Zobrazeno 1 - 10
of 17
pro vyhledávání: '"A. K. Abdikalykov"'
Autor:
A. K. Abdikalykov, Kh. D. Ikramov
Publikováno v:
Journal of Mathematical Sciences. 249:113-117
The paper describes the nonsingular matrices U such that for every Hankel matrix A of the same order, the matrix U−1AU also is a Hankel matrix. Bibliography: 4 titles.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5a4b088239cd22badba94e03f0b85ead
https://doi.org/10.1007/s10958-020-04925-8
https://doi.org/10.1007/s10958-020-04925-8
Autor:
Kh. D. Ikramov, A. K. Abdikalykov
Publikováno v:
Journal of Mathematical Sciences. 240:707-714
Let Tn be the set of complex Toeplitz n × n matrices. The paper describes the matrices U in the linear group GLn(ℂ) such that $$ \forall A\in {T}_n\to {U}^{-1} AU\in {T}_n $$ and also the matrices U ∈ GLn(ℂ) such that $$ \forall A\in {T}_n\to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7b7b74656b2a66b3387e5b40bf5b6681
https://doi.org/10.1007/s10958-019-04387-7
https://doi.org/10.1007/s10958-019-04387-7
Publikováno v:
Mathematical Notes. 99:3-8
The duality relation in the title of the paper is an identity between the groups of unitary automorphisms acting in the space of Toeplitz or Hankel matrices by similarity or congruence. A simple answer is given to the question why such identities can
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9e06fd5f385047dfc780c077215eb90d
https://doi.org/10.1134/s0001434616010016
https://doi.org/10.1134/s0001434616010016
Publikováno v:
Moscow University Computational Mathematics and Cybernetics. 39:153-156
Matrices U in unitary group U4 that satisfy the implication ∀Aℱℋ4 → B =U*AU ∈ ℱℋ4 are examined. Here, ℱℋ4 is a set of order four (T+H)-matrices. Such matrices U can be identified with unitary automorphisms of the space ℱℋ4.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::78325d93d51ded146c6785de5db032ad
https://doi.org/10.3103/s0278641915030024
https://doi.org/10.3103/s0278641915030024
Autor:
A. K. Abdikalykov
Publikováno v:
Journal of Mathematical Sciences. 207:669-673
Let TH n be the space of (T + H)-matrices of order n. The paper considers the following question: Which unitary matrices U satisfy the condition ∀A ∈ TH n → U*AU ∈ TH n ? A criterion for verifying whether a given matrix U has this property is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c55c22f06f4888892903bd1996ebe234
https://doi.org/10.1007/s10958-015-2389-2
https://doi.org/10.1007/s10958-015-2389-2
Publikováno v:
Computational Mathematics and Mathematical Physics. 54:1761-1764
Certain techniques that can be used for accelerating the calculation of the eigenvalues of normal Toeplitz matrices are described. The run times of the standard Matlab procedure eig with and without the use of these techniques are compared.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d01a156d8a4a965a0a6d58d4f59bb6a0
https://doi.org/10.1134/s0965542514120045
https://doi.org/10.1134/s0965542514120045
Publikováno v:
Linear and Multilinear Algebra. 63:1195-1203
Let be the set of Toeplitz matrices. We describe the matrices in the unitary group such that
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b9cf55b9852a621a4f73d95c3e284b4d
https://doi.org/10.1080/03081087.2014.923139
https://doi.org/10.1080/03081087.2014.923139
Publikováno v:
Moscow University Computational Mathematics and Cybernetics. 38:1-7
Algorithms for the rapid computation of eigenvalues for certain classes of normal Toeplitz matrices are presented. The time required to execute these algorithms is compared to that of the standard Matlab procedure eig.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f2ef8cd2eb1ab06e6fa32a5d6be7d267
https://doi.org/10.3103/s0278641914010026
https://doi.org/10.3103/s0278641914010026
Autor:
A. K. Abdikalykov
Publikováno v:
Computational Mathematics and Mathematical Physics. 55:731-733
The following problem is discussed: what are unitary n × n matrices U that map the linear space of (T + H)-matrices into itself by similarity transformations? Analogous problems for the spaces of Toeplitz and Hankel matrices were solved recently. Fo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1ad6e4aa1db888f29764f0da76bb8e84
https://doi.org/10.1134/s0965542515050024
https://doi.org/10.1134/s0965542515050024
Autor:
Kh. D. Ikramov, A. K. Abdikalykov
Publikováno v:
Mathematical Notes. 91:528-534
A matrix A ∈ Mn(ℂ) is said to be unitarily transposable if AT = Q*AQ for a certain unitary matrix Q. Every 2 × 2 matrix is unitarily transposable; however, for greater orders, a similar statement is false, and the general description of unitaril
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::02943c1e13d88d668b0702017c199b0a
https://doi.org/10.1134/s0001434612030273
https://doi.org/10.1134/s0001434612030273