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pro vyhledávání: '"Kushel, Olga Y."'
Autor:
Kushel, Olga Y.
The concept of matrix $D$-stability, introduced in 1958 by Arrow and McManus is of major importance due to the variety of its applications. However, characterization of matrix $D$-stability for dimensions $n > 4$ is considered as a hard open problem.
Externí odkaz:
http://arxiv.org/abs/2210.05711
Autor:
Kushel, Olga Y.
In this paper, we study the class of relatively $D$-stable matrices and provide the conditions, sufficient for relative $D$-stability. We generalize the well-known Hadamard inequality, to provide upper bounds for the determinants of relatively $D$-st
Externí odkaz:
http://arxiv.org/abs/2205.10823
Autor:
Kushel, Olga Y., Pavani, Raffaella
In this paper, we introduce the class of diagonally dominant (with respect to a given LMI region ${\mathfrak D} \subset {\mathbb C}$) matrices that possesses the analogues of well-known properties of (classical) diagonally dominant matrices, e.g thei
Externí odkaz:
http://arxiv.org/abs/2103.04127
Autor:
Kushel, Olga Y., Pavani, Raffaella
We generalize the concepts of D-stability and additive D-stability of matrices. For this, we consider a family of unbounded regions defined in terms of Linear Matrix Inequalities (so-called LMI regions). We study the problem when the localization of
Externí odkaz:
http://arxiv.org/abs/2004.11172
Autor:
Kushel, Olga Y.
LMI (Linear Matrix Inequalities) regions is an important class of convex subsets of $\mathbb C$ arising in control theory. An LMI region $\mathfrak D$ is defined by its matrix-valued characteristic function $f_{\mathfrak D}(z) = {\mathbf L} + z{\math
Externí odkaz:
http://arxiv.org/abs/1910.10372
Autor:
Kushel, Olga Y.
Publikováno v:
In Linear Algebra and Its Applications 1 January 2023 656:9-26
Autor:
Kushel, Olga Y.
In this paper, we introduce the following concept which generalizes known definitions of multiplicative and additive $D$-stability, Schur $D$-stability, $H$-stability, $D$-hyperbolicity and many others. Given a subset ${\mathfrak D} \subset {\mathbb
Externí odkaz:
http://arxiv.org/abs/1805.05558
Autor:
Kushel, Olga Y., Pavani, Raffaella
Publikováno v:
In Linear Algebra and Its Applications 1 December 2021 630:204-224
Autor:
Kushel, Olga Y.
In this paper, we study the positive stability of $P$-matrices. We prove that a $P$-matrix A is positively stable if A is a $Q^2$-matrix and there is at least one nested sequence of principal submatrices of A each of which is also a $Q^2$-matrix. Thi
Externí odkaz:
http://arxiv.org/abs/1403.5099
Autor:
Kushel, Olga Y.
In this paper, eventually totally positive matrices (i.e. matrices all whose powers starting with some point are totally positive) are studied. We present a new approach to eventual total positivity which is based on the theory of eventually positive
Externí odkaz:
http://arxiv.org/abs/1310.6950