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pro vyhledávání: '"M. Ghasemi Kamalvand"'
Autor:
M. Ghasemi Kamalvand, K. Niazi Asil
Publikováno v:
Advances in Mathematical Physics, Vol 2020 (2020)
In this paper, we equip Cn with an indefinite scalar product with a specific Hermitian matrix, and our aim is to develop some block Krylov methods to indefinite mode. In fact, by considering the block Arnoldi, block FOM, and block Lanczos methods, we
Externí odkaz:
https://doaj.org/article/7fbe81dd4b0143ca88440d29a1df67cf
Autor:
K. Niazi Asil, M. Ghasemi Kamalvand
Publikováno v:
Journal of Applied Mathematics, Vol 2020 (2020)
The indefinite inner product defined by J=diagj1,…,jn, jk∈−1,+1, arises frequently in some applications, such as the theory of relativity and the research of the polarized light. This indefinite scalar product is referred to as hyperbolic inner
Externí odkaz:
https://doaj.org/article/570bd371d36e407eb4dc206ef3aa182d
Autor:
M. Ghasemi Kamalvand, K. Niazi Asil
Publikováno v:
Journal of Applied Mathematics, Vol 2020 (2020)
J. Appl. Math.
J. Appl. Math.
The indefinite inner product defined by J=diagj1,…,jn, jk∈−1,+1, arises frequently in some applications, such as the theory of relativity and the research of the polarized light. This indefinite scalar product is referred to as hyperbolic inner
Autor:
M. Aliyari, M. Ghasemi Kamalvand
Publikováno v:
Mathematical Problems in Engineering, Vol 2018 (2018)
We describe an indefinite state of Arnoldi’s method for solving the eigenvalues problems. In the following, we scrutinize the indefinite state of Lanczos’ method for solving the eigenvalue problems and we show that this method for the J-Hermitian
Publikováno v:
Sarajevo Journal of Mathematics. 10:155-160
In this paper some properties of J{conjugate-normal ma- trices are given. In particular, a list of twenty one conditions is given, each of which is equivalent to the matrix A being J{conjugate-normal.
Autor:
Kh. D. Ikramov, M. Ghasemi Kamalvand
Publikováno v:
Moscow University Computational Mathematics and Cybernetics. 33:109-116
Two theorems are proved on the condensed forms with respect to unitary similarity and congruence transformations. They provide a theoretical basis for constructing economical iterative methods for systems of linear equations whose matrices are low-ra
Autor:
M. Ghasemi Kamalvand, Kh. D. Ikramov
Publikováno v:
Computational Mathematics and Mathematical Physics. 49:573-578
The method MINRES-CN was earlier proposed by the authors for solving systems of linear equations with conjugate-normal coefficient matrices. It is now shown that this method is also applicable even if the coefficient matrix, albeit not conjugate-norm
Autor:
Kh. D. Ikramov, M. Ghasemi Kamalvand
Publikováno v:
Computational Mathematics and Mathematical Physics. 49:203-216
Minimal residual methods, such as MINRES and GMRES, are well-known iterative versions of direct procedures for reducing a matrix to special condensed forms. The method of reduction used in these procedures is a sequence of unitary similarity transfor
Autor:
M. Ghasemi Kamalvand, Kh. D. Ikramov
Publikováno v:
Computational Mathematics and Mathematical Physics. 48:1261-1265
There are several well-known facts about unitary similarity transformations of complex n-by-n matrices: every matrix of order n = 3 can be brought to tridiagonal form by a unitary similarity transformation; if n ≥ 5, then there exist matrices that
Autor:
Kh. D. Ikramov, M. Ghasemi Kamalvand
Publikováno v:
Doklady Mathematics. 78:910-912