Results 291 to 300 of about 429,197 (329)

Conditionally Positive Definite Matrix Valued Kernels on Euclidean Spaces

Constructive Approximation, 2019
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Guella, J. C., Menegatto, V. A.
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On positive definite solution of a nonlinear matrix equation

Numerical Linear Algebra with Applications, 2006
AbstractIn this paper, some necessary and sufficient conditions for the existence of the positive definite solutions for the matrix equationX+A*X−αA=Qwith α ∈ (0, ∞) are given. Iterative methods to obtain the positive definite solutions are established and the rates of convergence of the considered methods are obtained. Copyright © 2006 John Wiley &
Peng, Zhen-yun, El-Sayed, Salah M.
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On Hankel Positive Definite Perturbations of Hankel Positive Definite Sequences and Interrelations to Orthogonal Matrix Polynomials

Complex Analysis and Operator Theory, 2014
The authors study how orthogonal matrix polynomials and related second kind polynomials which correspond to sequences generated by right(left)-sided \(\alpha\)-shifting [\textit{B. Fritzsche} et al., Linear Algebra Appl. 439, No. 12, 3893--3933 (2013; Zbl 1283.44003)] or by ``two-sided'' \(a-b\)-shifting are connected with polynomials generated by the ...
Rivero, Abdon E. Choque, Mädler, Conrad
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The Cicchetti–Allison weighting matrix is positive definite

Computational Statistics & Data Analysis, 2013
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Multisplitting preconditioners for a symmetric positive definite matrix

Journal of Applied Mathematics and Computing, 2006
The authors consider certain multisplitting methods for linear system \(Ax=b\) where \(A\) is a symmetric positive definite matrix which is not an H-matrix, and prove a number of convergence results for various factorizations of the matrix \(A\).
Yun, Jae Heon, Kim, Eun Heui, Oh, Seyoung   +2 more
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Positive definite matrix approximation with condition number constraint

Optimization Letters, 2013
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Mirai TANAKA, Kazuhide Nakata
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Factorization of positive definite rational matrix functions

2010
The central theme of this chapter is the state space analysis of rational matrix functions with Hermitian values either on the real line, on the imaginary axis, or on the unit circle. The main focus will be on rational matrix functions that take positive definite values on one of these contours.
Harm Bart, Marinus A. Kaashoek, André C. M. Ran   +2 more
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On positive definite solution of nonlinear matrix equations

Linear and Multilinear Algebra, 2017
AbstractIn this article, we present a sufficient condition for the existence of a unique positive definite solution of the non-linear matrix equation , where , (the set of all Hermitian positive definite matrices), are non-singular matrices and are order-preserving mappings. We give an example of a non-linear matrix equation of the above form (, A is a
Sk. Monowar Hossein, Snehasish Bose, Kallol Paul   +2 more
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Positive definite solution of a nonlinear matrix equation

Journal of Fixed Point Theory and Applications, 2016
The authors use fixed-point theory to present a sufficient condition for the existence of a positive definite solution of the nonlinear matrix equation \(X=Q\pm\sum_{i1}^m A_i^* F(X)A_i\), where \(Q\) is a positive definite matrix, \(A_i\)'s are arbitrary \(n\times n\) matrices and \(F\) is a monotone map from the set of positive definite matrices to ...
Bose, Snehasish, Hossein, Sk. Monowar, Paul, Kallol   +2 more
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The approximate factorization of positive-definite matrix functions

Russian Mathematical Surveys, 1999
It is well known that the prediction problem for a stationary process can be reduced to that of factorizing a positive-definite matrix function \(S(t)\) as \(S(t)= \chi^+(t)\cdot(\chi^+(t))^*\), \(|t|= 1\), where \(\chi^+\) is an outer analytic matrix function with entries of Hardy class \(H_2\) and \(^*\) denotes the Hermitian conjugate.
Janashia, G. A., Lagvilava, E. T., Epremidze, L. N.   +2 more
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