×

Pan, Victor Yakovlevich

Author ID: pan.victor-ya Recent zbMATH articles by "Pan, Victor Yakovlevich"
Published as: Pan, Victor Y.; Pan, Victor; Pan, V. Y.; Pan, V.; Pan, V. Ya.; Pan, Victor Ya.; Pan, V. J.; Pan, V. Ja.
Further Spellings: Пан, Виктор Яковлевич
Homepage: http://comet.lehman.cuny.edu/vpan/
External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef

Publications by Year

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 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. Series A. Series B
3 Applied and Computational Harmonic Analysis
3 Advances in Computational Mathematics
3 Parallel Algorithms and Applications
3 Journal of Applied Mathematics and Computing
3 Journal of Physics A: Mathematical and Theoretical
3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
3 ACM Transactions on Algorithms
3 Special Matrices
2 Computer Methods in Applied Mechanics and Engineering
2 Computer Physics Communications
2 International Journal of Control
2 Mathematical Notes
2 Nonlinearity
2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
2 Information Sciences
2 Journal of Soviet Mathematics
2 Mathematics and Computers in Simulation
2 Mathematics of Operations Research
2 Proceedings of the American Mathematical Society
2 Programming and Computer Software
2 Transactions of the American Mathematical Society
2 Operations Research Letters
2 Mathematical and Computer Modelling
2 Journal of Scientific Computing
2 Signal Processing
2 Annals of Operations Research
2 Neural Computation
2 International Journal of Computational Geometry & Applications
2 Discrete Mathematics and Applications
2 Designs, Codes and Cryptography
2 Computational Mathematics and Mathematical Physics
2 European Journal of Operational Research
2 Computers and Mathematics with Applications. 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

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.