SQRT14(3)

📦 version 3.12.0, in opensuse-leap 16.0

hey bestie 💖 welcome to the Library Functions Manual page for /home/abui...IN/sqrt14.f(3) — yes, the title is a whole path, and we are respecting the main-character energy of that.

💖 NAME 💖

okay so the official NAME is literally this path, no cap:

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/sqrt14.f

✨ SYNOPSIS ✨

🦋 Functions/Subroutines 🦋

real function SQRT14 (trans, m, n, nrhs, a, lda, x, ldx, work, lwork)
    SQRT14

🌈 Function/Subroutine Documentation 🌈

real function SQRT14 (character trans, integer m, integer n, integer nrhs,
    real, dimension( lda, * ) a, integer lda, real, dimension( ldx, * ) x,
    integer ldx, real, dimension( lwork ) work, integer lwork)
    SQRT14

🎀 Purpose 🎀

okay so here's the vibe: SQRT14 checks whether X is in the row space of A or A'. it does this by scaling both X and A so their norms sit in the range [sqrt(eps), 1/sqrt(eps)], then computing a QR factorization of [A,X] if TRANS = 'T', or an LQ factorization of [A',X]' if TRANS = 'N'. then it returns the norm of the trailing triangle, scaled by MAX(M,N,NRHS)*eps. slay 💅

💅 Parameters 💅

  • TRANS — TRANS is CHARACTER*1; = 'N': no transpose, check for X in the row space of A; = 'T': transpose, check for X in the row space of A'.
  • M — M is INTEGER; the number of rows of the matrix A.
  • N — N is INTEGER; the number of columns of the matrix A.
  • NRHS — NRHS is INTEGER; the number of right hand sides, i.e., the number of columns of X.
  • A — A is REAL array, dimension (LDA,N); the M-by-N matrix A.
  • LDA — LDA is INTEGER; the leading dimension of the array A.
  • X — X is REAL array, dimension (LDX,NRHS); if TRANS = 'N', the N-by-NRHS matrix X; IF TRANS = 'T', the M-by-NRHS matrix X.
  • LDX — LDX is INTEGER; the leading dimension of the array X.
  • WORK — WORK is REAL array dimension (LWORK).
  • LWORK — LWORK is INTEGER; length of workspace array required. If TRANS = 'N', LWORK >= (M+NRHS)*(N+2); if TRANS = 'T', LWORK >= (N+NRHS)*(M+2).

👑 Author 👑

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

Definition at line 114 of file sqrt14.f.

💜 Author 💜

Generated automatically by Doxygen for LAPACK from the source code.

okay that's the whole page, bestie 🫶 it's from LAPACK Version 3.12.0, and the footer path is /home/abui...IN/sqrt14.f(3). go forth and vibe-check those matrices 💅✨

📦 where this page comes from