ZLAPLL - Online Linux Manual PageSection : 1
Updated : November 2008
Source : LAPACK auxiliary routine (version 3.2)
Note : LAPACK auxiliary routine (version 3.2)

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NAMEZLAPLL - two column vectors X and Y, let A = ( X Y )

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SYNOPSISSUBROUTINE ZLAPLL(  N, X, INCX, Y, INCY, SSMIN )  INTEGER INCX, INCY, N  DOUBLE PRECISION SSMIN  COMPLEX*16 X( * ), Y( * )

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PURPOSEGiven two column vectors X and Y, let 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.

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ARGUMENTSN (input) INTEGER  The length of the vectors X and Y. X (input/output) COMPLEX*16 array, dimension (1+(N-1)*INCX)  On entry, X contains the N-vector X. On exit, X is overwritten. INCX (input) INTEGER  The increment between successive elements of X. INCX > 0. Y (input/output) COMPLEX*16 array, dimension (1+(N-1)*INCY)  On entry, Y contains the N-vector Y. On exit, Y is overwritten. INCY (input) INTEGER  The increment between successive elements of Y. INCY > 0. SSMIN (output) DOUBLE PRECISION  The smallest singular value of the N-by-2 matrix A = ( X Y ). 0

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