Shinya Miyajima

Publication Activity (10 Years)

Years Active: 2003-2023
Publications (10 Years): 14

Top Topics

Eigenvalue Problems

Top Venues

J. Comput. Appl. Math.

Appl. Math. Comput.

Numer. Linear Algebra Appl.

Publications

Shinya Miyajima
Fast verified computation for real powers of large matrices with Kronecker structure. Appl. Math. Comput. 453 (2023)
Shinya Miyajima
Fast verified computation for positive solutions to M-tensor multi-linear systems and Perron vectors of a kind of weakly irreducible nonnegative tensors. J. Comput. Appl. Math. 406 (2022)
Shinya Miyajima
Verified computation of real powers of matrices. J. Comput. Appl. Math. 391 (2021)
Shinya Miyajima
Computing Enclosures for the Matrix Mittag-Leffler Function. J. Sci. Comput. 87 (2) (2021)
Shinya Miyajima
Verified computation of matrix gamma function. CoRR (2020)
Shinya Miyajima
Verified computation of the matrix exponential. Adv. Comput. Math. 45 (1) (2019)
Shinya Miyajima
Verified computation for the Hermitian positive definite solution of the conjugate discrete-time algebraic Riccati equation. J. Comput. Appl. Math. 350 (2019)
Shinya Miyajima
function. Appl. Math. Comput. 362 (2019)
Shinya Miyajima
th root. J. Comput. Appl. Math. 330 (2018)
Shinya Miyajima
Fast verified computation for stabilizing solutions of discrete-time algebraic Riccati equations. J. Comput. Appl. Math. 319 (2017)
Shinya Miyajima
Verified solutions of delay eigenvalue problems. Appl. Math. Comput. 303 (2017)
Shinya Miyajima
Fast verified computation for solutions of algebraic Riccati equations arising in transport theory. Numer. Linear Algebra Appl. 24 (5) (2017)
Shinya Miyajima
. Numer. Linear Algebra Appl. 22 (3) (2015)
Shinya Miyajima
A sharp error bound of the approximate solutions for saddle point linear systems. J. Comput. Appl. Math. 277 (2015)
Shinya Miyajima
Fast Enclosure for All Eigenvalues and Invariant Subspaces in Generalized Eigenvalue Problems. SIAM J. Matrix Anal. Appl. 35 (3) (2014)
Shinya Miyajima
Fast Enclosure of Matrix Polynomials. Reliab. Comput. 18 (2013)
Shinya Miyajima
The Relation between Two Types of Error Bounds for Computed Matrix Eigenvalues. Reliab. Comput. 16 (2012)
Shinya Miyajima
Componentwise Error Estimates for Solutions Obtained by Stationary Iterative Methods. Reliab. Comput. 16 (2012)
Shinya Miyajima
Numerical enclosure for each eigenvalue in generalized eigenvalue problem. J. Comput. Appl. Math. 236 (9) (2012)
Shinya Miyajima, Takeshi Ogita, Siegfried M. Rump, Shin'ichi Oishi
Fast Verification for All Eigenpairs in Symmetric Positive Definite Generalized Eigenvalue Problems. Reliab. Comput. 14 (2010)
Shinya Miyajima
Fast enclosure for all eigenvalues in generalized eigenvalue problems. J. Comput. Appl. Math. 233 (11) (2010)
Shinya Miyajima
Fast enclosure for solutions in underdetermined systems. J. Comput. Appl. Math. 234 (12) (2010)
Shinya Miyajima, Takeshi Ogita, Shin'ichi Oishi
Fast Verification for Respective Eigenvalues of Symmetric Matrix. CASC (2005)
Shinya Miyajima, Masahide Kashiwagi
A dividing method utilizing the best multiplication in affine arithmetic. IEICE Electron. Express 1 (7) (2004)
Shinya Miyajima, Masahide Kashiwagi
A Method Which Finds the Maxima and Minima of a Multivariable Function Applying Affine Arithmetic. NAA (2004)
Shinya Miyajima, Takatomi Miyata, Masahide Kashiwagi
A New Dividing Method in Affine Arithmetic. IEICE Trans. Fundam. Electron. Commun. Comput. Sci. (9) (2003)
Shinya Miyajima, Masahide Kashiwagi
On Range Evaluation of Polynomials by Applying Interval Arithmetic. LSSC (2003)