TESTING/LIN/ztpt06.f(3)

💖 NAME 💖

TESTING/LIN/ztpt06.f — that's the name, bestie, and yes, the whole page is lowkey about this one file. 🎀

Okay so this is the TESTING/LIN/ztpt06.f(3) page, and the manual name is Library Functions Manual — folded in right here because we're not doing a boring header copy-paste. 💅

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✨ SYNOPSIS ✨

Functions/Subroutines

• subroutine ztpt06 (rcond, rcondc, uplo, diag, n, ap, rwork, rat) — ZTPT06

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🦋 Function/Subroutine Documentation 🦋

subroutine ztpt06 (double precision rcond, double precision rcondc,
     character uplo, character diag, integer n, complex*16, dimension( * )
     ap, double precision, dimension( * ) rwork, double precision rat)

ZTPT06

🎀 Purpose 🎀

Okay so here's the vibe: ZTPT06 computes a test ratio that compares RCOND — the reciprocal condition number of the triangular matrix A — with RCONDC, which is the estimate computed by ZTPCON. It's giving "are these two numbers actually matching?" energy. 🔥

Information about the triangular matrix gets used when one estimate is zero and the other is non-zero, so the routine can decide if underflow in the estimate is justified. No cap, that's the whole purpose. ✨

🌸 Parameters 🌸

• RCOND — RCOND is DOUBLE PRECISION. It's the estimate of the reciprocal condition number obtained by forming the explicit inverse of matrix A and computing RCOND = 1/( norm(A) * norm(inv(A)) ). 💖
• RCONDC — RCONDC is DOUBLE PRECISION. It's the estimate of the reciprocal condition number computed by ZTPCON. 🦋
• UPLO — UPLO is CHARACTER. Tells you whether matrix A is upper or lower triangular: = 'U': Upper triangular, = 'L': Lower triangular. 🌸
• DIAG — DIAG is CHARACTER. Tells you whether matrix A is unit triangular or not: = 'N': Non-unit triangular, = 'U': Unit triangular. 💜
• N — N is INTEGER. The order of matrix A. N >= 0. ⭐
• AP — AP is COMPLEX*16 array, dimension (N*(N+1)/2). This is the upper or lower triangular matrix A, packed columnwise in a linear array. The j-th column of A is stored in the array AP as follows:

if UPLO = 'U', AP((j-1)*j/2 + i) = A(i,j) for 1<=i<=j;
if UPLO = 'L',
   AP((j-1)*(n-j) + j*(j+1)/2 + i-j) = A(i,j) for j<=i<=n.

• RWORK — RWORK is DOUBLE PRECISION array, dimension (N). 🧚
• RAT — RAT is DOUBLE PRECISION. The test ratio. If both RCOND and RCONDC are nonzero, then RAT = MAX( RCOND, RCONDC )/MIN( RCOND, RCONDC ) - 1. If RAT = 0, the two estimates are exactly the same. 👑

💜 Author 💜

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

📌 Definition at line 111 of file ztpt06.f. 📌

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👑 Author 👑

Generated automatically by Doxygen for LAPACK from the source code.

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Okay bestie, footer sign-off time: this is from LAPACK, Version 3.12.0, and the page tag is TESTING/LIN/ztpt06.f(3). The footer doesn't print a separate date, so I'm not making one up — that would be fake news, and we don't do that here. 💖✨🎀