DSPF_sp_cholesky_solver_cmplx
[DSPF_sp_cholesky_in_place_cmplx]

Collaboration diagram for DSPF_sp_cholesky_solver_cmplx:

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Detailed Description

int	DSPF_sp_cholesky_solver_cmplx (const int Nrows, float *restrict L, float *restrict y, float *restrict b, float *restrict x)

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Function Documentation

int DSPF_sp_cholesky_solver_cmplx	(	const int	Nrows,
		float *restrict	L,
		float *restrict	y,
		float *restrict	b,
		float *restrict	x
	)

This function solves A*x=b for x using forward and backward substitution using the decomposed lower triangular matrix L as shown in the following steps. The values stored in the matrices are assumed to be float precision floating point values. 1. A*x = L*U*b = L*L_transpose*x = b 2. y = inverse(L)*b - done using forward substitution 3. x = inverse(L_transpose)*y - done using backward substitution

Parameters:

	Nrows	= Nrows of square matrix A
	L	= pointer to input square matrix A[Nrows*2*Nrows]
	y	= pointer to intermediate vector y[2*Nrows]
	b	= pointer to input vector b[2*Nrows]
	x	= pointer to output vector x[2*Nrows]

Algorithm:

DSPF_sp_cholesky_cmplx_cn.c is the natural C equivalent of the optimized intrinsic C code without restrictions. Note that the intrinsic C code is optimized and restrictions may apply.

Assumptions:

1. The decomposed lower triangular matrix L is available as input.
2. The arrays consist of complex number entries with alternating real and imaginary parts: real0,imag0,real1,imag1,...

Implementation Notes:

Interruptibility : The code is interruptible.
Endian support : supports both Little and Big endian modes.

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Copyright 2014, Texas Instruments Incorporated