Zobrazeno 1 - 10
of 762
pro vyhledávání: '"Minimal polynomial (linear algebra)"'
Autor:
Vasilii Zaitsev
Publikováno v:
IEEE Transactions on Automatic Control. 67:520-525
Continuous-time linear systems with periodic coefficients of period T are considered in this paper. We study the question of the controllability interval length of periodic systems. It is known that a controllable T-periodic system is controllable ov
Publikováno v:
Computers & Mathematics with Applications. 98:69-80
In this paper, a new preconditioned iterative method is presented to solve a class of nonsymmetric nonsingular or singular saddle point problems. The implementation of the proposed preconditioned Krylov subspace method avoids solving inverse of Schur
Autor:
D. V. Koleda
Publikováno v:
Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series. 57:135-147
Algebraic numbers are the roots of integer polynomials. Each algebraic number α is characterized by its minimal polynomial Pα that is a polynomial of minimal positive degree with integer coprime coefficients, α being its root. The degree of α is
Publikováno v:
IEEE Transactions on Signal Processing. 69:1083-1096
Here we consider the problem of designing finite-impulse-response (FIR) graph filter (GF) in a fully distributed way. For a directed graph with $\mathsf {N}$ nodes, each node designs filter coefficients in a distributed manner, when the knowledge of
Autor:
João Ferreira Alves
Publikováno v:
The Electronic Journal of Linear Algebra. 36:664-677
The purpose of this note is to obtain rational criteria for diagonalizability of real matrices through the analysis of the moment and Gram matrices associated to a given real matrix. These concepts were introduced by Horn and Lopatin in [R.A. Horn an
Autor:
Shu-Xin Miao
Publikováno v:
Japan Journal of Industrial and Applied Mathematics. 37:913-928
In this paper, a new preconditioner for a class of $$2\times 2$$ block linear systems is proposed. The proposed new preconditioner is a better approximation to the original coefficient matrix than the previous ones. The eigenvalue distribution and an
Publikováno v:
Mathematics
Volume 9
Issue 18
Mathematics, Vol 9, Iss 2285, p 2285 (2021)
Volume 9
Issue 18
Mathematics, Vol 9, Iss 2285, p 2285 (2021)
Linear complexity is an important property to measure the unpredictability of pseudo-random sequences. Trace representation is helpful for analyzing cryptography properties of pseudo-random sequences. In this paper, a class of new Ding generalized cy
Autor:
S. V. Sidorov
Publikováno v:
Mathematical Notes. 105:756-762
The problem of the similarity of integer matrices with single eigenvalue over the ring of integers is considered. A criterion for a matrix to be similar to a Jordan block is obtained. In addition, a similarity criterion for matrices whose minimal pol
Autor:
Yongsheng Tang, Heqian Xu
Publikováno v:
Journal of Algebra, Number Theory: Advances and Applications. 20:1-16
Autor:
C. Kanta Gupta, Evgenii L. Bashkirov
Publikováno v:
Communications in Algebra. 47:4181-4193
The article classifies groups of 3 × 3 matrices over a field k of characteristic not 2 containing a subgroup which is a conjugate of the group(1aa2/201a001),with a ranging over k. Nonidentity elements of this group are modeled after short root eleme