Zobrazeno 1 - 10
of 63
pro vyhledávání: '"Panayiotis Psarrakos"'
Publikováno v:
Mathematics, Vol 9, Iss 15, p 1729 (2021)
In this note, given a matrix A∈Cn×n (or a general matrix polynomial P(z), z∈C) and an arbitrary scalar λ0∈C, we show how to define a sequence μkk∈N which converges to some element of its spectrum. The scalar λ0 serves as initial term (μ0
Externí odkaz:
https://doaj.org/article/57b2dc91a25e4eeda30745c3369ac08f
Publikováno v:
Journal of Applied Mathematics, Vol 2013 (2013)
Externí odkaz:
https://doaj.org/article/3ae173a2a4284b0cab6fe7bb6ae87d69
Publikováno v:
Linear Algebra and its Applications. 665:354-381
Publikováno v:
The Electronic Journal of Linear Algebra. :32-48
The Birkhoff-James $\varepsilon$-sets of vectors and vector-valued polynomials (in one complex variable) have recently been introduced as natural generalizations of the standard numerical range of (square) matrices or operators and matrix or operator
Publikováno v:
Aequationes mathematicae. 95:889-914
The cosine function is a classical tool for measuring angles in inner product spaces, and it has various extensions to normed linear spaces. In this paper, we investigate a cosine function for the convex angle formed by two nonzero elements of a comp
Publikováno v:
Linear Algebra and its Applications. 585:105-126
We present a generalization of Householder sets for matrix polynomials. After defining these sets, we analyze their topological and algebraic properties, which include containing all of the eigenvalues of a given matrix polynomial. Then, we use insta
Publikováno v:
Mathematics
Volume 9
Issue 15
Mathematics, Vol 9, Iss 1729, p 1729 (2021)
Volume 9
Issue 15
Mathematics, Vol 9, Iss 1729, p 1729 (2021)
In this note, given a matrix A∈Cn×n (or a general matrix polynomial P(z), z∈C) and an arbitrary scalar λ0∈C, we show how to define a sequence μkk∈N which converges to some element of its spectrum. The scalar λ0 serves as initial term (μ0
Publikováno v:
Operators and Matrices. :643-652
Publikováno v:
Linear Algebra and its Applications. 544:158-185
Consider an n × n matrix polynomial P ( λ ) and a set Σ consisting of k ≤ n complex numbers. Recently, Kokabifar, Loghmani, Psarrakos and Karbassi studied a (weighted) spectral norm distance from P ( λ ) to the n × n matrix polynomials whose s
Publikováno v:
The Electronic Journal of Linear Algebra. 34:652-674
New localization results for polynomial eigenvalue problems are obtained, by extending the notions of the Gershgorin set, the generalized Gershgorin set, the Brauer set and the Dashnic-Zusmanovich set to the case of matrix polynomials.