Recursive Polynomial Remainder Sequence and the Nested Subresultants

Computer Algebra in Scientific Computing - Lecture Notes in Computer Science ◽

10.1007/11555964_38 ◽

2005 ◽

pp. 445-456

Author(s):

Akira Terui

Keyword(s):

Polynomial Remainder Sequence

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Very fast computation of polynomial remainder sequence coefficient signs

10.1145/1499799.1499931 ◽

1976 ◽

Author(s):

James R. Pinkert

Keyword(s):

Fast Computation ◽

Polynomial Remainder Sequence

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A Theory and an Algorithm for Computing Sparse Multivariate Polynomial Remainder Sequence

Developments in Language Theory - Lecture Notes in Computer Science ◽

10.1007/978-3-319-99639-4_24 ◽

2018 ◽

pp. 345-360 ◽

Cited By ~ 1

Author(s):

Tateaki Sasaki

Keyword(s):

Multivariate Polynomial ◽

Polynomial Remainder Sequence

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Fast Parallel Computation of the Polynomial Remainder Sequence via Bézout and Hankel Matrices

SIAM Journal on Computing ◽

10.1137/s0097539791201903 ◽

1995 ◽

Vol 24 (1) ◽

pp. 63-77 ◽

Cited By ~ 17

Author(s):

Dario Bini ◽

Luca Gemignani

Keyword(s):

Parallel Computation ◽

Hankel Matrices ◽

Polynomial Remainder Sequence

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Erratum: Fast Parallel Computation of the Polynomial Remainder Sequence via Bezout and Hankel Matrices

SIAM Journal on Computing ◽

10.1137/0225062 ◽

1996 ◽

Vol 25 (6) ◽

pp. 1358-1358 ◽

Cited By ~ 1

Author(s):

Dario Bini ◽

Luca Gemignani

Keyword(s):

Parallel Computation ◽

Hankel Matrices ◽

Polynomial Remainder Sequence

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Improvements of the Power-series Coefficient Polynomial Remainder Sequence GCD algorithm

Japan Journal of Industrial and Applied Mathematics ◽

10.1007/bf03167202 ◽

1993 ◽

Vol 10 (1) ◽

pp. 41-67

Author(s):

Masayuki Suzuki

Keyword(s):

Power Series ◽

Series Coefficient ◽

Polynomial Remainder Sequence

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Theory of multiple polynomial remainder sequence

Publications of the Research Institute for Mathematical Sciences ◽

10.2977/prims/1195181611 ◽

1984 ◽

Vol 20 (2) ◽

pp. 367-399 ◽

Cited By ~ 4

Author(s):

Tateaki Sasaki ◽

Akio Furukawa

Keyword(s):

Polynomial Remainder Sequence

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Recursive polynomial remainder sequence and its subresultants

Journal of Algebra ◽

10.1016/j.jalgebra.2007.12.023 ◽

2008 ◽

Vol 320 (2) ◽

pp. 633-659 ◽

Cited By ~ 1

Author(s):

Akira Terui

Keyword(s):

Polynomial Remainder Sequence

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Polynomial remainder sequence and approximate GCD

ACM SIGSAM Bulletin ◽

10.1145/271130.271131 ◽

1997 ◽

Vol 31 (3) ◽

pp. 4-10 ◽

Cited By ~ 8

Author(s):

Tateaki Sasaki ◽

Mutsuko Sasaki

Keyword(s):

Polynomial Remainder Sequence ◽

Approximate Gcd

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Multi polynomial remainder sequence and its application to linear diophantine equations

Lecture Notes in Computer Science - Computer Algebra ◽

10.1007/3-540-12868-9_88 ◽

1983 ◽

pp. 24-35

Author(s):

Akio Furukawa ◽

Tateaki Sasaki

Keyword(s):

Diophantine Equations ◽

Polynomial Remainder Sequence ◽

Linear Diophantine Equations

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Computing the polynomial remainder sequence via Bézout matrices

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2013.02.029 ◽

2013 ◽

Vol 250 ◽

pp. 244-255 ◽

Cited By ~ 2

Author(s):

Skander Belhaj

Keyword(s):

Polynomial Remainder Sequence

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