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Shinya Miyajima
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2020 – today
- 2023
- [j23]Shinya Miyajima
:
Fast verified computation for real powers of large matrices with Kronecker structure. Appl. Math. Comput. 453: 128055 (2023) - 2022
- [j22]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: 113930 (2022) - 2021
- [j21]Shinya Miyajima:
Verified computation of real powers of matrices. J. Comput. Appl. Math. 391: 113431 (2021) - [j20]Shinya Miyajima
Computing Enclosures for the Matrix Mittag-Leffler Function. J. Sci. Comput. 87(2): 62 (2021) - 2020
- [i1]Shinya Miyajima:
Verified computation of matrix gamma function. CoRR abs/2001.06623 (2020)
2010 – 2019
- 2019
- [j19]Shinya Miyajima
Verified computation of the matrix exponential. Adv. Comput. Math. 45(1): 137-152 (2019) - [j18]Shinya Miyajima
Verified computation for the matrix Lambert W function. Appl. Math. Comput. 362 (2019) - [j17]Shinya Miyajima
Verified computation for the Hermitian positive definite solution of the conjugate discrete-time algebraic Riccati equation. J. Comput. Appl. Math. 350: 80-86 (2019) - 2018
- [j16]Shinya Miyajima
Fast verified computation for the matrix principal pth root. J. Comput. Appl. Math. 330: 276-288 (2018) - 2017
- [j15]Shinya Miyajima
Verified solutions of delay eigenvalue problems. Appl. Math. Comput. 303: 211-225 (2017) - [j14]Shinya Miyajima
Fast verified computation for stabilizing solutions of discrete-time algebraic Riccati equations. J. Comput. Appl. Math. 319: 352-364 (2017) - [j13]Shinya Miyajima
Fast verified computation for solutions of algebraic Riccati equations arising in transport theory. Numer. Linear Algebra Appl. 24(5) (2017) - 2015
- [j12]Shinya Miyajima
A sharp error bound of the approximate solutions for saddle point linear systems. J. Comput. Appl. Math. 277: 36-46 (2015) - [j11]Shinya Miyajima
Fast enclosure for the minimum norm least squares solution of the matrix equation AXB = C. Numer. Linear Algebra Appl. 22(3): 548-563 (2015) - 2014
- [j10]Shinya Miyajima
Fast Enclosure for All Eigenvalues and Invariant Subspaces in Generalized Eigenvalue Problems. SIAM J. Matrix Anal. Appl. 35(3): 1205-1225 (2014) - 2013
- [j9]Shinya Miyajima:
Fast Enclosure of Matrix Polynomials. Reliab. Comput. 18: 9-14 (2013) - 2012
- [j8]Shinya Miyajima
Numerical enclosure for each eigenvalue in generalized eigenvalue problem. J. Comput. Appl. Math. 236(9): 2545-2552 (2012) - [j7]Shinya Miyajima:
Componentwise Error Estimates for Solutions Obtained by Stationary Iterative Methods. Reliab. Comput. 16: 102-106 (2012) - [j6]Shinya Miyajima:
The Relation between Two Types of Error Bounds for Computed Matrix Eigenvalues. Reliab. Comput. 16: 107-113 (2012) - 2010
- [j5]Shinya Miyajima
Fast enclosure for all eigenvalues in generalized eigenvalue problems. J. Comput. Appl. Math. 233(11): 2994-3004 (2010) - [j4]Shinya Miyajima
Fast enclosure for solutions in underdetermined systems. J. Comput. Appl. Math. 234(12): 3436-3444 (2010) - [j3]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: 24-45 (2010)
2000 – 2009
- 2005
- [c3]Shinya Miyajima
Fast Verification for Respective Eigenvalues of Symmetric Matrix. CASC 2005: 306-317 - 2004
- [j2]Shinya Miyajima, Masahide Kashiwagi:
A dividing method utilizing the best multiplication in affine arithmetic. IEICE Electron. Express 1(7): 176-181 (2004) - [c2]Shinya Miyajima, Masahide Kashiwagi:
A Method Which Finds the Maxima and Minima of a Multivariable Function Applying Affine Arithmetic. NAA 2004: 424-431 - 2003
- [j1]Shinya Miyajima, Takatomi Miyata, Masahide Kashiwagi:
A New Dividing Method in Affine Arithmetic. IEICE Trans. Fundam. Electron. Commun. Comput. Sci. 86-A(9): 2192-2196 (2003) - [c1]Shinya Miyajima, Masahide Kashiwagi:
On Range Evaluation of Polynomials by Applying Interval Arithmetic. LSSC 2003: 254-261
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