SRC/zla_gerpvgrw.f(3)

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💖 SRC/zla_gerpvgrw.f(3) 💖

Hey bestie, welcome to this page from the Library Functions Manual — it's all about SRC/zla_gerpvgrw.f, and no cap, we're keeping every detail. 🫶

✨ NAME ✨

SRC/zla_gerpvgrw.f — literally the file this whole page is about, periodt. 💅

✨ SYNOPSIS ✨

🫶 Functions/Subroutines 🫶

double precision function zla_gerpvgrw (n, ncols, a, lda, af, ldaf)

ZLA_GERPVGRW multiplies a square real matrix by a complex matrix. That's the summary, bestie — iconic behavior. 🌸

🧚 Function/Subroutine Documentation 🧚

double precision function zla_gerpvgrw (integer n, integer ncols,
     complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension(
     ldaf, * ) af, integer ldaf)

ZLA_GERPVGRW multiplies a square real matrix by a complex matrix. Yes, it's giving "I do one thing and I do it well." 💜

🎀 Purpose 🎀

ZLA_GERPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U). The norm is used. If this is much less than 1, the stability of the LU factorization of the (equilibrated) matrix A could be poor. This also means that the solution X, estimated condition numbers, and error bounds could be unreliable.

So basically: if that factor is way less than 1, the LU factorization of the equilibrated matrix A might be unstable, and the solution X, the estimated condition numbers, and the error bounds might not be trustworthy. 🫠💀

🌸 Parameters 🌸

  • N — N is INTEGER. The number of linear equations, i.e., the order of the matrix A. N >= 0. 💖
  • NCOLS — NCOLS is INTEGER. The number of columns of the matrix A. NCOLS >= 0. ✨
  • A — A is COMPLEX*16 array, dimension (LDA,N). On entry, the N-by-N matrix A. 🎀
  • LDA — LDA is INTEGER. The leading dimension of the array A. LDA >= max(1,N). 🦋
  • AF — AF is COMPLEX*16 array, dimension (LDAF,N). The factors L and U from the factorization A = P*L*U as computed by ZGETRF. 🔥
  • LDAF — LDAF is INTEGER. The leading dimension of the array AF. LDAF >= max(1,N). 🌈

👑 Author 👑

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

Definition at line 98 of file zla_gerpvgrw.f. 📍

🌈 Author 🌈

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