Shinya Miyajima

According to our database, Shinya Miyajima authored at least 27 papers between 2003 and 2023.

Collaborative distances:

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

2023

Fast verified computation for real powers of large matrices with Kronecker structure.

Shinya Miyajima

Appl. Math. Comput., September, 2023

2022

Fast verified computation for positive solutions to M-tensor multi-linear systems and Perron vectors of a kind of weakly irreducible nonnegative tensors.

Shinya Miyajima

J. Comput. Appl. Math., 2022

2021

Computing Enclosures for the Matrix Mittag-Leffler Function.

Shinya Miyajima

J. Sci. Comput., 2021

Verified computation of real powers of matrices.

Shinya Miyajima

J. Comput. Appl. Math., 2021

2020

Verified computation of matrix gamma function.

Shinya Miyajima

CoRR, 2020

2019

Verified computation for the Hermitian positive definite solution of the conjugate discrete-time algebraic Riccati equation.

Shinya Miyajima

J. Comput. Appl. Math., 2019

Verified computation for the matrix Lambert <i>W</i> function.

Shinya Miyajima

Appl. Math. Comput., 2019

Verified computation of the matrix exponential.

Shinya Miyajima

Adv. Comput. Math., 2019

2018

Fast verified computation for the matrix principal <i>p</i>th root.

Shinya Miyajima

J. Comput. Appl. Math., 2018

2017

Fast verified computation for solutions of algebraic Riccati equations arising in transport theory.

Shinya Miyajima

Numer. Linear Algebra Appl., 2017

Fast verified computation for stabilizing solutions of discrete-time algebraic Riccati equations.

Shinya Miyajima

J. Comput. Appl. Math., 2017

Verified solutions of delay eigenvalue problems.

Shinya Miyajima

Appl. Math. Comput., 2017

2015

Fast enclosure for the minimum norm least squares solution of the matrix equation <i>A</i><i>X</i><i>B</i> = <i>C</i>.

Shinya Miyajima

Numer. Linear Algebra Appl., 2015

A sharp error bound of the approximate solutions for saddle point linear systems.

Shinya Miyajima

J. Comput. Appl. Math., 2015

2014

Fast Enclosure for All Eigenvalues and Invariant Subspaces in Generalized Eigenvalue Problems.

Shinya Miyajima

SIAM J. Matrix Anal. Appl., 2014

2013

Fast Enclosure of Matrix Polynomials.

Shinya Miyajima

Reliab. Comput., 2013

2012

The Relation between Two Types of Error Bounds for Computed Matrix Eigenvalues.

Shinya Miyajima

Reliab. Comput., 2012

Componentwise Error Estimates for Solutions Obtained by Stationary Iterative Methods.

Shinya Miyajima

Reliab. Comput., 2012

Numerical enclosure for each eigenvalue in generalized eigenvalue problem.

Shinya Miyajima

J. Comput. Appl. Math., 2012

2010

Fast Verification for All Eigenpairs in Symmetric Positive Definite Generalized Eigenvalue Problems.

Shinya Miyajima, Takeshi Ogita, Siegfried M. Rump, Shin'ichi Oishi

Reliab. Comput., 2010

Fast enclosure for solutions in underdetermined systems.

Shinya Miyajima

J. Comput. Appl. Math., 2010

Fast enclosure for all eigenvalues in generalized eigenvalue problems.

Shinya Miyajima

J. Comput. Appl. Math., 2010

2005

Fast Verification for Respective Eigenvalues of Symmetric Matrix.

Shinya Miyajima, Takeshi Ogita, Shin'ichi Oishi

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

2004

A dividing method utilizing the best multiplication in affine arithmetic.

Shinya Miyajima, Masahide Kashiwagi

IEICE Electron. Express, 2004

A Method Which Finds the Maxima and Minima of a Multivariable Function Applying Affine Arithmetic.

Shinya Miyajima, Masahide Kashiwagi

Proceedings of the Numerical Analysis and Its Applications, Third International Conference, 2004

2003

A New Dividing Method in Affine Arithmetic.

Shinya Miyajima, Takatomi Miyata, Masahide Kashiwagi

IEICE Trans. Fundam. Electron. Commun. Comput. Sci., 2003

On Range Evaluation of Polynomials by Applying Interval Arithmetic.

Shinya Miyajima, Masahide Kashiwagi

Proceedings of the Large-Scale Scientific Computing, 4th International Conference, 2003