Simon Ford
CMSIS DSP Library from CMSIS 2.0. See http://www.onarm.com/cmsis/ for full details
Dependents: K22F_DSP_Matrix_least_square BNO055-ELEC3810 1BNO055 ECE4180Project--Slave2 ... more
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. | |
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 till 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.
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] *pSrc points to input matrix structure [out] *pDst points to output matrix structure
- Returns:
- The function returns
ARM_MATH_SIZE_MISMATCHif 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 returnsARM_MATH_SINGULAR. Otherwise, the function returnsARM_MATH_SUCCESS.
Definition at line 71 of file arm_mat_inverse_f32.c.
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