TESTING/LIN/ctrt06.f(3)

🌸 NAME 🌸

TESTING/LIN/ctrt06.f — that's the file, bestie. This page comes from the Library Functions Manual, and it’s giving very niche Fortran testing energy 💅.

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✨ SYNOPSIS ✨

🌈 Functions/Subroutines 🌈

       subroutine ctrt06 (rcond, rcondc, uplo, diag, n, a, lda, rwork, rat)
           CTRT06

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🦋 Function/Subroutine Documentation 🦋

okay so here’s the exact signature, no cap:

   subroutine ctrt06 (real rcond, real rcondc, character uplo, character diag,
       integer n, complex, dimension( lda, * ) a, integer lda, real, dimension(
       * ) rwork, real rat)
       CTRT06

💖 Purpose 💖

CTRT06 computes a test ratio comparing RCOND — the reciprocal condition number of a triangular matrix A — and RCONDC, which is the estimate computed by CTRCON. Info about the triangular matrix A gets used when one estimate is zero and the other is non-zero, so it can decide if underflow in the estimate is justified. slay, honestly 🎀

🎀 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 CTRCON.
• 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.
• A — COMPLEX array, dimension (LDA,N). The triangular matrix A. If UPLO = 'U', the leading n by n upper triangular part of the array A contains the upper triangular matrix, and the strictly lower triangular part of A is not referenced. If UPLO = 'L', the leading n by n lower triangular part of the array A contains the lower triangular matrix, and the strictly upper triangular part of A is not referenced. If DIAG = 'U', the diagonal elements of A are also not referenced and are assumed to be 1.
• LDA — INTEGER. The leading dimension of the array A. LDA >= max(1,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 120 of file ctrt06.f.

Generated automatically by Doxygen for LAPACK from the source code.

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okay bye bestie 🫶 this was LAPACK Version 3.12.0, page TESTING/LIN/ctrt06.f(3) — mwah 💋✨