Results 21 to 30 of about 277,976 (316)
Moore-Penrose inverse of a hollow symmetric matrix and a predistance matrix
Special Matrices, 2016 By a hollow symmetric matrix we mean a symmetric matrix with zero diagonal elements. The notion contains those of predistance matrix and Euclidean distance matrix as its special cases.
Kurata Hiroshi, Bapat Ravindra B.
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A matrix pair of an almost diagonal skew-symmetric matrix and a symmetric positive definite matrix
Linear Algebra and its Applications, 1993 Let A be skew-symmetric, B be symmetric positive definite, and the pair (A, B) have multiple eigenvalues. If A is close to Murnaghan form and B is close to diagonal form, then certain principal submatrices of A and B are specially related. In this paper we describe this relationship and quantify it under the usual asymptotic conditions.
Vjeran Hari, Noah H. Rhee
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Combinatorial properties of the enhanced principal rank characteristic sequence over finite fields
Special Matrices, 2021 The enhanced principal rank characteristic sequence (epr-sequence) of a symmetric matrix B ∈ 𝔽n×n is defined as ℓ1ℓ2· · · ℓn, where ℓj ∈ {A, S, N} according to whether all, some but not all, or none of the principal minors of order j of B are nonzero ...
Dukes Peter J., Martínez-Rivera Xavier
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Two families of the simple iteration method, in comparison [PDF]
Компьютерные исследования и моделирование, 2012 Convergence to the solution of the linear system with real quadrate non singular matrix A with real necessary different sign eigen values of two families of simple iteration method: two-parametric and symmetrized one-parametric generated by these A and b
Pavel Nikolaevich Sorokin +1 more
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Using Parametric Functions to Solve Systems of Linear Fuzzy Equations with a Symmetric Matrix [PDF]
International Journal of Computational Intelligence Systems, 2008 A method to solve linear fuzzy equations with a symmetric matrix is proposed. Ignoring the symmetry leads to an overestimation of the solution. Our method to find the solution of a system of linear fuzzy equations takes the symmetry of the matrix into ...
Annelies Vroman +2 more
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Symmetric functions and the Vandermonde matrix
Journal of Computational and Applied Mathematics, 2004 AbstractThis work deduces the lower and the upper triangular factors of the inverse of the Vandermonde matrix using symmetric functions and combinatorial identities. The L and U matrices are in turn factored as bidiagonal matrices. The elements of the upper triangular matrices in both the Vandermonde matrix and its inverse are obtained recursively. The
Oruc, HALİL, Akmaz, HK
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Symmetric multisplitting of a symmetric positive definite matrix
Linear Algebra and its Applications, 1998 AbstractA parallel symmetric multisplitting method for solving a symmetric positive system Ax = b is presented. Here the s.p.d. (symmetric positive definite) matrix A need not be assumed in a special form (e.g. the dissection form (R.E. White, SIAM J. Matrix Anal. Appl. 11 (1990) 69–82).
Zhi-Hao Cao, Zhong-Yun Liu
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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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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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The derivative of an orthogonal matrix of eigenvectors of a symmetric matrix
Linear Algebra and its Applications, 1997 AbstractThe authors supply the derivative of an orthogonal matrix of eigenvectors of a real symmetric matrix. To illustrate the applicability of their result they consider a real symmetric random matrix for which a more or less standard convergence in distribution is assumed to hold.
Heinz Neudecker, Tõnu Kollo
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