ZTRSV(3)

💖 NAME 💖

ZTRSV(3) is the manual name, bestie, and this page is part of the Library Functions Manual. The file path is literally /home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/BLAS/SRC/ztrsv.f.

✨ SYNOPSIS ✨

🧚 Functions/Subroutines 🧚

subroutine ZTRSV (uplo, trans, diag, n, a, lda, x, incx)
    ZTRSV

🦋 Function/Subroutine Documentation 🦋

subroutine ZTRSV (character uplo, character trans, character diag, integer
    n, complex*16, dimension(lda,*) a, integer lda, complex*16, dimension(*)
    x, integer incx)

ZTRSV

🌟 Purpose 🌟

Okay so ZTRSV solves one of these systems of equations, no cap:

A*x = b,   or   A**T*x = b,   or   A**H*x = b,

where b and x are n element vectors and A is an n by n unit, or non-unit, upper or lower triangular matrix.

⚠️ No test for singularity or near-singularity is included in this routine. Such tests must be performed before calling this routine. So like, do your own vibe check first, bestie. 💀

🍓 Parameters 🍓

• UPLO — The docs say UPLO is CHARACTER*1. On entry, UPLO specifies whether the matrix is an upper or lower triangular matrix, like:
  • UPLO = 'U' or 'u' — A is an upper triangular matrix.
  • UPLO = 'L' or 'l' — A is a lower triangular matrix.
• TRANS — The docs say TRANS is CHARACTER*1. On entry, TRANS specifies the equations to be solved, as follows:
  • TRANS = 'N' or 'n' — A*x = b.
  • TRANS = 'T' or 't' — A**T*x = b.
  • TRANS = 'C' or 'c' — A**H*x = b.
• DIAG — The docs say DIAG is CHARACTER*1. On entry, DIAG specifies whether or not A is unit triangular, like:
  • DIAG = 'U' or 'u' — A is assumed to be unit triangular.
  • DIAG = 'N' or 'n' — A is not assumed to be unit triangular.
• N — The docs say N is INTEGER. On entry, N specifies the order of the matrix A. N must be at least zero.
• A — The docs say A is COMPLEX*16 array, dimension ( LDA, N ). Before entry with UPLO = 'U' or 'u', the leading n by n upper triangular part of the array A must contain the upper triangular matrix, and the strictly lower triangular part of A is not referenced. Before entry with UPLO = 'L' or 'l', the leading n by n lower triangular part of the array A must contain the lower triangular matrix, and the strictly upper triangular part of A is not referenced. Note that when DIAG = 'U' or 'u', the diagonal elements of A are not referenced either, but are assumed to be unity.
• LDA — The docs say LDA is INTEGER. On entry, LDA specifies the first dimension of A as declared in the calling (sub) program. LDA must be at least max( 1, n ).
• X — The docs say X is COMPLEX*16 array, dimension at least ( 1 + ( n - 1 )*abs( INCX ) ). Before entry, the incremented array X must contain the n element right-hand side vector b. On exit, X is overwritten with the solution vector x.
• INCX — The docs say INCX is INTEGER. On entry, INCX specifies the increment for the elements of X. INCX must not be zero. 🚨

👑 Author 👑

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

🔥 Further Details 🔥

• Level 2 Blas routine.
• -- Written on 22-October-1986.
  • Jack Dongarra, Argonne National Lab.
  • Jeremy Du Croz, Nag Central Office.
  • Sven Hammarling, Nag Central Office.
  • Richard Hanson, Sandia National Labs.

Definition at line 148 of file ztrsv.f.

🤖 Author 🤖

Generated automatically by Doxygen for LAPACK from the source code.

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That’s the whole page, bestie 💖 — LAPACK Version 3.12.0, from the source file /home/abui...SRC/ztrsv.f(3). Byeee! 🎀