Tateaki Sasaki

According to our database, Tateaki Sasaki authored at least 61 papers between 1978 and 2022.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2022

A Bridge between Euclid and Buchberger: (An Attempt to Enhance Gröbner Basis Algorithm by PRSs and GCDs).

Tateaki Sasaki

ACM Commun. Comput. Algebra, September, 2022

2021

Proposal of Multivariate Polynomial Arithmetic in a Specified Width of High- or Low-Exponents.

Tateaki Sasaki, Masaru Sanuki, Daiju Inaba

Proceedings of the 23rd International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, 2021

2019

An Attempt to Enhance Buchberger's Algorithm by Using Remainder Sequences and GCD Operation.

Tateaki Sasaki

Proceedings of the 21st International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, 2019

2018

Computing the Lowest-Order Element of a Multivariate Elimination Ideal by Using Remainder Sequences.

Tateaki Sasaki, Daiju Inaba

Proceedings of the 20th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, 2018

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

Tateaki Sasaki

Proceedings of the Computer Algebra in Scientific Computing - 20th International Workshop, 2018

2017

Enhancing the extended hensel construction by using Gröbner basis.

Tateaki Sasaki, Daiju Inaba

ACM Commun. Comput. Algebra, 2017

Simple Relation between the Lowest-Order Element of Ideal 〈G, H〉 and the Last Element of Polynomial Remainder Sequence.

Tateaki Sasaki, Daiju Inaba

Proceedings of the 19th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, 2017

2016

Memories on Professor Matu-tarow Noda.

Tateaki Sasaki, Hiroshi Kai

ACM Commun. Comput. Algebra, 2016

Various Enhancements for Extended Hensel Construction of Sparse Multivariate Polynomials.

Tateaki Sasaki, Daiju Inaba

Proceedings of the 18th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, 2016

Enhancing the Extended Hensel Construction by Using Gröbner Bases.

Tateaki Sasaki, Daiju Inaba

Proceedings of the Computer Algebra in Scientific Computing - 18th International Workshop, 2016

2015

Computation of GCD of Sparse Multivariate Polynomials by Extended Hensel Construction.

Masaru Sanuki, Daiju Inaba, Tateaki Sasaki

Proceedings of the 17th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, 2015

2014

Solving Parametric Sparse Linear Systems by Local Blocking.

Tateaki Sasaki, Daiju Inaba, Fujio Kako

ACM Commun. Comput. Algebra, 2014

Solving Parametric Sparse Linear Systems by Local Blocking, II.

Tateaki Sasaki

Proceedings of the 16th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, 2014

2013

On Algebraic Preprocessing of Floating-Point DAEs for Numerical Model Simulation.

Tateaki Sasaki, Tetsu Yamaguchi

Proceedings of the 15th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, 2013

Towards Industrial Application of Approximate Computer Algebra.

Tateaki Sasaki, Daiju Inaba, Fujio Kako

Proceedings of the Computer Algebra in Scientific Computing - 15th International Workshop, 2013

2012

Proposal of Singularization of Approximately Singular Polynomial Systems.

Tateaki Sasaki

Proceedings of the 14th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, 2012

Approximately Singular Systems and Ill-Conditioned Polynomial Systems.

Tateaki Sasaki, Daiju Inaba

Proceedings of the Computer Algebra in Scientific Computing - 14th International Workshop, 2012

2011

A Theory and an Algorithm of Approximate Gröbner Bases.

Tateaki Sasaki

Proceedings of the 13th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, 2011

A study of Hensel series in general case.

Tateaki Sasaki, Daiju Inaba

Proceedings of the SNC 2011, 2011

2010

Computing floating-point Gröbner bases accurately.

Tateaki Sasaki, Fujio Kako

ACM Commun. Comput. Algebra, 2010

Term Cancellations in Computing Floating-Point Gröbner Bases.

Tateaki Sasaki, Fujio Kako

Proceedings of the Computer Algebra in Scientific Computing - 12th International Workshop, 2010

2009

Approximate factorization of polynomials in Z[x].

Tateaki Sasaki, Yasutaka Ookura

ACM Commun. Comput. Algebra, 2009

Computing clustered close-roots of univariate polynomials.

Tateaki Sasaki, Akira Terui

Proceedings of the Symbolic Numeric Computation, 2009

Approximate factorization of polynomials over Z.

Tateaki Sasaki, Yasutaka Ookura

Proceedings of the Symbolic Numeric Computation, 2009

Convergence and many-valuedness of hensel seriesnear the expansion point.

Tateaki Sasaki, Daiju Inaba

Proceedings of the Symbolic Numeric Computation, 2009

Series-Expansion of Multivariate Algebraic Functions at Singular Points: Nonmonic Case.

Tateaki Sasaki, Daiju Inaba

Proceedings of the Computer Mathematics, 2009

A Practical Method for Floating-Point Gröbner Basis Computation.

Tateaki Sasaki

Proceedings of the Computer Mathematics, 2009

2008

Convergence domain of series expansions of multivariate algebraic functions.

Tateaki Sasaki, Daiju Inaba

ACM Commun. Comput. Algebra, 2008

2007

Computing floating-point gröbner bases stably.

Tateaki Sasaki, Fujio Kako

Proceedings of the Symbolic-Numeric Computation, 2007

Computing Approximate GCDs in Ill-conditioned Cases.

Masaru Sanuki, Tateaki Sasaki

Proceedings of the Symbolic-Numeric Computation, 2007

A numerical study of extended Hensel series.

Daiju Inaba, Tateaki Sasaki

Proceedings of the Symbolic-Numeric Computation, 2007

Floating-Point Gröbner Basis Computation with Ill-conditionedness Estimation.

Tateaki Sasaki, Fujio Kako

Proceedings of the Computer Mathematics, 8th Asian Symposium, 2007

2006

Computing determinants of rational functions.

Yasushi Umeda, Tateaki Sasaki

ACM Commun. Comput. Algebra, 2006

Hensel fan.

Takeshi Osoekawa, Tateaki Sasaki

ACM Commun. Comput. Algebra, 2006

Visualization of extended Hensel factors.

Daiju Inaba, Takeshi Osoekawa, Tateaki Sasaki

ACM Commun. Comput. Algebra, 2006

2005

An approach to singularity from the extended Hensel construction.

Tateaki Sasaki, Daiju Inaba, Kentaro Katamachi

SIGSAM Bull., 2005

2004

A theorem for separating close roots of a polynomial and its derivatives.

Tateaki Sasaki

SIGSAM Bull., 2004

2003

The subresultant and clusters of close roots.

Tateaki Sasaki

Proceedings of the Symbolic and Algebraic Computation, 2003

2002

A formula for separating small roots of a polynomial.

Tateaki Sasaki, Akira Terui

SIGSAM Bull., 2002

2001

Approximate multivariate polynomial factorization based on zero-sum relations.

Tateaki Sasaki

Proceedings of the 2001 International Symposium on Symbolic and Algebraic Computation, 2001

2000

Hensel construction of F(x, u₁, ..., x_l) l ≥ 2 at a singular point and its applications.

Tateaki Sasaki, Daiju Inaba

SIGSAM Bull., 2000

1998

Cancellation errors in multivariate resultant computation with floating-point numbers.

Tateaki Sasaki, Tomoyuki Sato

SIGSAM Bull., 1998

An Analysis of Cancellation Error in Multivariate Hensel Construction with Floating-Point Number Arithmetic.

Tateaki Sasaki, Satoshi Yamaguchi

Proceedings of the 1998 International Symposium on Symbolic and Algebraic Computation, 1998

1997

Approximate algebraic computation: practice and problems.

Tateaki Sasaki, Kousuke Shihara, Akira Terui, Yuichi Ozaki, Fujio Kako

SIGSAM Bull., 1997

Polynomial remainder sequence and approximate GCD.

Tateaki Sasaki, Mutsuko K. Sasaki

SIGSAM Bull., 1997

Proposal of "effective floating-point number" for approximate algebraic computation.

Fujio Kako, Tateaki Sasaki

SIGSAM Bull., 1997

1996

Pseudo-parallel execution of modular computation.

Takahiro Sado, Tomohiro Halaikawa, Tateaki Sasaki

SIGSAM Bull., 1996

1992

Three New Algorithms for Multivariate Polynomial GCD.

Tateaki Sasaki, Masayuki Suzuki

J. Symb. Comput., 1992

On integer-to-rational conversion algorithm.

Tateaki Sasaki, Mutsuko K. Sasaki

SIGSAM Bull., 1992

Multivariate quotient by power-series division.

Miroslav Kolár, Tateaki Sasaki

SIGSAM Bull., 1992

1987

A Hybrid algebraic-numeric system ANS and its preliminary implementation.

Masayuki Suzuki, Tateaki Sasaki, Mitsuhisa Sato, Yoshinari Fukui

Proceedings of the EUROCAL '87, 1987

Some algebraic algorithms based on head term elimination over polynomial rings.

Tateaki Sasaki

Proceedings of the EUROCAL '87, 1987

1986

Techniques in computer art.

Mutsuko K. Sasaki, Tateaki Sasaki

Vis. Comput., 1986

Simplification of algebraic expression by multiterm rewriting rules.

Tateaki Sasaki

Proceedings of the Symposium on Symbolic and Algebraic Manipulation, 1986

1983

Multi polynominal remainder sequence and its application to linear diophantine equations.

Akio Furukawa, Tateaki Sasaki

Proceedings of the Computer Algebra, 1983

1982

Efficient Gaussian Elimination Method for Symbolic Determinants and Linear Systems.

Tateaki Sasaki, Hirokazu Murao

ACM Trans. Math. Softw., 1982

1981

LISP-based "big-float" system is not slow.

Yasumasa Kanada, Tateaki Sasaki

SIGSAM Bull., 1981

Efficient Gaussian elimination method for symbolic determinants and linear systems (Extended Abstract).

Tateaki Sasaki, Hirokazu Murao

Proceedings of the Symposium on Symbolic and Algebraic Manipulation, 1981

Parallelism in algebraic computation and parallel algorithms for symbolic linear systems.

Tateaki Sasaki, Yasumasa Kanada

Proceedings of the Symposium on Symbolic and Algebraic Manipulation, 1981

1979

An arbitrary precision real arithmetic package in REDUCE.

Tateaki Sasaki

Proceedings of the Symbolic and Algebraic Computation, 1979

1978

Electron beam lithography for advanced LSl fabrication.

Eiichi Goto, Takashi Soma, Masanori Idesawa, Tateaki Sasaki

Proceedings of the American Federation of Information Processing Societies: 1978 National Computer Conference, 1978