.
6
2010
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
Fast and efficient parallel evaluation of the zeros of a polynomial having only real zeros. Zbl 0682.65023
Pan, V.
6
1989
Computing the determinant and the characteristic polynomial of a matrix via solving linear systems of equations. Zbl 0662.65039
Pan, Victor
6
1988
Trilinear aggregating with implicit canceling for a new acceleration of matrix multiplication. Zbl 0474.65024
Pan, V. Ya.
6
1982
The bit-operation complexity of matrix multiplication and of all pair shortest path problem. Zbl 0462.68019
Pan, V. Ya.
6
1981
Accelerated approximation of the complex roots and factors of a univariate polynomial. Zbl 1375.65066
Pan, Victor Y.; Tsigaridas, Elias
5
2017
Modular arithmetic for linear algebra computations in the real field. Zbl 0911.65035
Emiris, Ioannis Z.; Pan, Victor Y.; Yu, Yanqiang
5
1998
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
Practical improvement of the divide-and-conquer eigenvalue algorithms. Zbl 0756.65053
Bini, D.; Pan, V.
5
1992
Fast evaluation and interpolation at the Chebyshev sets of points. Zbl 0705.65007
Pan, Victor
5
1989
Fast and efficient linear programming and linear least-squares computations. Zbl 0625.90053
Pan, V.; Reif, J.
5
1986
An efficient computation of generalized inverse of a matrix. Zbl 1426.65040
Pan, V. Y.; Soleymani, F.; Zhao, L.
4
2018
Estimating the norms of random circulant and Toeplitz matrices and their inverses. Zbl 1307.15057
Pan, Victor Y.; Svadlenka, John; Zhao, Liang
4
2015
Controlled iterative methods for solving polynomial systems. Zbl 0924.65043
Bondyfalat, Didier; Mourrain, Bernard; Pan, Victor Y.
4
1998
New fast algorithms for polynomial interpolation and evaluation on the Chebyshev node set. Zbl 0914.65002
Pan, V. Y.
4
1998
Algebraic and numerical techniques for the computation of matrix determinants. Zbl 0885.65052
Pan, V. Y.; Yu, Y.; Stewart, C.
4
1997
Newton’s iteration for inversion of Cauchy-like and other structured matrices. Zbl 0882.65016
Pan, Victor Y.; Zheng, Ailong; Huang, Xiaohan; Dias, Olen
4
1997
Deterministic improvement of complex polynomial factorization based on the properties of the associated resultant. Zbl 0839.68033
Pan, V. Y.
4
1995
Parallel computations with Toeplitz-like and Hankel-like matrices. Zbl 0920.65011
Bini, Dario; Pan, Victor
4
1993
An efficient computation of generalized inverse of a matrix. Zbl 1426.65040
Pan, V. Y.; Soleymani, F.; Zhao, L.
4
2018
Accelerated approximation of the complex roots and factors of a univariate polynomial. Zbl 1375.65066
Pan, Victor Y.; Tsigaridas, Elias
5
2017
Nearly optimal computations with structured matrices. Zbl 1375.65047
Pan, Victor Y.; Tsigaridas, Elias P.
3
2017
Fast matrix multiplication and its algebraic neighbourhood. Zbl 06856672
Pan, Victor Ya.
2
2017
Fast approximate computations with Cauchy matrices and polynomials. Zbl 1392.65122
Pan, Victor Y.
2
2017
Numerically safe Gaussian elimination with no pivoting. Zbl 1365.15008
Pan, Victor Y.; Zhao, Liang
1
2017
New studies of randomized augmentation and additive preprocessing. Zbl 1353.65033
Pan, Victor Y.; Zhao, Liang
1
2017
How bad are Vandermonde matrices? Zbl 1382.15008
Pan, Victor Y.
20
2016
Nearly optimal refinement of real roots of a univariate polynomial. Zbl 1329.65096
Pan, Victor Y.; Tsigaridas, Elias P.
8
2016
Low-rank approximation of a matrix: novel insights, new progress, and extensions. Zbl 06605939
Pan, Victor Y.; Zhao, Liang
3
2016
Transformations of matrix structures work again. Zbl 1310.15006
Pan, Victor Y.
11
2015
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
8
2015
Estimating the norms of random circulant and Toeplitz matrices and their inverses. Zbl 1307.15057
Pan, Victor Y.; Svadlenka, John; Zhao, Liang
4
2015
Polynomial real root isolation by means of root radii approximation. Zbl 1434.65066
Pan, Victor Y.; Zhao, Liang
1
2015
Accelerated approximation of the complex roots of a univariate polynomial. Zbl 1345.65034
Pan, Victor Y.; Tsigaridas, Elias P.
3
2014
Nearly optimal computations with structured matrices. Zbl 1346.68297
Pan, Victor Y.; Tsigaridas, Elias P.
3
2014
Fast approximate computations with Cauchy matrices, polynomials and rational functions. Zbl 1392.65121
Pan, Victor Y.
3
2014
A note on global Newton iteration over Archimedean and non-Archimedean fields. Zbl 1416.68221
Hauenstein, Jonathan D.; Pan, Victor Y.; Szanto, Agnes
2
2014
Real polynomial root-finding by means of matrix and polynomial iterations. Zbl 1417.65129
Pan, Victor Y.
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
8
2011
Matrix computations and polynomial root-finding with preprocessing. Zbl 1410.65081
Pan, Victor Y.; Qian, Guoliang; Zheng, Ai-Long; Chen, Zhao
6
2011
Root-finding by expansion with independent constraints. Zbl 1232.65074
Pan, Victor Y.; Zheng, Ai-Long
3
2011
Randomized preconditioning of the MBA algorithm. Zbl 1323.68621
Pan, Victor Y.; Qian, Guoliang; Zheng, Ai-Long
2
2011
Nearly optimal solution of rational linear systems of equations with symbolic lifting and numerical initialization. Zbl 1231.15004
Pan, Victor Y.
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
10
2010
Additive preconditioning for matrix computations. Zbl 1191.65024
Pan, Victor Y.; Ivolgin, Dmitriy; Murphy, Brian; Rosholt, Rhys Eric; Tang, Yuqing; Yan, Xiaodong
10
2010
Newton’s iteration for matrix inversion, advances and extensions. Zbl 1215.65063
Pan, Victor Y.
6
2010
Real and complex polynomial root-finding with eigen-solving and preprocessing. Zbl 1321.65079
Pan, Victor Y.; Zheng, Ai-Long
2
2010
Root-squaring with DPR1 matrices. Zbl 1288.65062
Pan, V. Y.
2
2010
Unified nearly optimal algorithms for structured integer matrices. Zbl 1203.65068
Pan, Victor Y.; Murphy, Brian J.; Rosholt, Rhys Eric
2
2010
Advancing matrix computations with randomized preprocessing. Zbl 1284.65061
Pan, Victor Y.; Qian, Guoliang; 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.
2
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
12
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.
11
2008
Additive preconditioning for matrix computations. Zbl 1142.68607
Pan, Victor Y.; Ivolgin, Dmitriy; Murphy, Brian; Rosholt, Rhys Eric; Tang, Yuqing; Yan, Xiaodong
7
2008
Degeneration of structured integer matrices modulo an integer. Zbl 1155.65025
Pan, Victor Y.; Wang, Xinmao
3
2008
Fast rectangular matrix multiplication and some applications. Zbl 1151.68428
Ke, ShanXue; Zeng, BenSheng; Han, WenBao; Pan, Victor Y.
2
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
10
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.
7
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.
35
2005
Improved algorithms for computing determinants and resultants. Zbl 1101.68981
Emiris, Ioannis Z.; Pan, Victor Y.
12
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.
27
2004
Improved initialization of the accelerated and robust QR-like polynomial root-finding. Zbl 1065.65065
Bini, Dario A.; Gemignani, Luca; Pan, Victor Y.
14
2004
Newton-like iteration based on a cubic polynomial for structured matrices. Zbl 1068.65050
Codevico, Gianni; Pan, Victor Y.; Van Barel, Marc
8
2004
Iterative inversion of structured matrices. Zbl 1059.65032
Pan, Victor Y.; Van Barel, Marc; Wang, Xinmao; Codevico, Gianni
7
2004
On theoretical and practical acceleration of randomized computation of the determinant of an integer matrix. Zbl 1075.65066
Pan, V. Y.
2
2004
On rational number reconstruction and approximation. Zbl 1101.68997
Pan, Victor Y.; Wang, Xinmao
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.
7
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.
51
2002
Symbolic and numeric methods for exploiting structure in constructing resultant matrices. Zbl 1017.65049
Emiris, Ioannis Z.; Pan, Victor Y.
15
2002
Structured matrices and Newton’s iteration: unified approach. Zbl 0998.65039
Pan, Victor Y.; Rami, Youssef; Wang, Xinmao
14
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.
82
2001
Computation of approximate polynomial GCDs and an extension. Zbl 1005.12004
Pan, Victor Y.
30
2001
Univariate polynomials, nearly optimal algorithms for factorization and rootfinding. Zbl 1356.65125
Pan, Victor Y.
9
2001
Certification of numerical computation of the sign of the determinant of a matrix. Zbl 1004.65058
Pan, V. Y.; Yu, Y.
9
2001
A new proximity test for polynomial zeros. Zbl 0984.65045
Pan, V. Y.
2
2001
A homotopic residual residual correction process. Zbl 0979.65034
Pan, V. Y.
2
2001
Multivariate polynomials, duality, and structured matrices. Zbl 0963.68232
Mourrain, Bernard; Pan, Victor Y.
33
2000
Approximating complex polynomial zeros: modified Weyl’s quadtree construction and improved Newton’s iteration. Zbl 1041.65043
Pan, Victor Y.
17
2000
New techniques for the computation of linear recurrence coefficients. Zbl 0978.65130
Pan, Victor Y.
8
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
Superfast algorithms for Cauchy-like matrix computations and extensions. Zbl 0971.65024
Pan, Victor Y.; Zheng, Ailong
7
2000
Nearly optimal computations with structured matrices. Zbl 0953.65030
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.
16
1999
Sign determination in residue number systems. Zbl 0912.68083
Brönnimann, Hervé; Emiris, Ioannis Z.; Pan, Victor Y.; Pion, Sylvain
8
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
Faster solution of the key equation for decoding BCH error-correcting codes. Zbl 0962.68061
Pan, Victor Y.
3
1999
Polynomial and rational evaluation and interpolation (with structured matrices). Zbl 0937.65010
Olshevsky, Vadim; Pan, Victor Y.
3
1999
Approximate real polynomial division via approximate inversion of real triangular Toeplitz matrices. Zbl 0939.65026
Pan, V. Y.; Chen, Z. Q.
3
1999
Bisection acceleration for the symmetric tridiagonal eigenvalue problem. Zbl 0947.65043
Pan, Victor Y.; Linzer, Elliott
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.
45
1998
Asymptotic acceleration of solving multivariate polynomial systems of equations. Zbl 1028.68216
Mourrain, Bernard; Pan, Victor Y.
7
1998
Computing matrix eigenvalues and polynomial zeros where the output is real. Zbl 0911.68050
Bini, Dario; Pan, Victor Y.
7
1998
Modular arithmetic for linear algebra computations in the real field. Zbl 0911.65035
Emiris, Ioannis Z.; Pan, Victor Y.; Yu, Yanqiang
5
1998
Controlled iterative methods for solving polynomial systems. Zbl 0924.65043
Bondyfalat, Didier; Mourrain, Bernard; Pan, Victor Y.
4
1998
New fast algorithms for polynomial interpolation and evaluation on the Chebyshev node set. Zbl 0914.65002
Pan, V. Y.
4
1998
Approximate polynomial Gcds, Padé approximation, polynomial zeros and bipartite graphs. Zbl 0930.68175
Pan, Victor Y.
3
1998
New transformations of Cauchy matrices and Trummer’s problem. Zbl 0999.65024
Pan, V. Y.; Tabanjeh, M. A.; Chen, Z. Q.; Landowne, E. I.; Sadikou, A.
2
1998
Solving a polynomial equation: Some history and recent progress. Zbl 0873.65050
Pan, Victor Y.
99
1997
...and 99 more Documents
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Cited by 1,021 Authors

114 Pan, Victor Yakovlevich
29 Bini, Dario Andrea
22 Gemignani, Luca
18 Van Barel, Marc
14 Mourrain, Bernard
14 Tsigaridas, Elias P.
13 Schost, Éric
13 van der Hoeven, Joris
12 Emiris, Ioannis Z.
12 Reif, John H.
11 Lingas, Andrzej
11 Soleymani, Fazlollah
10 Rost, Karla
10 Stanimirović, Predrag S.
9 Heinig, Georg
9 Lecerf, Grégoire
9 Sagraloff, Michael
8 Bostan, Alin
8 Díaz-Toca, Gema María
8 Vandebril, Raf
7 Gonzalez-Vega, Laureano
7 Kalantari, Bahman
7 Meini, Beatrice
7 Olshevsky, Vadim
7 Rosholt, Rhys Eric
7 Zheng, Ailong
6 Chèze, Guillaume
6 Codenotti, Bruno
6 Di Fiore, Carmine
6 Mastronardi, Nicola
6 Murphy, Brian J.
6 Petković, Miodrag S.
6 Qian, Guoliang
6 Zellini, Paolo
5 Belhaj, Skander
5 Bevilacqua, Roberto
5 Delvaux, Steven
5 Eidelman, Yuli
5 Gohberg, Israel
5 Kowaluk, Mirosław
5 Minimair, Manfred
5 Ng, Michael Kwok-Po
5 Rojas, J. Maurice
5 Salvy, Bruno
5 Srivastava, Shwetabh
5 Storjohann, Arne
5 Wang, Xinmao
5 Wei, Yimin
5 Winkler, Joab R.
5 Xia, Jianlin
5 Yan, Xiaodong
4 Batra, Prashant
4 Boyd, John Philip
4 Galligo, André
4 Kailath, Thomas
4 Kaltofen, Erich L.
4 Mandel, Jan
4 Marco García, Ana
4 Martínez, José-Javier
4 Miranker, Willard Lee
4 Oseledets, Ivan V.
4 Pérez-Díaz, Sonia
4 Sankowski, Piotr
4 Sendra, Juan Rafael
4 Sendra, Juana
4 Serra-Capizzano, Stefano
4 Szántó, Ágnes
4 Tang, Yuqing
4 Tyrtyshnikov, Evgeniĭ Evgen’evich
4 Yuan, Chunming
3 Beckermann, Bernhard
3 Bella, Tom
3 Beltrán, Carlos
3 Burr, Michael A.
3 Coxon, Nicholas
3 Del Corso, Gianna M.
3 Díaz Martín, Juan Carlos
3 Elkadi, Mohamed
3 Favati, Paola
3 García Zapata, Juan-Luis
3 Gupta, Dharmendra Kumar
3 Huang, Rong
3 Huang, Xiaohan
3 Ivanov, Stoil I.
3 Ivanyos, Gábor
3 Jeronimo, Gabriela
3 Kao, Ming-Yang
3 Katsikis, Vasilios N.
3 Kravanja, Peter
3 Landowne, Elliott
3 Li, Wei
3 Lombardi, Henri
3 Lotti, Grazia
3 Malajovich, Gregorio
3 Markovsky, Ivan
3 Matera, Guillermo
3 Mehlhorn, Kurt
3 Miller, Gary Lee
3 Noferini, Vanni
3 Petković, Marko D.
...and 921 more Authors
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Cited in 161 Serials

89 Linear Algebra and its Applications
69 Journal of Symbolic Computation
62 Computers & Mathematics with Applications
56 Theoretical Computer Science
49 Journal of Computational and Applied Mathematics
38 Journal of Complexity
27 Mathematics of Computation
26 Applied Mathematics and Computation
23 Information Processing Letters
20 Numerical Algorithms
14 Calcolo
13 Algorithmica
11 Numerische Mathematik
11 SIAM Journal on Matrix Analysis and Applications
10 Foundations of Computational Mathematics
9 International Journal of Computer Mathematics
8 Journal of Computer and System Sciences
8 Applicable Algebra in Engineering, Communication and Computing
7 Discrete Applied Mathematics
6 Computer Aided Geometric Design
6 Applied Numerical Mathematics
6 Applied Mathematics Letters
6 SIAM Journal on Scientific Computing
6 Numerical Linear Algebra with Applications
5 Journal of Algebra
4 Automatica
4 BIT
4 Computing
4 Computational Complexity
4 Journal of Systems Science and Complexity
4 Mediterranean Journal of Mathematics
3 Journal of Computational Physics
3 Journal of Pure and Applied Algebra
3 Advances in Applied Mathematics
3 Information and Computation
3 Mathematical and Computer Modelling
3 Computational Geometry
3 Mathematical Programming. Series A. Series B
3 Applied and Computational Harmonic Analysis
3 Parallel Algorithms and Applications
3 Mathematics in Computer Science
3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
3 Special Matrices
2 Linear and Multilinear Algebra
2 Information Sciences
2 International Journal of Mathematics and Mathematical Sciences
2 Journal of Soviet Mathematics
2 Mathematics and Computers in Simulation
2 SIAM Journal on Computing
2 Operations Research Letters
2 Signal Processing
2 Neural Computation
2 Discrete Mathematics and Applications
2 European Journal of Operational Research
2 SIAM Review
2 Computers and Mathematics with Applications. Part A
2 Journal of Mathematical Sciences (New York)
2 INFORMS Journal on Computing
2 Doklady Mathematics
2 Theory of Computing Systems
2 Abstract and Applied Analysis
2 Chaos
2 Discrete Dynamics in Nature and Society
2 Journal of Applied Mathematics
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Journal of Applied Mathematics and Computing
2 Journal of Physics A: Mathematical and Theoretical
2 Afrika Matematika
2 Mathematics
1 Communications in Mathematical Physics
1 Computer Methods in Applied Mechanics and Engineering
1 Discrete Mathematics
1 International Journal of Control
1 Journal of the Franklin Institute
1 Journal of Mathematical Analysis and Applications
1 Journal of Mathematical Physics
1 Mathematical Notes
1 Nonlinearity
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 The Mathematical Intelligencer
1 Archiv der Mathematik
1 Integral Equations and Operator Theory
1 Journal of the American Statistical Association
1 Mathematics of Operations Research
1 Numerical Functional Analysis and Optimization
1 Proceedings of the American Mathematical Society
1 Programming and Computer Software
1 Quaestiones Mathematicae
1 Results in Mathematics
1 Semigroup Forum
1 SIAM Journal on Numerical Analysis
1 Transactions of the American Mathematical Society
1 Systems & Control Letters
1 SIAM Journal on Algebraic and Discrete Methods
1 Combinatorica
1 Computers & Operations Research
1 Computational Mechanics
1 International Journal of Approximate Reasoning
1 Journal of the American Mathematical Society
1 Journal of Scientific Computing
...and 61 more Serials
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Cited in 47 Fields

499 Numerical analysis (65-XX)
265 Computer science (68-XX)
188 Linear and multilinear algebra; matrix theory (15-XX)
115 Field theory and polynomials (12-XX)
65 Commutative algebra (13-XX)
57 Real functions (26-XX)
57 Functions of a complex variable (30-XX)
53 Number theory (11-XX)
41 Algebraic geometry (14-XX)
37 Operations research, mathematical programming (90-XX)
35 Combinatorics (05-XX)
28 Information and communication theory, circuits (94-XX)
17 Systems theory; control (93-XX)
16 Probability theory and stochastic processes (60-XX)
14 Operator theory (47-XX)
12 Partial differential equations (35-XX)
11 Approximations and expansions (41-XX)
8 Associative rings and algebras (16-XX)
8 Special functions (33-XX)
8 Ordinary differential equations (34-XX)
6 Mathematical logic and foundations (03-XX)
6 Dynamical systems and ergodic theory (37-XX)
6 Statistics (62-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
5 Convex and discrete geometry (52-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
4 Quantum theory (81-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Difference and functional equations (39-XX)
3 Integral equations (45-XX)
3 Biology and other natural sciences (92-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Topological groups, Lie groups (22-XX)
2 Integral transforms, operational calculus (44-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 Group theory and generalizations (20-XX)
1 Measure and integration (28-XX)
1 Sequences, series, summability (40-XX)
1 Abstract harmonic analysis (43-XX)
1 Differential geometry (53-XX)
1 Mechanics of particles and systems (70-XX)
1 Mechanics of deformable solids (74-XX)
1 Fluid mechanics (76-XX)
1 Statistical mechanics, structure of matter (82-XX)

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