TERUI Akira

Researcher's full information

Articles

GPGCD, an Iterative Method for Calculating Approximate GCD of Univariate Polynomials, with the Complex Coefficients
Akira Terui
Proceedings of the Joint Conference of ASCM 2009 and MACIS 2009, COE Lecture Note Vol. 22/p.212-221, 2009-12
An Iterative Method for Calculating Approximate GCD of Univariate Polynomials
Akira Terui
Proceedings of 2009 International Symposium on Symbolic and Algebraic Computations/p.351-358, 2009-07
Words, tilings and combinatorial spectra
Morita Jun; Terui Akira
Hiroshima mathematical journal/39(1)/pp.37-60, 2009-03
CiNii
Recursive Polynomial Remainder Sequence and its Subresultants
Akira Terui
Journal of Algebra/320(2)/pp.633-659, 2008-07
Subresultants in Recursive Polynomial Remainder Sequence
Akira Terui
CASC 2003: Proceedings of the Sixth International Workshop on Compuer Algebra in Scientific Computing/p.363-375, 2003-09
Recursive Polynomial Remainder Sequence and the Nested Subresultants
Akira Terui
Proceedings of the 8th International Workshop on Computer Algebra in Scientific Computing: CASC 2005, Lecture Notes in Computer Science 3718/3718/pp.445-456, 2005-09
Durand-Kerner Method for the Real Roots
Akira Terui; Tateaki Sasaki
Japan Journal of Industorial and Applied Mathematics/19(1)/p.19-38, 2002-01
"Approximate zero-points" of Real Univariate Polynomial with Large Error Terms
Akira Terui; Tateaki Sasaki
IPSJ Journal/41(4)/p.974-989, 2000-04
The GPGCD Algorithm with the Bezout Matrix
Chi Boming; Terui Akira
ACM COMMUNICATIONS IN COMPUTER ALGEBRA/53(3)/pp.99-102, 2019-09
Computing Clustered Close-Roots of Univariate Polynomials
Tateaki Sasaki; Akira Terui
Proceedings of The 3rd International Workshop on Symbolic-Numeric Computation/p.177-184, 2009-07
Towards simplified construction of subresultant matrix of multiple univariate polynomials
照井章
Dagstuhl Reports/5(6)/pp.65-65, 2015-06
A formula for separating small roots of a polynomial
Tateaki Sasaki; Akira Terui
ACM SIGSAM Bulletin/36(3)/p.19-23, 2002-03
Computer-assisted proofs of "Kariya's theorem" with computer algebra
Ayane Ito; Takefumi Kasai; Akira Terui
arXiv:2304.07491, 2023-04
Bezout行列に基づく近似GCD計算アルゴリズムGPGCDの複数多項式への拡張
池泊明; 照井章
Bulletin of JSSAC（日本数式処理学会誌）/29(1)/pp.25-28, 2023-01
Exact Algorithms for Computing Generalized Eigenspaces of Matrices via Annihilating Polynomials
Shinichi Tajima; Katsuyoshi Ohara; Akira Terui
arxiv:2209.04807, 2022-09
The GPGCD Algorithm with the Bézout Matrix for Multiple Univariate Polynomials
Chi Boming; Terui Akira
arXiv:2205.02984, 2022-05
Wu's Methodを用いた「刈屋の定理」の証明
葛西剛史; 照井章
数式処理 = Bulletin of the Japan Society for Symbolic and Algebraic Computation/28(2)/pp.115-118, 2022-07
Grobner基底を用いた「刈屋の定理」の証明
伊藤綾音; 照井章
数式処理 = Bulletin of the Japan Society for Symbolic and Algebraic Computation/28(2)/pp.111-114, 2022-07
包括的グレブナー基底系計算に基づく限量子消去アルゴリズムを用いたロボットの逆運動学問題の解法と実装
大瀧脩人; 照井章; 三河正彦
数式処理 = Bulletin of the Japan Society for Symbolic and Algebraic Computation/28(1)/pp.36-39, 2022-04
最小消去多項式を用いた一般固有ベクトル空間の構成
田島慎一; 小原功任; 照井章
数式処理 = Bulletin of the Japan Society for Symbolic and Algebraic Computation/28(1)/pp.32-35, 2022-04
A Design and an Implementation of an Inverse Kinematics Computation in Robotics Using Real Quantifier Elimination based on Comprehensive Gröbner Systems
Otaki Shuto; Terui Akira; Mikawa Masahiko
arXiv:2111.00384, 2021-11
グレブナー基底計算を用いたロボットの逆運動学問題の解法と実装
堀込紀行; 照井章; 三河正彦
Bulletin of JSSAC（日本数式処理学会誌）/27(2)/pp.9-12, 2021-08
数式処理と画像処理を用いたロボットアーム制御系の実装
照井章; 堀込紀行; 越川竜士; 大瀧修人; 三河正彦
Bulletin of JSSAC（日本数式処理学会誌）/26(2)/pp.34-37, 2020-08
Algorithm for Calculating Approximate GCD of Univariate Polynomials with the Bezout Resultant Matrix II
池泊明; 照井章
RIMS Kokyuroku/2159/pp.75-85, 2020-06
Algorithm for Calculating Approximate GCD of Univariate Polynomials with the Bezout Resultant Matrix
池泊明; 照井章
RIMS Kokyuroku/2104/pp.8-13, 2019-02
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