ZTPT06(3)

💖 NAME 💖

okay so bestie, welcome to the Library Functions Manual page for ztpt06.f(3) — the header is giving very specific path energy, and the NAME entry is literally this path, no cap:

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/ztpt06.f

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✨ SYNOPSIS ✨

🦋 Functions/Subroutines 🦋

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

ZTPT06 — that's our main character. 💅

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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, again, because she's iconic. 👑

🎀 Purpose 🎀

ZTPT06 computes a test ratio comparing RCOND — the reciprocal condition number of the triangular matrix A — and RCONDC, the estimate computed by ZTPCON. Information about the triangular matrix is used if one estimate is zero and the other is non-zero, to decide if underflow in the estimate is justified. 🫶

💜 Parameters 💜

🍓 RCOND

RCOND is DOUBLE PRECISION. It's the estimate of the reciprocal condition number obtained by forming the explicit inverse of the 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. Specifies whether the matrix A is upper or lower triangular.

• = 'U': Upper triangular
• = 'L': Lower triangular

🍓 DIAG

DIAG is CHARACTER. Specifies whether or not the matrix A is unit triangular.

• = 'N': Non-unit triangular
• = 'U': Unit triangular

🍓 N

N is INTEGER. The order of the matrix A. N >= 0.

🍓 AP

AP is COMPLEX*16 array, dimension (N*(N+1)/2). 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,

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.

💫 Author 💫

Generated automatically by Doxygen for LAPACK from the source code.

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💖 okay that's the whole page, bestie! This one's from LAPACK, version 3.12.0, and the footer path is /home/abui...IN/ztpt06.f(3). Byeee! 💅✨