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 ...
In the current article we propose a new efficient, reliable and breakdown-free algorithm for solving general opposite-bordered tridiagonal linear systems. An explicit formula for computing the ...
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 ...
As the notation suggests, we can turn a system of linear equations into a matrix equation and study it using matrix methods.
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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 ...
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