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 == | ||
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 | |||
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.