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pro vyhledávání: '"Marsli, Rachid"'
Autor:
Marsli, Rachid, Hall, Frank J.
Let ({\lambda}, v) be a known real eigenpair of a square real matrix A. In this paper it is shown how to locate the other eigenvalues of A in terms of the components of v. The obtained region is a union of Gershgorin discs of the second type recently
Externí odkaz:
http://arxiv.org/abs/2006.12491
Autor:
Marsli, Rachid, Hall, Frank J.
The main result is Corollary 2.9 which provides upper bounds on, and even better, approximates the largest non-trivial eigenvalue in absolute value of real constant row-sum matrices by the use of vector norm based ergodicity coefficients Tp. If the c
Externí odkaz:
http://arxiv.org/abs/1911.06139
Autor:
Marsli, Rachid
In this work, the author shows a sufficient and necessary condition for an integer of the form $(zn-y^n)/(z-y)$ to be divisible by some perfect $mth$ power $p$, where $p$ is an odd prime and $m$ is a positive integer. A constructive method of this ty
Externí odkaz:
http://arxiv.org/abs/1901.01139
Autor:
Marsli, Rachid
Publikováno v:
Mathematics Theses.
If A is an nxn complex matrix and λ is an eigenvalue of A with geometric multiplicity k, then λ is in at least k of the Geršgorin discs Di of A. Let k, r, t be positive integers with k ≤ r ≤ t. Then there is a txt complex matrix A and an eigen
Autor:
Marsli Rachid, Hall Frank J.
Publikováno v:
Special Matrices, Vol 8, Iss 1, Pp 204-220 (2020)
Let (λ, v) be a known real eigenpair of an n×n real matrix A. In this paper it is shown how to locate the other eigenvalues of A in terms of the components of v. The obtained region is a union of Gershgorin discs of the second type recently introdu
Externí odkaz:
https://doaj.org/article/afad9dad6c7c4235a3774d832f5f2966
Autor:
Marsli, Rachid1 (AUTHOR) rmarsliz@kfupm.edu.sa
Publikováno v:
Arabian Journal of Mathematics. Dec2022, Vol. 11 Issue 3, p549-556. 8p.
Autor:
Marsli, Rachid, Hall, Frank J.
Publikováno v:
In Linear Algebra and Its Applications 1 July 2013 439(1):189-195
Publikováno v:
In Linear Algebra and Its Applications 1 January 2013 438(1):598-603
Autor:
Marsli, Rachid
Publikováno v:
Mathematics Theses.
If A is an nxn complex matrix and λ is an eigenvalue of A with geometric multiplicity k, then λ is in at least k of the Geršgorin discs Di of A. Let k, r, t be positive integers with k ≤ r ≤ t. Then there is a txt complex matrix A and an eigen
Autor:
Marsli, Rachid
Publikováno v:
Mathematics Dissertations.
In this work we discover for the first time a strong relationship between Geršgorin theory and the geometric multiplicities of eigenvalues. In fact, if λ is an eigenvalue of an n × n matrix A with geometric multiplicity k, then λ is in at least k