Results 21 to 30 of about 2,226,866 (302)
On the Rellich eigendecomposition of para-Hermitian matrices and the sign characteristics of *-palindromic matrix polynomials [PDF]
Linear Algebra and its Applications, 2022 We study the eigendecompositions of para-Hermitian matrices $H(z)$, that is, matrix-valued functions that are analytic and Hermitian on the unit circle $S^1 \subset \mathbb C$.
Giovanni Barbarino, V. Noferini
semanticscholar +1 more source
Non-Hermitian Rosenzweig-Porter random-matrix ensemble: Obstruction to the fractal phase [PDF]
Physical review B, 2022 We study the stability of non-ergodic but extended (NEE) phases in non-Hermitian systems. For this purpose, we generalize a so-called Rosenzweig-Porter random-matrix ensemble (RP), known to carry a NEE phase along with the Anderson localized and ergodic ...
Giuseppe De Tomasi, Ivan M Khaymovich
semanticscholar +1 more source
Hermitian Laplacian Matrix of Directed Graphs [PDF]
Jisuanji kexue, 2023 Laplacian matrix plays an important role in the research of undirected graphs.From its spectrum,some structure and properties of a graph can be deduced.Based on this,several efficient algorithms have been designed for relevant tasks in graphs,such as ...
LIU Kaiwen, HUANG Zengfeng
doaj +1 more source
Transfer matrix study of the Anderson transition in non-Hermitian systems [PDF]
Physical review B, 2021 The Anderson transition driven by non-Hermitian (NH) disorder has been extensively studied in recent years. In this paper, we present in-depth transfer matrix analyses of the Anderson transition in three NH systems, NH Anderson, U(1), and Peierls models ...
Xunlong Luo, T. Ohtsuki, Ryuichi Shindou
semanticscholar +1 more source
On Hermitian and Skew-Hermitian Matrix Algebras over Octonions [PDF]
Journal of Nonlinear Mathematical Physics, 2020 We prove simplicity, and compute $ $-derivations and symmetric associative forms of algebras in the title.
Arezoo Zohrabi, Pasha Zusmanovich
openaire +3 more sources
Symmetry, 2023 In this paper, we propose three real representations of a generalized Segre quaternion matrix. We establish necessary and sufficient conditions for the existence of the η-anti-Hermitian solution to a system of constrained matrix equations over the ...
Bai-Ying Ren +2 more
semanticscholar +1 more source
When is the hermitian/skew-hermitian part of a matrix a potent matrix? [PDF]
The Electronic Journal of Linear Algebra, 2012 This paper deals with the Hermitian H(A) and skew-Hermitian part S(A) of a complex matrix A. We characterize all complex matrices A such that H(A), respectively S(A), is a potent matrix. Two approaches are used: characterizations of idempotent and tripotent Hermitian matrices of a special form, and a singular value decomposition of A.
Ilisevic, Dijana, Thome, Néstor
openaire +4 more sources
Definitizable hermitian matrix pencils [PDF]
Aequationes Mathematicae, 1992 The paper presents three characterizations of strongly definitizable pencils, which generalize the classical results for definite pencils. They are in particular stably simultaneously diagonable. Also this form of stability is discussed with respect to an open subset of the real line. Implications for some quadratic eigenvalue problems are included.
Peter Lancaster +3 more
openaire +2 more sources
Accelerated normal and skew-Hermitian splitting methods for positive definite linear systems [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2013 For solving large sparse non-Hermitian positive definite linear equations, Bai et al. proposed the Hermitian and skew-Hermitian splitting methods (HSS). They recently generalized this technique to the normal and skew-Hermitian splitting methods (NSS). In
F. Toutounian, Davood Hezari
doaj +1 more source
AIMS Mathematics, 2023 In this paper, we are interested in the minimal norm of least squares Hermitian solution and the minimal norm of least squares anti-Hermitian solution for the complex generalized Sylvester matrix equation CXD+EXF=G.
Fengxia Zhang , Ying Li, Jianli Zhao
doaj +1 more source