Results 21 to 30 of about 5,394,718 (279)
A New Slack Lyapunov Functional for Dynamical System with Time Delay
Mathematics, 2022 The traditional method of constructing a Lyapunov functional for dynamical systems with time delay is usually dependent on positive definite matrices in the quadratic form.
Can Zhao +3 more
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Geometrical Inverse Preconditioning for Symmetric Positive Definite Matrices
Mathematics, 2016 We focus on inverse preconditioners based on minimizing F ( X ) = 1 − cos ( X A , I ) , where X A is the preconditioned matrix and A is symmetric and positive definite. We present and analyze gradient-type methods to minimize F ( X )
Jean-Paul Chehab, Marcos Raydan
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Revista Integración, 2022 In this paper we prove among others that, if the positive definite matrices A, B of order n satisfy the condition 0 < mIn ≤ B − A ≤ M In, for some constants 0 < m < M, where In is the identity matrix, then0 ≤ (1 − t) [det (A)]−1 + t [det (A + mIn)]−1 − [
Silvestru Sever Dragomir
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Journal of Kufa for Mathematics and Computer, 2010 In this paper, two separately methods were suggested for coding information .The first method was introduced using the directness of symmetric matrices .The contraction function was used for introducing the second method .For more complexity the ...
Adel Mohammad Hassan Rizak Al-Rammahi
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Annals of the West University of Timisoara: Mathematics and Computer Science, 2023 In this paper we prove among others that, if (Aj)j=1,...,m are positive definite matrices of order n ≥ 2 and qj ≥ 0, j = 1, ..., m with ∑j=1mqj=1$$\sum\nolimits_{j = 1}^m {{q_j} = 1} $$, then 0≤11−mini∈{1,…,m}{qi}×[∑i=1mqi(1−qi)[det(Ai)]−1−2n+1∑1 ...
Dragomir Silvestru Sever
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Dimensionality Reduction of SPD Data Based on Riemannian Manifold Tangent Spaces and Isometry
Entropy, 2021 Symmetric positive definite (SPD) data have become a hot topic in machine learning. Instead of a linear Euclidean space, SPD data generally lie on a nonlinear Riemannian manifold.
Wenxu Gao +3 more
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Positive definite completions of partial Hermitian matrices [PDF]
, 1984 The question of which partial Hermitian matrices (some entries specified, some free) may be completed to positive definite matrices is addressed. It is shown that if the diagonal entries are specified and principal minors, composed of specified entries ...
Eduardo M. Sá +7 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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On the cardinality of complex matrix scalings
Special Matrices, 2016 We disprove a conjecture made by Rajesh Pereira and Joanna Boneng regarding the upper bound on the number of doubly quasi-stochastic scalings of an n × n positive definite matrix.
Hutchinson George
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The Preconditioned SOR Iterative Method for Positive Definite Matrices
Journal of Applied Mathematics, 2013 We present several iterations for preconditioners introduced by Tarazaga and Cuellar (2009), and study the convergence of the method for solving a linear system whose coefficient matrix is positive definite matrices, and we also find that they complete ...
Yu-Qin Bai, Yan-Ping Xiao, Wei-Yuan Ma
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