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LU Inverse

Compute inverse of square matrix using LU factorization

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  • LU Inverse block

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 Ap.

Ap−1=(LU)−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 Matrix Using the LU Inverse Block

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

Ports

Input

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

Data Types: single | double
Complex Number Support: Yes

Output

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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

Version History

Introduced before R2006a

See Also

Functions

Blocks

Topics