On matrix valued square integrable positive definite functions [PDF]
Monatshefte für Mathematik, 2015 11 ...
Hongyu He, He, Hongyu
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Positive definite solution of two kinds of nonlinear matrix equations [PDF]
Surveys in Mathematics and its Applications, 2009 Based on the elegant properties of the Thompson metric, we prove that the following two kinds of nonlinear matrix equations X=Σi=1m Ai* XδiAi and X=Σi=1m (Ai* XAi)δi ...
Fujian Duan, Zhenyun Peng, Xuefeng Duan
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On Projection of a Positive Definite Matrix on a Cone of Nonnegative Definite Toeplitz Matrices
The Electronic Journal of Linear Algebra, 2018 We consider approximation of a given positive definite matrix by nonnegative definite banded Toeplitz matrices. We show that the projection on linear space of Toeplitz matrices does not always preserve nonnegative definiteness. Therefore we characterize a convex cone of nonnegative definite banded Toeplitz matrices which depends on the matrix ...
Filipiak, Katarzyna +3 more
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The Space of a Positive Definite Matrix of Measures and Density of Matrix Polynomials inL1 [PDF]
Journal of Approximation Theory, 1997 AbstractIn this paper we study the space Lp(μ), 1⩽p⩽+∞,μbeing a positive definite matrix of measures. We prove that the set of all positive definite matrices of measures having the same moments as those ofμis compact in the vague topology, and we give a density result for L1(μ) which is an extension to the matrix case of the classical result for scalar
Duran, Antonio J. +1 more
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Adapting the interior point method for the solution of LPs on serial, coarse grain parallel and massively parallel computers [PDF]
, 1990 In this paper we describe a unified scheme for implementing an interior point algorithm (IPM) over a range of computer architectures. In the inner iteration of the IPM a search direction is computed using Newton's method.
Levkovitz, R +3 more
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An algorithm for rescaling a matrix positive definite [PDF]
Linear Algebra and its Applications, 1987 Given a square matrix M, find D diagonal, so that DM is positive definite, i.e. has its field of values in the right half plane. Here it is shown that this problem can be formulated as an infinite set of linear inequalities, and solved by solving a finite sequence of linear programming problems.
Hu, Hui
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The scheduling of sparse matrix-vector multiplication on a massively parallel dap computer [PDF]
, 1991 An efficient data structure is presented which supports general unstructured sparse matrix-vector multiplications on a Distributed Array of Processors (DAP). This approach seeks to reduce the inter-processor data movements and organises the operations in
Mitra, G, Parkinson, D, Andersen, J
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Minimizing the condition number of a positive definite matrix by completion [PDF]
, 1994 Elsner L, He C, Mehrmann V. Minimizing the condition number of a positive definite matrix by completion. Numerische Mathematik. 1994;69(1):17-23.We consider the problem of minimizing the spectral condition number of a positive definite matrix by ...
Mehrmann, Volker +2 more
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On mixed discriminants of positively definite matrix
Ars Mathematica Contemporanea, 2015 In the paper, some new inequalities for the mixed discriminants of positively definite matrix are established, which are the matrix analogues of inequalities of the well-known mixed volumes function.
Li, Xiao-Yan, Zhao, Chang-Jian
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On the positive definite solutions of a nonlinear matrix equation [PDF]
2012 4th Electronic System-Integration Technology Conference, 2012 In this paper, the nonlinear matrix equation is investigated. Based on the fixed-point theory, the boundary and the existence of the solution with the case are discussed. An algorithm that avoids matrix inversion with the case is proposed.
Ming Hui Wang +2 more
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