TESTING/LIN/ztrt06.f(3)

📦
version 3.12.1 · 3 versions
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🌸 NAME 🌸

Welcome to the Library Functions Manual page for TESTING/LIN/ztrt06.f(3). TESTING/LIN/ztrt06.f — okay bestie, this is the file page for the ztrt06 subroutine. It's a LAPACK testing routine that compares condition-number estimates for a triangular matrix, and it's lowkey iconic in a "I live in TESTING/LIN" way. 💅

✨ SYNOPSIS ✨

🧸 Functions/Subroutines 🧸

       subroutine ztrt06 (rcond, rcondc, uplo, diag, n, a, lda, rwork, rat)
           ZTRT06

🎀 Function/Subroutine Documentation 🎀

       subroutine ztrt06 (double precision rcond, double precision rcondc,
       character uplo, character diag, integer n, complex*16, dimension( lda, *
       ) a, integer lda, double precision, dimension( * ) rwork, double
       precision rat)
       ZTRT06

💡 Purpose 💡

ZTRT06 computes a test ratio comparing RCOND (the reciprocal condition number of a triangular matrix A) and RCONDC, the estimate computed by ZTRCON. Information about the triangular matrix A is used if one estimate is zero and the other is non-zero to decide if underflow in the estimate is justified. 🫶

🧾 Parameters 🧾

  • RCOND — DOUBLE PRECISION. This is the estimate of the reciprocal condition number you get by forming the explicit inverse of matrix A and computing RCOND = 1/( norm(A) * norm(inv(A)) ). Slay. 💖
  • RCONDC — DOUBLE PRECISION. This is the estimate of the reciprocal condition number computed by ZTRCON. That's the other estimate in the group chat. ✨
  • UPLO — CHARACTER. Specifies whether matrix A is upper or lower triangular: 'U' means upper triangular; 'L' means lower triangular. Pick your triangle era. 💅
  • DIAG — CHARACTER. Specifies whether or not matrix A is unit triangular: 'N' means non-unit triangular; 'U' means unit triangular. No cap. 🎀
  • N — INTEGER. The order of matrix A. Condition: N >= 0. 🦋
  • A — COMPLEX*16 array, dimension (LDA,N). This is 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. Read that twice, bestie — the unreferenced parts really do not get read. 👑
  • LDA — INTEGER. The leading dimension of array A. Condition: LDA >= max(1,N). 🌈
  • RWORK — DOUBLE PRECISION array, dimension (N). Just the array spec, no extra lore. 🍓
  • RAT — 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. Zero means they matched exactly — periodt. 💀

👑 Author 👑

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

Definition at line 120 of file ztrt06.f. ⭐

📝 Author 📝

Generated automatically by Doxygen for LAPACK from the source code. 🫶

mwah 💋 — this page is from LAPACK Version 3.12.0 and it's the TESTING/LIN/ztrt06.f(3) manual page. Catch you in the next condition-number comparison, bestie. 🎀

📦 where this page comes from