STRT02(3)

💅 STRT02(3) — strt02.f(3) — Library Functions Manual 💅

🎀 NAME 🎀

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/strt02.f

okay bestie, that's the whole path, and yes, it's giving long-path realness — but it's literally the file. This is the STRT02(3) page, no cap. 💖

✨ SYNOPSIS ✨

🦋 Functions/Subroutines 🦋

subroutine STRT02 (uplo, trans, diag, n, nrhs, a, lda, x, ldx, b, ldb,
    work, resid)
    STRT02

🧚 Function/Subroutine Documentation 🧚

subroutine STRT02 (character uplo, character trans, character diag, integer
    n, integer nrhs, real, dimension( lda, * ) a, integer lda, real,
    dimension( ldx, * ) x, integer ldx, real, dimension( ldb, * ) b, integer
    ldb, real, dimension( * ) work, real resid)
    STRT02

🌈 Purpose 🌈

okay so STRT02 computes the residual for the computed solution to a triangular system of linear equations op(A)*X = B, where A is a triangular matrix. The test ratio is the maximum over norm(b - op(A)*x) / ( ||op(A)||_1 * norm(x) * EPS ), where op(A) = A or A**T, b is the column of B, x is the solution vector, and EPS is the machine epsilon. The norm used is the 1-norm. 💅

🌸 Parameters 🌸

• UPLO — UPLO is CHARACTER*1. Specifies whether the matrix A is upper or lower triangular.
  • = 'U': Upper triangular
  • = 'L': Lower triangular
• TRANS — TRANS is CHARACTER*1. Specifies the operation applied to A.
  • = 'N': A * X = B (No transpose)
  • = 'T': A**T * X = B (Transpose)
  • = 'C': A**H * X = B (Conjugate transpose = Transpose)
• DIAG — DIAG is CHARACTER*1. 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.
• NRHS — NRHS is INTEGER. The number of right hand sides, i.e., the number of columns of the matrices X and B. NRHS >= 0.
• A — 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 — LDA is INTEGER. The leading dimension of the array A. LDA >= max(1,N).
• X — X is REAL array, dimension (LDX,NRHS). The computed solution vectors for the system of linear equations.
• LDX — LDX is INTEGER. The leading dimension of the array X. LDX >= max(1,N).
• B — B is REAL array, dimension (LDB,NRHS). The right hand side vectors for the system of linear equations.
• LDB — LDB is INTEGER. The leading dimension of the array B. LDB >= max(1,N).
• WORK — WORK is REAL array, dimension (N).
• RESID — RESID is REAL. The maximum over the number of right hand sides of norm(op(A)*X - B) / ( norm(op(A)) * norm(X) * EPS ).

💜 Author 💜

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

Definition at line 148 of file strt02.f.

🌟 Author 🌟

Generated automatically by Doxygen for LAPACK from the source code.

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💖 that's the whole page, bestie. Footer vibes: LAPACK Version 3.12.0, path /home/abui...IN/strt02.f(3). periodt. 🎀