Results 21 to 30 of about 6,521,824 (285)
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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Matrix-valued positive definite kernels given by expansions: strict positive definiteness [PDF]
Mathematical Inequalities & Applications, 2021 Given a nonempty set $\Omega$, the authors consider positive definite matrix-valued kernels $F:\Omega\times\Omega\to M_p(\mathbb{C})$ in the form $$ F(x,y)=\sum_{\alpha\in J}A_\alpha f_\alpha(x,y), \quad x,y\in\Omega, $$ where $J\subset\mathbb{Z}^q$ for some positive integer $q$, each $A_\alpha\in M_p(\mathbb{C})$ is a positive semidefinite matrix ...
Franca, Willian, Menegatto, V. A.
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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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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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Estimating the largest eigenvalue of a positive definite matrix [PDF]
Mathematics of Computation, 1979 The power method for computing the dominant eigenvector of a positive definite matrix will converge slowly when the dominant eigenvalue is poorly separated from the next largest eigenvalue. In this note it is shown that in spite of this slow convergence, the Rayleigh quotient will often give a good approximation to the dominant eigenvalue after a very ...
O'Leary, Dianne P. +2 more
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SMARANDACHE SPECIAL DEFINITE ALGEBRAIC STRUCTURES [PDF]
, 2009 Introducing the notion of Smarandache special definite algebraic structures, also called equivalently as Smarandache definite special algebraic structures.
Vasantha, Kandasamy
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Best Proximity Point and Existence of the Positive Definite Solution for Matrix Equations
International Journal of Analysis and Applications, 2023 In this research, α − ψ − θ contraction has been defined to find the best proximity point in partially ordered metric spaces. Proper support for the result has been given in the form of a suitable example.
Satyendra Kumar Jain +2 more
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Some trace inequalities for matrix means
Journal of Inequalities and Applications, 2016 In this short note, we present some trace inequalities for matrix means. Our results are generalizations of the ones shown by Bhatia, Lim, and Yamazaki.
Limin Zou, Yang Peng
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Use of suggested correlation matrix in factor analysis [PDF]
مجلة التربية والعلم, 2010 some variables may have nominal or ordinal scale, this causes a failure of analyzing the Pearson's correlation matrix by factor analysis. However, it was suggested to replace the elements of the correlation matrix by correlation coefficients which should
Marwan AbdulAziz Dabdoub
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