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---
:name: clapll
:md5sum: bc1696c79251fc14dc4c23739749cff4
:category: :subroutine
:arguments:
- n:
:type: integer
:intent: input
- x:
:type: complex
:intent: input/output
:dims:
- 1+(n-1)*incx
- incx:
:type: integer
:intent: input
- y:
:type: complex
:intent: input/output
:dims:
- 1+(n-1)*incy
- incy:
:type: integer
:intent: input
- ssmin:
:type: real
:intent: output
:substitutions: {}
:fortran_help: " SUBROUTINE CLAPLL( N, X, INCX, Y, INCY, SSMIN )\n\n\
* Purpose\n\
* =======\n\
*\n\
* Given two column vectors X and Y, let\n\
*\n\
* A = ( X Y ).\n\
*\n\
* The subroutine first computes the QR factorization of A = Q*R,\n\
* and then computes the SVD of the 2-by-2 upper triangular matrix R.\n\
* The smaller singular value of R is returned in SSMIN, which is used\n\
* as the measurement of the linear dependency of the vectors X and Y.\n\
*\n\n\
* Arguments\n\
* =========\n\
*\n\
* N (input) INTEGER\n\
* The length of the vectors X and Y.\n\
*\n\
* X (input/output) COMPLEX array, dimension (1+(N-1)*INCX)\n\
* On entry, X contains the N-vector X.\n\
* On exit, X is overwritten.\n\
*\n\
* INCX (input) INTEGER\n\
* The increment between successive elements of X. INCX > 0.\n\
*\n\
* Y (input/output) COMPLEX array, dimension (1+(N-1)*INCY)\n\
* On entry, Y contains the N-vector Y.\n\
* On exit, Y is overwritten.\n\
*\n\
* INCY (input) INTEGER\n\
* The increment between successive elements of Y. INCY > 0.\n\
*\n\
* SSMIN (output) REAL\n\
* The smallest singular value of the N-by-2 matrix A = ( X Y ).\n\
*\n\n\
* =====================================================================\n\
*\n"
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