LU Inverse

Compute inverse of square matrix using LU factorization

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Libraries:
DSP System Toolbox / Math Functions / Matrices and Linear Algebra / Matrix Inverses

Description

The LU Inverse block computes the inverse of the square input matrix A by factoring and inverting its row-pivoted variant A_p.

$$A_p^{-1}={\left(LU\right)}^{-1}$$

L is a lower triangular square matrix with unity diagonal elements, and U is an upper triangular square matrix. The block outputs the inverse matrix A^-1.

Examples

Find Inverse of Matrix Using the LU Inverse Block

Find inverse of a square matrix using the LU Inverse block.

• Open Model

Ports

Input

Input — Input square matrix

square matrix

Specify the input as an M-by-M square matrix.

Data Types: single | double
Complex Number Support: Yes

Output

Output — Matrix inverse

square matrix

Matrix inverse, returned as an M-by-M square matrix.

Data Types: single | double
Complex Number Support: Yes

Block Characteristics

Data Types	double | single
Direct Feedthrough	no
Multidimensional Signals	no
Variable-Size Signals	no
Zero-Crossing Detection	no

References

[1] Golub, Gene H., and Charles F. Van Loan. Matrix Computations. 3rd ed. Baltimore, MD: Johns Hopkins University Press, 1996.

Extended Capabilities

C/C++ Code Generation

Generate C and C++ code using Simulink® Coder™.

Generated code relies on the memcpy or memset function (string.h) under certain conditions.

Version History

Introduced before R2006a