General Linear System: Difference between revisions

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(Created page with "{{DISPLAYTITLE:General Linear System (Linear System)}} == Description == A system of linear equations (or linear system) is a collection of one or more linear equations involving the same set of variables. This is typically written in the form $Ax=b$ where $A$ is a matrix and $x, b$ are vectors. In this case, we impose no restrictions on $A$. == Related Problems == Subproblem: Sparse Linear System, Positive Definite, Hermitian Matrix, Non-Definite, Symme...")
 
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== Parameters ==  
== Parameters ==  


<pre>n: number of variables and number of equations
n: number of variables and number of equations
 
m: number of nonzero entries in matrix
m: number of nonzero entries in matrix
k: ratio between largest and smallest eigenvalues</pre>
 
k: ratio between largest and smallest eigenvalues


== Table of Algorithms ==  
== Table of Algorithms ==  

Revision as of 12:02, 15 February 2023

Description

A system of linear equations (or linear system) is a collection of one or more linear equations involving the same set of variables. This is typically written in the form $Ax=b$ where $A$ is a matrix and $x, b$ are vectors. In this case, we impose no restrictions on $A$.

Related Problems

Subproblem: Sparse Linear System, Positive Definite, Hermitian Matrix, Non-Definite, Symmetric Matrix, Toeplitz Matrix, Vandermonde Matrix

Related: Positive Definite, Hermitian Matrix, Non-Definite, Symmetric Matrix, Toeplitz Matrix, Vandermonde Matrix

Parameters

n: number of variables and number of equations

m: number of nonzero entries in matrix

k: ratio between largest and smallest eigenvalues

Table of Algorithms

Currently no algorithms in our database for the given problem.

Time Complexity graph

Linear System - General Linear System - Time.png

Space Complexity graph

Linear System - General Linear System - Space.png

Pareto Decades graph

Linear System - General Linear System - Pareto Frontier.png