Results 21 to 30 of about 909,858 (182)
Mathematics, 2022 A non-iterative method for the difference of means is presented to calculate the log-Euclidean distance between a symmetric positive-definite matrix and the mean matrix on the Lie group of symmetric positive-definite matrices.
Xiaomin Duan +3 more
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Non symmetric random walk on infinite graph [PDF]
Opuscula Mathematica, 2011 We investigate properties of a non symmetric Markov's chain on an infinite graph. We show the connection with matrix valued random walk polynomials which satisfy the orthogonality formula with respect to non a symmetric matrix valued measure.
Marcin J. Zygmunt
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International Journal of Mathematics and Mathematical Sciences, 2009 In this paper we present equivalent characterizations of k-Kernel symmetric Matrices. Necessary and sufficient conditions are determined for a matrix to be k-Kernel Symmetric. We give some basic results of kernel symmetric matrices.
A. R. Meenakshi, D. Jaya Shree
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PT Symmetry as a Generalization of Hermiticity
, 2010 The Hilbert space in PT-symmetric quantum mechanics is formulated as a linear vector space with a dynamic inner product. The most general PT-symmetric matrix Hamiltonians are constructed for 2*2 and 3*3 cases.
Ballentine L E +9 more
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Cauchy's interlace theorem and lower bounds for the spectral radius
International Journal of Mathematics and Mathematical Sciences, 2000 We present a short and simple proof of the well-known Cauchy interlace theorem. We use the theorem to improve some lower bound estimates for the spectral radius of a real symmetric matrix.
A. McD. Mercer, Peter R. Mercer
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Smoothed analysis of symmetric random matrices with continuous distributions [PDF]
, 2015 We study invertibility of matrices of the form $D+R$ where $D$ is an arbitrary symmetric deterministic matrix, and $R$ is a symmetric random matrix whose independent entries have continuous distributions with bounded densities. We show that $|(D+R)^{-1}|
Farrell, Brendan, Vershynin, Roman
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On completions of symmetric and antisymmetric block diagonal partial matrices
, 2013 A partial matrix is a matrix where only some of the entries are given. We determine the maximum rank of the symmetric completions of a symmetric partial matrix where only the diagonal blocks are given and the minimum rank and the maximum rank of the ...
Rubei, Elena
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F1000ResearchThe concept of secondary range symmetric matrices are introduced here. Some characterizations as well as the equivalent conditions for a range symmetric matrix to be secondary range symmetric matrix is given.
Divya Shenoy
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Constrained Solutions of a System of Matrix Equations
Journal of Applied Mathematics, 2012 We derive the necessary and sufficient conditions of and the expressions for the orthogonal solutions, the symmetric orthogonal solutions, and the skew-symmetric orthogonal solutions of the system of matrix equations AX=B and XC=D, respectively. When the
Qing-Wen Wang, Juan Yu
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Hypergraphs and hypermatrices with symmetric spectrum
, 2016 It is well known that a graph is bipartite if and only if the spectrum of its adjacency matrix is symmetric. In the present paper, this assertion is dissected into three separate matrix results of wider scope, which are extended also to hypermatrices. To
Nikiforov, V.
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