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1
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0031169815
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Solving a polynomial equation: Some history and recent progress
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V.Y. Pan Solving a polynomial equation: Some history and recent progress SIAM Review 39 2 1997 187 220
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(1997)
SIAM Review
, vol.39
, Issue.2
, pp. 187-220
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Pan, V.Y.1
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2
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0000692349
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Multivariate polynomials, duality and structured matrices
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B. Mourrain, and V.Y. Pan Multivariate polynomials, duality and structured matrices J. of Complexity 16 1 2000 110 180
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(2000)
J. of Complexity
, vol.16
, Issue.1
, pp. 110-180
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Mourrain, B.1
Pan, V.Y.2
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3
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0027667665
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Bibliography on roots of polynomials
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J.M. McNamee Bibliography on roots of polynomials J. Comp. Appl. Math. 47 1993 391 394
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(1993)
J. Comp. Appl. Math.
, vol.47
, pp. 391-394
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McNamee, J.M.1
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4
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0002303990
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A supplementary bibliography on roots of polynomials
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http://www.elsevier.nl/homepage/sac/cam/mcnamee/index.html J.M. McNamee A supplementary bibliography on roots of polynomials J. Computational Applied Mathematics 78 1 1997
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(1997)
J. Computational Applied Mathematics
, vol.78
, Issue.1
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McNamee, J.M.1
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5
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0038832591
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A 2002 updated supplementary bibliography on roots of polynomials
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J.M. McNamee A 2002 updated supplementary bibliography on roots of polynomials J. Computational Applied Mathematics 110 2002 305 306
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(2002)
J. Computational Applied Mathematics
, vol.110
, pp. 305-306
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McNamee, J.M.1
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6
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1342342364
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A 2000 updated supplementary bibliography on roots of polynomials
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J.M. McNamee A 2000 updated supplementary bibliography on roots of polynomials J. Computational Applied Mathematics 142 2000 433 434
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(2000)
J. Computational Applied Mathematics
, vol.142
, pp. 433-434
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McNamee, J.M.1
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7
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23344445986
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Improved initialization of the accelerated and robust QR-like polynomial root-finding
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D.A. Bini, L. Gemignani, and V.Y. Pan Improved initialization of the accelerated and robust QR-like polynomial root-finding Electronic Transaction on Numerical Analysis 17 2004 195 205
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(2004)
Electronic Transaction on Numerical Analysis
, vol.17
, pp. 195-205
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Bini, D.A.1
Gemignani, L.2
Pan, V.Y.3
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8
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23344442422
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Preprint V.Y. Pan, B. Murphy, R.E. Rosholt, Y. Tang, X. Wang, and X. Yan Root-finding via eigen-solving 2005
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(2005)
Root-finding via Eigen-solving
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Pan, V.Y.1
Murphy, B.2
Rosholt, R.E.3
Tang, Y.4
Wang, X.5
Yan, X.6
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9
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0002333206
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Optimal (up to polylog factors) sequential and parallel algorithms for approximating complex polynomial zeros
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ACM Press New Delhi
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th Ann. ACM Symp. on Theory of Computing 1995 ACM Press New Delhi 741 750
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(1995)
th Ann. ACM Symp. on Theory of Computing
, pp. 741-750
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Pan, V.Y.1
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10
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0030168306
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Optimal and nearly optimal algorithms for approximating polynomial zeros
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V.Y. Pan Optimal and nearly optimal algorithms for approximating polynomial zeros Computers Math. Applic. 31 12 1996 97 138
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(1996)
Computers Math. Applic.
, vol.31
, Issue.12
, pp. 97-138
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Pan, V.Y.1
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11
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0036334966
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Univariate polynomials: Nearly optimal algorithms for factorization and rootfinding
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V.Y. Pan Univariate polynomials: Nearly optimal algorithms for factorization and rootfinding Journal of Symbolic Computations 33 5 2002 701 733
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(2002)
Journal of Symbolic Computations
, vol.33
, Issue.5
, pp. 701-733
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Pan, V.Y.1
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12
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23344448782
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Fast and stable QR eigenvalue algorithms for generalized companion matrices and secular equations
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Department of Math., University of Pisa New York
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(to appear); also, see Technical Report 1470 D.A. Bini, L. Gemignani, and V.Y. Pan Fast and stable QR eigenvalue algorithms for generalized companion matrices and secular equations July Numericshe Math. 2003 Department of Math., University of Pisa New York
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(2003)
Numericshe Math.
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Bini, D.A.1
Gemignani, L.2
Pan, V.Y.3
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14
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0001164080
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Sur une méthode d'approximation semblable a celle de Graeffe
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J. Sebastiao e Silva Sur une méthode d'approximation semblable a celle de Graeffe Portugal Math 2 1941 271 279
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(1941)
Portugal Math
, vol.2
, pp. 271-279
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Sebastiao, E.1
Silva, J.2
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15
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0001046726
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Generalization of an algorithm by Sebastiao e Silva
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A.S. Householder Generalization of an algorithm by Sebastiao e Silva Numerische Math 16 1971 375 382
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(1971)
Numerische Math
, vol.16
, pp. 375-382
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Householder, A.S.1
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17
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0006613092
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Lectures in Applied Mathematics, Volume 32, pp. 165-188, American Mathematical Society, Providence, RI, (1996).
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(1996)
Lectures in Applied Mathematics
, vol.32
, pp. 165-188
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18
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0004236492
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Third Edition Johns Hopkins University Press Providence, RI
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G.H. Golub, and C.F. Van Loan Matrix Computations Third Edition 1996 Johns Hopkins University Press Providence, RI
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(1996)
Matrix Computations
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Golub, G.H.1
Van Loan, C.F.2
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20
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1242307407
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Inverse power and Durand/Kerner iteration for univariate polynomial root-finding
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D.A. Bini, L. Gemignani, and V.Y. Pan Inverse power and Durand/Kerner iteration for univariate polynomial root-finding Computers Math. Applic. 47 2/3 2004 447 459
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(2004)
Computers Math. Applic.
, vol.47
, Issue.23
, pp. 447-459
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Bini, D.A.1
Gemignani, L.2
Pan, V.Y.3
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21
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0029190375
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The singular value decomposition for polynomial systems
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ACM Press Philadelphia, PA
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R.M. Corless, P.M. Gianni, B.M. Trager, and S.M. Watt The singular value decomposition for polynomial systems Proceedings of International Symposium on Symbolic and Algebraic Computation (ISSAC'95) 1995 ACM Press Philadelphia, PA 195 207
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(1995)
Proceedings of International Symposium on Symbolic and Algebraic Computation (ISSAC'95)
, pp. 195-207
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Corless, R.M.1
Gianni, P.M.2
Trager, B.M.3
Watt, S.M.4
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22
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0035878051
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Computation of approximate polynomial GCDs and an extension
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V.Y. Pan Computation of approximate polynomial GCDs and an extension Information and Computation 167 2001 71 85
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(2001)
Information and Computation
, vol.167
, pp. 71-85
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Pan, V.Y.1
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23
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0011936983
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The complexity of a scheme of functional elements realizing the multiplication of integers
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A.L. Toom The complexity of a scheme of functional elements realizing the multiplication of integers Soviet Mathematics Doklady 3 1963 714 715
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(1963)
Soviet Mathematics Doklady
, vol.3
, pp. 714-715
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Toom, A.L.1
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