Hiroshi Sekigawa

According to our database, Hiroshi Sekigawa authored at least 32 papers between 1997 and 2023.

Collaborative distances:

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

2023

An Approximation Algorithm for the Nearest Decomposable Polynomial in the Hamming Distance.

Hiroshi Sekigawa

ACM Commun. Comput. Algebra, September, 2023

2019

Robust computation methods for sparse interpolation of multivariate polynomials.

Kazuki Kondo, Hiroshi Sekigawa

ACM Commun. Comput. Algebra, 2019

On Parametric Border Bases.

Yosuke Sato, Hiroshi Sekigawa, Ryoya Fukasaku, Katsusuke Nabeshima

Proceedings of the Mathematical Aspects of Computer and Information Sciences, 2019

2018

Robust algorithms for sparse interpolation of multivariate polynomials.

Dai Numahata, Hiroshi Sekigawa

ACM Commun. Comput. Algebra, 2018

On Continuity of the Roots of a Parametric Zero Dimensional Multivariate Polynomial Ideal.

Yosuke Sato, Ryoya Fukasaku, Hiroshi Sekigawa

Proceedings of the 2018 ACM on International Symposium on Symbolic and Algebraic Computation, 2018

2017

The nearest polynomial to multiple given polynomials with a given zero in the real case.

Hiroshi Sekigawa

Theor. Comput. Sci., 2017

An algorithm for symbolic-numeric sparse interpolation of multivariate polynomials whose degree bounds are unknown.

Dai Numahata, Hiroshi Sekigawa

ACM Commun. Comput. Algebra, 2017

2014

Quantum Fourier Transform over Symmetric Groups: Improved Result.

Yasuhito Kawano, Hiroshi Sekigawa

ACM Commun. Comput. Algebra, 2014

The nearest polynomial to multiple given polynomials with a given zero.

Hiroshi Sekigawa

Proceedings of the Symbolic-Numeric Computation 2014, 2014

2013

Quantum fourier transform over symmetric groups.

Yasuhito Kawano, Hiroshi Sekigawa

Proceedings of the International Symposium on Symbolic and Algebraic Computation, 2013

2012

Maximal perturbation for preserving the number of solutions of a polynomial system.

Hiroshi Sekigawa, Kiyoshi Shirayanagi

ACM Commun. Comput. Algebra, 2012

2011

Computing the nearest polynomial with a zero in a given domain by using piecewise rational functions.

Hiroshi Sekigawa

J. Symb. Comput., 2011

Isolated real zero of a real polynomial system under perturbation.

Hiroshi Sekigawa, Kiyoshi Shirayanagi

ACM Commun. Comput. Algebra, 2011

2010

Solvability of bivariate polynomial systems under perturbation.

Hiroshi Sekigawa, Kiyoshi Shirayanagi

ACM Commun. Comput. Algebra, 2010

2009

Synthesis of quantum circuits for d-level systems by using cosine-sine decomposition.

Yumi Nakajima, Yasuhito Kawano, Hiroshi Sekigawa, Masaki Nakanishi, Shigeru Yamashita, Yasuhiko Nakashima

Quantum Inf. Comput., 2009

On real factors of real interval polynomials.

Hiroshi Sekigawa

J. Symb. Comput., 2009

A new method of reducing exact computations to obtain exact results.

Kiyoshi Shirayanagi, Hiroshi Sekigawa

ACM Commun. Comput. Algebra, 2009

Determining divisibility between polynomials with inexact coefficients.

Hiroki Nakayama, Hiroshi Sekigawa

ACM Commun. Comput. Algebra, 2009

Reducing exact computations to obtain exact results based on stabilization techniques.

Kiyoshi Shirayanagi, Hiroshi Sekigawa

Proceedings of the Symbolic Numeric Computation, 2009

A Sequence of Nearest Polynomials with Given Factors.

Hiroshi Sekigawa

Proceedings of the Computer Mathematics, 2009

2008

A new Gröbner basis conversion method based on stabilization techniques.

Kiyoshi Shirayanagi, Hiroshi Sekigawa

Theor. Comput. Sci., 2008

The nearest polynomial with a zero in a given domain.

Hiroshi Sekigawa

Theor. Comput. Sci., 2008

Efficient quantum circuits for approximating the Jones polynomial.

Yumi Nakajima, Yasuhito Kawano, Hiroshi Sekigawa

Quantum Inf. Comput., 2008

The nearest polynomial with a zero in a given domain from a geometrical viewpoint.

Hiroshi Sekigawa

Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2008

2007

On the Location of Pseudozeros of a Complex Interval Polynomial.

Hiroshi Sekigawa, Kiyoshi Shirayanagi

Math. Comput. Sci., 2007

Minimum converging precision of the QR-factorization algorithm for real polynomial GCD.

Pramook Khungurn, Hiroshi Sekigawa, Kiyoshi Shirayanagi

Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2007

The Nearest Real Polynomial with a Real Multiple Zero in a Given Real Interval.

Hiroshi Sekigawa

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

2006

A new algorithm for producing quantum circuits using KAK decompositions.

Yumi Nakajima, Yasuhito Kawano, Hiroshi Sekigawa

Quantum Inf. Comput., 2006

Locating real multiple zeros of a real interval polynomial.

Hiroshi Sekigawa, Kiyoshi Shirayanagi

Proceedings of the Symbolic and Algebraic Computation, International Symposium, 2006

2005

Existence of the Exact CNOT on a Quantum Computer with the Exchange Interaction.

Yasuhito Kawano, Kinji Kimura, Hiroshi Sekigawa, Masayuki Noro, Kiyoshi Shirayanagi, Masahiro Kitagawa, Masanao Ozawa

Quantum Inf. Process., 2005

1999

Nonexistence conditions of a solution for the congruence x1^k + ... + xs^k = N (mod pⁿ).

Hiroshi Sekigawa, Kenji Koyama

Math. Comput., 1999

1997

On searching for solutions of the Diophantine equation x³ + y³ + z³ = n.

Kenji Koyama, Yukio Tsuruoka, Hiroshi Sekigawa

Math. Comput., 1997