Results 221 to 230 of about 43,930 (262)

Triangularization of a positive definite matrix on a parallel computer

Journal of Parallel and Distributed Computing, 1986
Abstract The problem of computing the triangular factors of a square, real, symmetric, and positive definite matrix by using the facilities of a multiprocessor MIMD-type computer is considered. The parallel algorithms based on Cholesky decomposition and Gaussian elimination are derived and analyzed in terms of their speedup and efficiency, when the ...
Swarn P. Kumar, Janusz S. Kowalik
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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 &
Zhen-Yun Peng, Salah M. El-Sayed
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The Cicchetti–Allison weighting matrix is positive definite

Computational Statistics & Data Analysis, 2013
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Preserving Positive Definiteness in Hierarchically Semiseparable Matrix Approximations

SIAM Journal on Matrix Analysis and Applications, 2018
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Xin Xing, Edmond Chow
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Practical criteria for positive-definite matrix, M-matrix and Hurwitz matrix

Applied Mathematics and Computation, 2007
A new simple criterion is presented to verify if a matrix is positive definite, an \(M\)-matrix, or a Hurwitz matrix. It is based on the Gauss row elimination using inner and sign-preserving row operations. The computation of only one determinant is necessary.
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Identification of a Positive Definite Mass Matrix

Journal of Vibration and Acoustics, 1988
In system identification it is important that any a priori information about the system is utilized in the processing of measured data. Structural vibration problems can be modelled in terms of mass, stiffness, and damping and it is usually the case that the mass matrix is positive definite.
John E. Mottershead, T. K. Tee, A. W. Lees   +2 more
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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 Hermitian Positive Definite Solution of the Nonlinear Matrix Equation

International Journal of Nonlinear Sciences and Numerical Simulation, 2017
Abstract: In this paper, we study the nonlinear matrix equation X s
Zhang, Xindong, Feng, Xinlong
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A positive-definite matrix which is not extendible

IEEE Transactions on Acoustics, Speech, and Signal Processing, 1984
This note treats the problem of extendibility of a positive-definite matrix. The difference between extendibility and positive- semidefiniteness in multiple dimensions is described. The construction of a positive definite nonextendible correlation matrix is also given.
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Integral representation of invariant positive-definite matrix kernels

Ukrainian Mathematical Journal, 1970
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Samoĭlenko, Yu. S., Korsunskiĭ, L. M.
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