Results 21 to 30 of about 2,287,877 (286)
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
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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
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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
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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
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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.
Zohrabi, Arezoo, Zusmanovich, Pasha
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The general $\phi$-Hermitian solution to mixed pairs of quaternion matrix Sylvester equations
, 2017 Zhuo‐Heng He +2 more
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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
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Pseudo‐Hermitian random matrix theory [PDF]
Fortschritte der Physik, 2012 AbstractComplex extension of quantum mechanics and the discovery of pseudo‐unitarily invariant random matrix theory has set the stage for a number of applications of these concepts in physics. We briefly review the basic ideas and present applications to problems in statistical mechanics where new results have become possible.
Srivastava, S. C. L., Jain, S. R.
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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
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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
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