Zobrazeno 1 - 10
of 639
pro vyhledávání: '"2 × 2 real matrices"'
Publikováno v:
Linear Algebra and its Applications. 632:61-78
The stability and inertia of sign pattern matrices with entries in { + , − , 0 } associated with dynamical systems of second-order ordinary differential equations x ¨ = A x ˙ + B x are studied, where A and B are real matrices of order n. An equiv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::26ae156975f9054e3c49fd0d320f0804
https://doi.org/10.1016/j.laa.2021.08.030
https://doi.org/10.1016/j.laa.2021.08.030
Autor:
Khazhgali Kozhasov
Publikováno v:
Linear Algebra and its Applications. 626:56-78
We prove that semialgebraic sets of rectangular matrices of a fixed rank, of skew-symmetric matrices of a fixed rank and of real symmetric matrices whose eigenvalues have prescribed multiplicities are minimal submanifolds of the space of real matrice
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::118cf646abefac3d25b2253a5c3c612e
https://doi.org/10.1016/j.laa.2021.05.011
https://doi.org/10.1016/j.laa.2021.05.011
Publikováno v:
Linear Algebra and its Applications. 627:94-139
Truncated singular value decomposition is a reduced version of the singular value decomposition in which only a few largest singular values are retained. This paper presents a novel perturbation analysis for the truncated singular value decomposition
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::215271e12b9d71914350d5f4f3e32240
https://doi.org/10.1016/j.laa.2021.05.020
https://doi.org/10.1016/j.laa.2021.05.020
Autor:
Yaroslav Shitov
Publikováno v:
Proceedings of the American Mathematical Society. 149:3173-3176
Let $\mathcal{S}_n$ be the set of all $n$-by-$n$ symmetric real matrices, and let $\mathcal{C}_n$ be the copositive cone, that is, the set of all matrices $a\in\mathcal{S}_n$ that fulfill the condition $u^\top a u\geqslant0$ for all $n$-vectors $u$ w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d639b3b818da768373129334e70e964e
https://doi.org/10.1090/proc/15432
https://doi.org/10.1090/proc/15432
Autor:
Olof Troeng
Publikováno v:
IEEE Control Systems Letters
We show that the structured singular value of a real matrix with respect to five full complex uncertainty blocks equals its convex upper bound. This is done by formulating the equality conditions as a feasibility SDP and invoking a result on the exis
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::463b9d8dd9b210ddc493fd4ffccb200d
https://doi.org/10.1109/lcsys.2020.3004297
https://doi.org/10.1109/lcsys.2020.3004297
Publikováno v:
Linear Algebra and its Applications. 613:347-376
The general problem under consideration is the determination of the best (i.e., smallest) constant C p , q , r such that ‖ X Y − Y X ‖ p ≤ C p , q , r ‖ X ‖ q ‖ Y ‖ r for all n × n matrices X and Y , where ‖ ⋅ ‖ p is the Schatt
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::55b50f3fffb9c567e3f52abe95198d31
https://doi.org/10.1016/j.laa.2020.11.013
https://doi.org/10.1016/j.laa.2020.11.013
Publikováno v:
Journal of Separation Science. 44:822-832
Tracing the herbicide bixlozone and its metabolites in food is necessary to assess their risks to human health. In the study, a rapid and effective analytical method using the quick, easy, cheap, effective, rugged, and safe (QuEChERS) method for the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4b05b32d509704127136c3f931a48015
https://doi.org/10.1002/jssc.202000992
https://doi.org/10.1002/jssc.202000992
Autor:
Jingzhi Yan, Yinshan Chang
Publikováno v:
Journal of Differential Equations. 270:1138-1159
We consider linear Hamiltonian equations in R 2 n of the following type d γ d t ( t ) = J 2 n A ( t ) γ ( t ) , γ ( 0 ) ∈ Sp ( 2 n , R ) , where J = J 2 n = def [ 0 Id n − Id n 0 ] and A : t ↦ A ( t ) is a C 1 curve in the space of 2 n × 2
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::031264bbc8f00689c4b641c0eb974b81
https://doi.org/10.1016/j.jde.2020.09.003
https://doi.org/10.1016/j.jde.2020.09.003
Autor:
A. Vieiro, Joan Carles Tatjer
Publikováno v:
Discrete & Continuous Dynamical Systems - B. 26:1359-1403
We investigate the main phase space properties of the QR-flow when restricted to upper Hessenberg matrices. A complete description of the linear behavior of the equilibrium matrices is given. The main result classifies the possible \begin{document}$
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::76331137bcc5388bcf1483c562db0c0a
https://doi.org/10.3934/dcdsb.2020166
https://doi.org/10.3934/dcdsb.2020166
Autor:
George Hutchinson
Publikováno v:
Special Matrices, Vol 9, Iss 1, Pp 83-102 (2021)
A proof of the statement per(A ∘ B) ≤ per(A)per(B) is given for 4 × 4 positive semidefinite real matrices. The proof uses only elementary linear algebra and a rather lengthy series of simple inequalities.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::97fff79eeee685f988498fc85548a796
https://doaj.org/article/e017fa3f8f3c403d8cdb939d7a8fd906
https://doaj.org/article/e017fa3f8f3c403d8cdb939d7a8fd906