CLAPLL (3) - Linux Man Pages
subroutine clapll (integerN, complex, dimension( * )X, integerINCX, complex, dimension( * )Y, integerINCY, realSSMIN)
CLAPLL measures the linear dependence of two vectors.
Given two column vectors X and Y, let A = ( X Y ). The subroutine first computes the QR factorization of A = Q*R, and then computes the SVD of the 2-by-2 upper triangular matrix R. The smaller singular value of R is returned in SSMIN, which is used as the measurement of the linear dependency of the vectors X and Y.
N is INTEGER The length of the vectors X and Y.
X is COMPLEX array, dimension (1+(N-1)*INCX) On entry, X contains the N-vector X. On exit, X is overwritten.
INCX is INTEGER The increment between successive elements of X. INCX > 0.
Y is COMPLEX array, dimension (1+(N-1)*INCY) On entry, Y contains the N-vector Y. On exit, Y is overwritten.
INCY is INTEGER The increment between successive elements of Y. INCY > 0.
SSMIN is REAL The smallest singular value of the N-by-2 matrix A = ( X Y ).
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
- September 2012
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