Akira Terui

According to our database, Akira Terui authored at least 29 papers between 1997 and 2024.

Collaborative distances:

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

2024

An optimized path planning of manipulator with spline curves using real quantifier elimination based on comprehensive Gröbner systems.

Yusuke Shirato, Natsumi Oka, Akira Terui, Masahiko Mikawa

Proceedings of the SCSS 2024 Work in Progress Workshop co-located with 10th International Symposium on Symbolic Computation in Software Science (SCSS 2024), 2024

Towards trajectory planning for a 6-degree-of-freedom robot manipulator considering the orientation of the end-effector using computer algebra.

Takumu Okazaki, Akira Terui, Masahiko Mikawa

Proceedings of the SCSS 2024 Work in Progress Workshop co-located with 10th International Symposium on Symbolic Computation in Software Science (SCSS 2024), 2024

Solving estimation problems using minimax polynomials and Gröbner bases.

Kenta Kuramochi, Akira Terui, Masahiko Mikawa

Proceedings of the SCSS 2024 Work in Progress Workshop co-located with 10th International Symposium on Symbolic Computation in Software Science (SCSS 2024), 2024

Towards trajectory planning of a robot manipulator with computer algebra using Bézier curves for obstacle avoidance.

Ryo Hatakeyama, Akira Terui, Masahiko Mikawa

Proceedings of the SCSS 2024 Work in Progress Workshop co-located with 10th International Symposium on Symbolic Computation in Software Science (SCSS 2024), 2024

2023

Computer-assisted proofs of "Kariya's theorem" with computer algebra.

Ayane Ito, Takefumi Kasai, Akira Terui

CoRR, 2023

Inverse Kinematics and Path Planning of Manipulator Using Real Quantifier Elimination Based on Comprehensive Gröbner Systems.

Mizuki Yoshizawa, Akira Terui, Masahiko Mikawa

Proceedings of the Computer Algebra in Scientific Computing - 25th International Workshop, 2023

2022

Exact Algorithms for Computing Generalized Eigenspaces of Matrices via Annihilating Polynomials.

Shinichi Tajima, Katsuyoshi Ohara, Akira Terui

CoRR, 2022

The GPGCD Algorithm with the Bézout Matrix for Multiple Univariate Polynomials.

Boming Chi, Akira Terui

CoRR, 2022

2021

A Design and an Implementation of an Inverse Kinematics Computation in Robotics Using Real Quantifier Elimination based on Comprehensive Gröbner Systems.

Shuto Otaki, Akira Terui, Masahiko Mikawa

CoRR, 2021

2020

Solving System of Nonlinear Equations with the Genetic Algorithm and Newton's Method.

Ryuji Koshikawa, Akira Terui, Masahiko Mikawa

CoRR, 2020

A Design and an Implementation of an Inverse Kinematics Computation in Robotics Using Gröbner Bases.

Noriyuki Horigome, Akira Terui, Masahiko Mikawa

Proceedings of the Mathematical Software - ICMS 2020, 2020

2019

The GPGCD algorithm with the Bézout matrix.

Boming Chi, Akira Terui

ACM Commun. Comput. Algebra, 2019

2018

Fast Algorithms for Computing Eigenvectors of Matrices via Pseudo Annihilating Polynomials.

Shinichi Tajima, Katsuyoshi Ohara, Akira Terui

CoRR, 2018

Fast Algorithm for Calculating the Minimal Annihilating Polynomials of Matrices via Pseudo Annihilating Polynomials.

Shinichi Tajima, Katsuyoshi Ohara, Akira Terui

CoRR, 2018

2016

An Automated Deduction and Its Implementation for Solving Problem of Sequence at University Entrance Examination.

Yumi Wada, Takuya Matsuzaki, Akira Terui, Noriko H. Arai

Proceedings of the Mathematical Software - ICMS 2016, 2016

2014

An Extension and Efficient Calculation of the Horner's Rule for Matrices.

Shinichi Tajima, Katsuyoshi Ohara, Akira Terui

Proceedings of the Mathematical Software - ICMS 2014, 2014

Developing Linear Algebra Packages on Risa/Asir for Eigenproblems.

Katsuyoshi Ohara, Shinichi Tajima, Akira Terui

Proceedings of the Mathematical Software - ICMS 2014, 2014

2013

GPGCD: An iterative method for calculating approximate GCD of univariate polynomials.

Akira Terui

Theor. Comput. Sci., 2013

Calculating approximate GCD of multiple univariate polynomials using approximate syzygies.

Akira Terui

ACM Commun. Comput. Algebra, 2013

2011

Abstracts from RIMS workshop on developments in computer algebra research.

Akira Terui

ACM Commun. Comput. Algebra, 2011

2010

GPGCD, an Iterative Method for Calculating Approximate GCD of Univariate Polynomials, with the Complex Coefficients

Akira Terui

CoRR, 2010

GPGCD, an iterative method for calculating approximate GCD, for multiple univariate polynomials.

Akira Terui

ACM Commun. Comput. Algebra, 2010

2009

Computing clustered close-roots of univariate polynomials.

Tateaki Sasaki, Akira Terui

Proceedings of the Symbolic Numeric Computation, 2009

An iterative method for calculating approximate GCD of univariate polynomials.

Akira Terui

Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2009

2008

Recursive Polynomial Remainder Sequence and its Subresultants.

Akira Terui

CoRR, 2008

Subresultants in Recursive Polynomial Remainder Sequence.

Akira Terui

CoRR, 2008

2005

Recursive Polynomial Remainder Sequence and the Nested Subresultants.

Akira Terui

Proceedings of the Computer Algebra in Scientific Computing, 8th International Workshop, 2005

2002

A formula for separating small roots of a polynomial.

Tateaki Sasaki, Akira Terui

SIGSAM Bull., 2002

1997

Approximate algebraic computation: practice and problems.

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

SIGSAM Bull., 1997