STRSV(3)

💅 STRSV(3) — Library Functions Manual ✨

okay so bestie, welcome to the Library Functions Manual glow-up for STRSV — header path vibe check: /home/abui...SRC/strsv.f(3). We're literally about to solve triangular systems and look cute doing it. 🫶

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🌸 NAME 🌸

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/BLAS/SRC/strsv.f

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✨ SYNOPSIS ✨

🎀 Functions/Subroutines 🎀

• subroutine STRSV (uplo, trans, diag, n, a, lda, x, incx) — the icon itself, STRSV. 💅

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💖 Function/Subroutine Documentation 💖

Here's the full signature, exactly as the source says it:

subroutine STRSV (character uplo, character trans, character diag, integer
     n, real, dimension(lda,*) a, integer lda, real, dimension(*) x, integer
     incx)

STRSV — yup, that's the name, no notes. 😌

🌼 Purpose 🌼

STRSV solves one of these systems of equations, bestie:

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

🚨 Important caveat: no test for singularity or near-singularity is included in this routine. Such tests must be performed before calling this routine. So do your vibe checks first, okay? 😭

🦋 Parameters 🦋

• UPLO — CHARACTER*1. On entry, UPLO specifies whether the matrix is an upper or lower triangular matrix as follows:
  • UPLO = 'U' or 'u' — A is an upper triangular matrix.
  • UPLO = 'L' or 'l' — A is a lower triangular matrix.
• TRANS — 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**T*x = b.
• DIAG — CHARACTER*1. On entry, DIAG specifies whether or not A is unit triangular as follows:
  • DIAG = 'U' or 'u' — A is assumed to be unit triangular.
  • DIAG = 'N' or 'n' — A is not assumed to be unit triangular.
• N — INTEGER. On entry, N specifies the order of the matrix A. N must be at least zero.
• A — REAL 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 — 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 — REAL 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 — 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.

And the receipt says: Definition at line 148 of file strsv.f. 📌

🧚 Author 🧚

Generated automatically by Doxygen for LAPACK from the source code.

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mwah 💋 — this whole serve is LAPACK Version 3.12.0, footer path /home/abui...SRC/strsv.f(3), and that's the page, bestie. 🫶✨