TESTING/LIN/strt06.f(3)

okay bestie, this is TESTING/LIN/strt06.f(3) from the Library Functions Manual 💖 welcome to the triangular-matrix test-ratio corner of the group chat 🫶

🌸 NAME 🌸

TESTING/LIN/strt06.f — literally the page/file name, periodt 💅

✨ SYNOPSIS ✨

Functions/Subroutines

• subroutine strt06 (rcond, rcondc, uplo, diag, n, a, lda, work, rat) — STRT06

🦋 Function/Subroutine Documentation 🦋

Here’s the whole signature, exactly as it is, no edits bestie:

   subroutine strt06 (real rcond, real rcondc, character uplo, character diag,
       integer n, real, dimension( lda, * ) a, integer lda, real, dimension( *
       ) work, real rat)

STRT06

🌟 Purpose 🌟

Okay so STRT06 computes a test ratio comparing RCOND (the reciprocal condition number of a triangular matrix A) and RCONDC, the estimate computed by STRCON. 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. That’s the whole vibe, no cap 🫶

🎀 Parameters 🎀

• RCOND — is REAL. 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 — is REAL. It’s the estimate of the reciprocal condition number computed by STRCON. ✨
• UPLO — is CHARACTER. Specifies whether the matrix A is upper or lower triangular. = 'U': Upper triangular; = 'L': Lower triangular. 👑
• DIAG — is CHARACTER. Specifies whether or not the matrix A is unit triangular. = 'N': Non-unit triangular; = 'U': Unit triangular. 🎀
• N — is INTEGER. The order of the matrix A. N >= 0. 🔥
• A — is REAL 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 — is INTEGER. The leading dimension of the array A. LDA >= max(1,N). 🦋
• WORK — is REAL array, dimension (N). 💜
• RAT — is 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 👑

This routine is brought to you by:

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

Definition at line 119 of file strt06.f. 📌

👑 Author 👑

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

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okay that’s the whole page, bestie — this is LAPACK Version 3.12.0, TESTING/LIN/strt06.f(3). Slay and stay triangular 💅💖