functioninv

Return inverse of a matrix (try to avoid inv(..))

Extends from Modelica.Icons.Function (Icon for functions).

Information

Syntax

invA = Matrices.inv(A);

Description

This function returns the inverse of matrix A, i.e., A*inv(A) = identity(size(A,1)) computed by a LU decomposition with row pivoting. Usually, this function should not be used, because there are nearly always better numerical algorithms as by computing directly the inverse. Example:

Use x = Matrices.solve(A,b) to solve the linear equation A*x = b, instead of computing the solution by x = inv(A)*b, because this is much more efficient and much more reliable.

See also

Matrices.solve Matrices.solve2

Inputs

TypeNameDefaultDescription
Real[:,size(A, 1)]A

Outputs

TypeNameDefaultDescription
Real[size(A, 1),size(A, 2)]invAInverse of matrix A