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CMSIS DSP library

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Matrix Inverse
Functions

Matrix Inverse
[Matrix Functions]

Computes the inverse of a matrix. More...

Functions

arm_status arm_mat_inverse_f32 (const arm_matrix_instance_f32 *pSrc, arm_matrix_instance_f32 *pDst)
 Floating-point matrix inverse.
arm_status arm_mat_inverse_f64 (const arm_matrix_instance_f64 *pSrc, arm_matrix_instance_f64 *pDst)
 Floating-point matrix inverse.

Detailed Description

Computes the inverse of a matrix.

The inverse is defined only if the input matrix is square and non-singular (the determinant is non-zero). The function checks that the input and output matrices are square and of the same size.

Matrix inversion is numerically sensitive and the CMSIS DSP library only supports matrix inversion of floating-point matrices.

Algorithm
The Gauss-Jordan method is used to find the inverse. The algorithm performs a sequence of elementary row-operations until it reduces the input matrix to an identity matrix. Applying the same sequence of elementary row-operations to an identity matrix yields the inverse matrix. If the input matrix is singular, then the algorithm terminates and returns error status ARM_MATH_SINGULAR.
MatrixInverse.gif

Matrix Inverse of a 3 x 3 matrix using Gauss-Jordan Method

Function Documentation

arm_status arm_mat_inverse_f32 ( const arm_matrix_instance_f32 *  pSrc,
arm_matrix_instance_f32 *  pDst 
)

Floating-point matrix inverse.

end of PID group

Parameters:
[in]*pSrcpoints to input matrix structure
[out]*pDstpoints to output matrix structure
Returns:
The function returns ARM_MATH_SIZE_MISMATCH if the input matrix is not square or if the size of the output matrix does not match the size of the input matrix. If the input matrix is found to be singular (non-invertible), then the function returns ARM_MATH_SINGULAR. Otherwise, the function returns ARM_MATH_SUCCESS.

Definition at line 85 of file arm_mat_inverse_f32.c.

arm_status arm_mat_inverse_f64 ( const arm_matrix_instance_f64 *  pSrc,
arm_matrix_instance_f64 *  pDst 
)

Floating-point matrix inverse.

Parameters:
[in]*pSrcpoints to input matrix structure
[out]*pDstpoints to output matrix structure
Returns:
The function returns ARM_MATH_SIZE_MISMATCH if the input matrix is not square or if the size of the output matrix does not match the size of the input matrix. If the input matrix is found to be singular (non-invertible), then the function returns ARM_MATH_SINGULAR. Otherwise, the function returns ARM_MATH_SUCCESS.

Definition at line 85 of file arm_mat_inverse_f64.c.

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