This repository contains Python implementations for solving systems of linear equations, finding the inverse of a matrix, and performing matrix decompositions. The following methods are included: ...

The current paper is mainly devoted for solving centrosymmetric linear systems of equations. Formulae for the determinants of tridiagonal centrosymmetric matrices are obtained explicitly. Two ...

Department of Mathematics, Persian Gulf University, Bushehr, Iran. where are arbitrary matrices of order n, and in general and for In spite of that, in many practical application the coefficient ...

Most linear algebra courses start by considering how to solve a system of linear equations. \[ \begin{align} a_{0,0}x_0 + a_{0,1}x_0 + \cdots a_{0,n-1}x_0 & = b_0 ...

3. Iterative Methods for solving the EigenValue Problem: Iterative Methods known for solving the eigenvalue problem are: Rayleigh Quotient Iteration: finds the eigenvector and eigenvalue pair closest ...

Some algorithms based upon a projection process onto the Krylov subspace $K_m = \operatorname{Span}(r_0, Ar_0, \ldots, A^{m - 1}r_0)$ are developed, generalizing the ...

Abstract: Recently, in-memory analog matrix computing (AMC) with nonvolatile resistive memory has been developed for solving matrix problems in one step, e.g., matrix inversion of solving linear ...

Abstract: In this paper we consider the use of the CSR and the HYB sparse matrix storage formats in application to matrix vector multiplication to solve three dimensional (3D) problems of ...