CTPT06(3)

💖 NAME 💖

okay so bestie, this page is CTPT06, from the Library Functions Manual ✨. The file path is literally:

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/ctpt06.f

No cap, that's the whole path.

🎀 SYNOPSIS 🎀

🧚 Functions/Subroutines 🧚

subroutine CTPT06 (rcond, rcondc, uplo, diag, n, ap, rwork, rat)
    CTPT06

✨ Function/Subroutine Documentation ✨

subroutine CTPT06 (real rcond, real rcondc, character uplo, character diag,
       integer n, complex, dimension( * ) ap, real, dimension( * ) rwork, real
       rat)
       CTPT06

🎯 Purpose 🎯

CTPT06 computes a test ratio comparing RCOND (the reciprocal condition number of the triangular matrix A) and RCONDC, the estimate computed by CTPCON. It uses information about the triangular matrix if one estimate is zero and the other is non-zero, to decide if underflow in the estimate is justified. 💅

💅 Parameters 💅

• RCOND — REAL. 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 — REAL. The estimate of the reciprocal condition number computed by CTPCON.
• UPLO — CHARACTER. Specifies whether the matrix A is upper or lower triangular. = 'U': Upper triangular; = 'L': Lower triangular.
• DIAG — CHARACTER. Specifies whether or not the matrix A is unit triangular. = 'N': Non-unit triangular; = 'U': Unit triangular.
• N — INTEGER. The order of the matrix A. N >= 0.
• AP — COMPLEX 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 — REAL array, dimension (N).
• RAT — REAL. 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 ctpt06.f.

🫶 Author 🫶

Generated automatically by Doxygen for LAPACK from the source code.

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Mwah 💋 — footer sign-off: LAPACK Version 3.12.0, path /home/abui...IN/ctpt06.f(3). No date listed in the footer, so I’m not inventing one. That’s the sign-off, periodt. 🎀