lapll - lapll: linear dependence of 2 vectors

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subroutineclapll(integern,complex,dimension(*)x,integerincx,complex,dimension(*)y,integerincy,realssmin)CLAPLL measures the linear dependence of two vectors. Purpose: 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. ParametersN N is INTEGER The length of the vectors X and Y. X X is COMPLEX array, dimension (1+(N-1)*INCX) On entry, X contains the N-vector X. On exit, X is overwritten. INCX INCX is INTEGER The increment between successive elements of X. INCX > 0. Y Y is COMPLEX array, dimension (1+(N-1)*INCY) On entry, Y contains the N-vector Y. On exit, Y is overwritten. INCY INCY is INTEGER The increment between successive elements of Y. INCY > 0. SSMIN SSMIN is REAL The smallest singular value of the N-by-2 matrix A = ( X Y ). Author Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. subroutinedlapll(integern,doubleprecision,dimension(*)x,integerincx,doubleprecision,dimension(*)y,integerincy,doubleprecisionssmin)DLAPLL measures the linear dependence of two vectors. Purpose: 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. ParametersN N is INTEGER The length of the vectors X and Y. X X is DOUBLE PRECISION array, dimension (1+(N-1)*INCX) On entry, X contains the N-vector X. On exit, X is overwritten. INCX INCX is INTEGER The increment between successive elements of X. INCX > 0. Y Y is DOUBLE PRECISION array, dimension (1+(N-1)*INCY) On entry, Y contains the N-vector Y. On exit, Y is overwritten. INCY INCY is INTEGER The increment between successive elements of Y. INCY > 0. SSMIN SSMIN is DOUBLE PRECISION The smallest singular value of the N-by-2 matrix A = ( X Y ). Author Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. subroutineslapll(integern,real,dimension(*)x,integerincx,real,dimension(*)y,integerincy,realssmin)SLAPLL measures the linear dependence of two vectors. Purpose: 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. ParametersN N is INTEGER The length of the vectors X and Y. X X is REAL array, dimension (1+(N-1)*INCX) On entry, X contains the N-vector X. On exit, X is overwritten. INCX INCX is INTEGER The increment between successive elements of X. INCX > 0. Y Y is REAL array, dimension (1+(N-1)*INCY) On entry, Y contains the N-vector Y. On exit, Y is overwritten. INCY INCY is INTEGER The increment between successive elements of Y. INCY > 0. SSMIN SSMIN is REAL The smallest singular value of the N-by-2 matrix A = ( X Y ). Author Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd. subroutinezlapll(integern,complex*16,dimension(*)x,integerincx,complex*16,dimension(*)y,integerincy,doubleprecisionssmin)ZLAPLL measures the linear dependence of two vectors. Purpose: 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. ParametersN N is INTEGER The length of the vectors X and Y. X X is COMPLEX*16 array, dimension (1+(N-1)*INCX) On entry, X contains the N-vector X. On exit, X is overwritten. INCX INCX is INTEGER The increment between successive elements of X. INCX > 0. Y Y is COMPLEX*16 array, dimension (1+(N-1)*INCY) On entry, Y contains the N-vector Y. On exit, Y is overwritten. INCY INCY is INTEGER The increment between successive elements of Y. INCY > 0. SSMIN SSMIN is DOUBLE PRECISION The smallest singular value of the N-by-2 matrix A = ( X Y ). Author Univ. of Tennessee Univ. of California Berkeley Univ. of Colorado Denver NAG Ltd.

lapll - lapll: linear dependence of 2 vectors

Functions subroutine clapll (n, x, incx, y, incy, ssmin) CLAPLL measures the linear dependence of two vectors. subroutine dlapll (n, x, incx, y, incy, ssmin) DLAPLL measures the linear dependence of two vectors. subroutine slapll (n, x, incx, y, incy, ssmin) SLAPLL measures the linear dependence of two vectors. subroutine zlapll (n, x, incx, y, incy, ssmin) ZLAPLL measures the linear dependence of two vectors.