Results 21 to 30 of about 107,141 (312)

Positive Definiteness of Symmetric Rank 1 (H-Version) Update for Unconstrained Optimization

مجلة بغداد للعلوم, 2022
Several attempts have been made to modify the quasi-Newton condition in order to obtain rapid convergence with complete properties (symmetric and positive definite) of the inverse of  Hessian matrix (second derivative of the objective function).
Saad Shakir Mahmood, Jaafer Hmood Eidi, Jinan Adel Jasem   +2 more
doaj   +1 more source

Non symmetric random walk on infinite graph [PDF]

Opuscula Mathematica, 2011
We investigate properties of a non symmetric Markov's chain on an infinite graph. We show the connection with matrix valued random walk polynomials which satisfy the orthogonality formula with respect to non a symmetric matrix valued measure.
Marcin J. Zygmunt
doaj   +1 more source

A Non-Iterative Method for the Difference of Means on the Lie Group of Symmetric Positive-Definite Matrices

Mathematics, 2022
A non-iterative method for the difference of means is presented to calculate the log-Euclidean distance between a symmetric positive-definite matrix and the mean matrix on the Lie group of symmetric positive-definite matrices.
Xiaomin Duan, Xueting Ji, Huafei Sun, Hao Guo   +3 more
doaj   +1 more source

A New Symmetric Rank One Algorithm for Unconstrained Optimization [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics, 2011
In this paper, a new symmetric rank one for unconstrained optimization problems is presented. This new algorithm is used to solve symmetric and positive definite matrix.
Abbas Al-Bayati, Salah Shareef
doaj   +1 more source

k-Kernel Symmetric Matrices

International Journal of Mathematics and Mathematical Sciences, 2009
In this paper we present equivalent characterizations of k-Kernel symmetric Matrices. Necessary and sufficient conditions are determined for a matrix to be k-Kernel Symmetric. We give some basic results of kernel symmetric matrices.
A. R. Meenakshi, D. Jaya Shree
doaj   +1 more source

On symmetrizers in quantum matrix algebras

Russian Mathematical Surveys, 2023
In this note we are dealing with a particular class of quadratic algebras -- the so-called quantum matrix algebras. The well-known examples are the algebras of quantized functions on classical Lie groups (the RTT algebras). We consider the problem of constructing some projectors on homogenous components of such algebras, which are analogs of the usual ...
Gurevich, Dmitrii I., Saponov, Pavel A., Sokolov, Vladimir V.   +2 more
openaire   +3 more sources

Cauchy's interlace theorem and lower bounds for the spectral radius

International Journal of Mathematics and Mathematical Sciences, 2000
We present a short and simple proof of the well-known Cauchy interlace theorem. We use the theorem to improve some lower bound estimates for the spectral radius of a real symmetric matrix.
A. McD. Mercer, Peter R. Mercer
doaj   +1 more source

Secondary range symmetric matrices [version 2; peer review: 2 approved, 1 approved with reservations]

F1000Research
The concept of secondary range symmetric matrices is introduced here. Some characterizations as well as the equivalent conditions for a range symmetric matrix to be secondary range symmetric matrix is given.
Divya Shenoy
doaj   +1 more source

Constrained Solutions of a System of Matrix Equations

Journal of Applied Mathematics, 2012
We derive the necessary and sufficient conditions of and the expressions for the orthogonal solutions, the symmetric orthogonal solutions, and the skew-symmetric orthogonal solutions of the system of matrix equations AX=B and XC=D, respectively. When the
Qing-Wen Wang, Juan Yu
doaj   +1 more source

CONSTRUCTION AND MANAGEMENT OF MULTIVARIATE INDICES FOR CHARACTERIZING THE QUALITY OF THE MARINE COASTAL PERÚ

Pesquimat, 2014
This work proposes the minimization of bandwidth in sparse symmetric Matrix, using genetic algorithms and an oum software, developed in MS Visual Studio 6. O.
Ricardo López Guevara
doaj   +1 more source