positive definite matrix solution
Computing Centre Newsletter No. 22, June 1978
... INVERSION OF MATRIX- POSITIVE DEFINITE- SYMMETRIC BAND MATRIX SYMMETRIC BAND STORAGE MODE SPACE ECONOMIZER SOLUTION.. PSEUDO INVERSE OF A MATRIX..[r] ...
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Necessary and Sufficient Conditions for the Existence of a Positive Definite Solution for the Matrix Equation X+A* X-2 A+B* X-2B=I
... [9] M. A. Ramadan, “ Necessary and Sufficient Conditions to the Existence of Positive definite Solution of the Matrix Equation X A T X 2 A I ,” Inter. J. Computer Math., Vol.82, No.7 ...
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Online Full Text
... linear matrix equation of the form ...a positive definite solution of the linear matrix equation are ...a positive definite solution are derived for ...
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Investigation of the existence and uniqueness of extremal and positive definite solutions of nonlinear matrix equations
... and r, m are positive integers. For the first equation (plus case), we prove the existence of positive definite solutions and extremal solutions. Two algorithms and proofs of their convergence to the extremal ...
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Hybrid Methods for Optimization Problems with Positive. Semi Definite Matrix Constraints
... some matrix, defined in terms of the problem variables, has to be positive ...the matrix is ...the solution which is usually the case, such a constraint is usually non–smooth, and this ...
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Sum of squared logarithms an inequality relating positive definite matrices and their matrix logarithm
... in matrix analysis and the conditions in the form () had been deduced in the course of that ...the matrix problem suggested the sum of squared logarithms ...the matrix logarithm as possibly mul- ...
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Positive Definite Solutions for the System of Nonlinear Matrix Equations X + A*Y nA = I, Y + B*X mB = I
... X = V XV ∗ + − Q V XB + A R + B XB − B XV + A (1.2) In addition, the system (Sys.) of algebraic discrete-type Riccati equations appears in many applications [9]-[12]. Czornik and Swierniak [10] have studied the lower ...
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On The Frobenius Condition Number of Positive Definite Matrices
... for matrix inversion with respect to the matrix norm ...any matrix norm see, ...nonsingular matrix A plays an important role in the numerical solution of linear systems since it ...
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A note on the Frobenius conditional number with positive definite matrices
... of matrix μ(A) with respect to the matrix norm || · ...any matrix norm (see, ...nonsingular matrix A plays an impor- tant role in the numerical solution of linear systems since it ...
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On p and q Horn’s Matrix Function of Two Complex Variables
... hypergeometric matrix function has been introduced as a matrix power series and an integral ...hypergeometric matrix function F A B C z ( , ; ; ) , the hypergeometric matrix differential ...
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An Iterative Method for Solving the Matrix Equation X-A^{*}XA-B^{*}X^{-1}B=I
... a positive definite solution of the matrix equation X − A ∗ XA − B ∗ X −1 B = I ...a positive definite solution of the considered ...
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On Positive Definite Solutions of Nonlinear Matrix Equation X A*X( 1)A = I
... the solution of X +A ∗ X −1 A = ...of positive definite solutions of (2) in ...maximal positive definite solution of (2) were ...
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Unconditionally stable scheme for Riccati equation
... the matrix Riccati equa- ...a solution compatible with the property that solution of Riccati equation is a definite positive matrix have been ...the matrix case and we ...
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Positive Definite Sparse Precision Matrix Estimation
... precision matrix is increasingly becoming a crucial question in many ...precision matrix has two difficulty: 1) sparsity of estimator; (ii) the positive-definiteness ...
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POSITIVE DEFINITE FUNCTIONS AND SHARP INEQUALITIES FOR PERIODIC FUNCTIONS
... of positive definite functions in obtaining sharp inequalities for trigonometric polyno- mials and entire functions is well known (see, for instance, Boas [6, ...the positive definiteness of the ...
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On some trace inequalities for positive definite Hermitian matrices
... a positive definite Hermitian matrix, we investigate the trace inequalities of ...deformed matrix, according to some properties of positive definite Hermitian matrices and some elementary ...
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Integrals of Four Variables with Statistical Distribution associated with hyper geometric Function of Matrix Argument
... of matrix argument with their statistical ...real positive definite symmetric of order m x ...introducing matrix sequences, matrix series, and concepts analogous to convergence of ...
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Matrix Exponentiated Gradient Updates for On-line Learning and Bregman Projection
... the constraints. It is well known that the Bregman projection into the intersection of convex re- gions can be solved by sequential projections to each region (Bregman, 1967; Censor and Lent, 1981). In the original ...
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Matrices whose hermitian part is positive definite
... OF HADAMARD'S INEQUALITY The inequality of Hadamard [24] holds for a matrix in MnC when the absolute value of its determinant is dominated ~ by the absolute value of the product of its [r] ...
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Darboux transformation and perturbation of linear functionals
... monic Jacobi matrix associated with L is based on one step of the LR-algorithm or Darboux transformation without parameter. There are several contributions in such a direction; for instance, the works by Galant ...
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