SRC/cla_gerpvgrw.f(3)

💖 SRC/cla_gerpvgrw.f(3) 💖

Library Functions Manual energy, bestie — we’re on the cla_gerpvgrw page and every single detail is coming with us. No cap. ✨

✨ NAME ✨

SRC/cla_gerpvgrw.f

✨ SYNOPSIS ✨

🧚 Functions/Subroutines 🧚

real function cla_gerpvgrw (n, ncols, a, lda, af, ldaf)

CLA_GERPVGRW multiplies a square real matrix by a complex matrix.

🎀 Function/Subroutine Documentation 🎀

real function cla_gerpvgrw (integer n, integer ncols, complex, dimension(
    lda, * ) a, integer lda, complex, dimension( ldaf, * ) af, integer ldaf)

CLA_GERPVGRW multiplies a square real matrix by a complex matrix.

🎯 Purpose 🎯

Okay so the purpose block says CLA_GERPVGRW computes the reciprocal pivot growth factor norm(A)/norm(U). It also literally says 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. 🫶

📋 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 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 array, dimension (LDAF,N). The factors L and U from the factorization A = P*L*U as computed by CGETRF.
• 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 97 of file cla_gerpvgrw.f.

🌈 Author 🌈

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