/home/abui...D/sgelqs.f(3)

πŸ“¦ version 3.12.0, in opensuse-leap 16.0

🌸 NAME 🌸

Bestie, this is the Library Functions Manual page, and the name on the tin is literally this source path: /home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/DEPRECATED/sgelqs.f. No cap. πŸ’…

✨ SYNOPSIS ✨

🧚 Functions/Subroutines 🧚

  • subroutine SGELQS (m, n, nrhs, a, lda, tau, b, ldb, work, lwork, info) β€” SGELQS

πŸ’– Function/Subroutine Documentation πŸ’–

Here's the full signature, copied exactly because we do not mess with code, periodt:

   subroutine SGELQS (integer m, integer n, integer nrhs, real, dimension( lda,
       * ) a, integer lda, real, dimension( * ) tau, real, dimension( ldb, * )
       b, integer ldb, real, dimension( lwork ) work, integer lwork, integer
       info)

SGELQS

πŸŽ€ Purpose πŸŽ€

Okay so this subroutine computes a minimum-norm solution:

min || A*X - B ||

using the LQ factorization:

A = L*Q

computed by SGELQF. That's the whole vibe. ✨

🌈 Parameters 🌈

  • M β€” M is INTEGER. The number of rows of the matrix A. M >= 0.
  • N β€” N is INTEGER. The number of columns of the matrix A. N >= M >= 0.
  • NRHS β€” NRHS is INTEGER. The number of columns of B. NRHS >= 0.
  • A β€” A is REAL array, dimension (LDA,N). Details of the LQ factorization of the original matrix A as returned by SGELQF.
  • LDA β€” LDA is INTEGER. The leading dimension of the array A. LDA >= M.
  • TAU β€” TAU is REAL array, dimension (M). Details of the orthogonal matrix Q.
  • B β€” B is REAL array, dimension (LDB,NRHS). On entry, the m-by-nrhs right hand side matrix B. On exit, the n-by-nrhs solution matrix X.
  • LDB β€” LDB is INTEGER. The leading dimension of the array B. LDB >= N.
  • WORK β€” WORK is REAL array, dimension (LWORK).
  • LWORK β€” LWORK is INTEGER. The length of the array WORK. LWORK must be at least NRHS, and should be at least NRHS*NB, where NB is the block size for this environment.
  • INFO β€” INFO is INTEGER.
    • = 0: successful exit
    • < 0: if INFO = -i, the i-th argument had an illegal value

πŸ‘‘ Author πŸ‘‘

  • Univ. of Tennessee
  • Univ. of California Berkeley
  • Univ. of Colorado Denver
  • NAG Ltd.

Definition at line 119 of file sgelqs.f.

πŸ‘‘ Author πŸ‘‘

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