ZTPSV(3)

💅 ZTPSV(3) — Library Functions Manual ✨

okay so bestie, you’ve landed on <purple>ZTPSV(3)</purple> from the Library Functions Manual, and this page is lowkey a whole Level 2 BLAS moment. We’re gonna keep every flag, every type, every value, and every warning exactly as it is — just with way more sparkle. 🫶💖

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🌸 NAME 🌸

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

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✨ SYNOPSIS ✨

Functions/Subroutines

       subroutine ZTPSV (uplo, trans, diag, n, ap, x, incx)
           ZTPSV

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💖 Function/Subroutine Documentation 💖

   subroutine ZTPSV (character uplo, character trans, character diag, integer
       n, complex*16, dimension(*) ap, complex*16, dimension(*) x, integer
       incx)
       ZTPSV

🎀 Purpose 🎀

Okay so <purple>ZTPSV</purple> solves one of these systems of equations, and that’s the whole vibe:

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, supplied in packed form. 🦋✨

⚠️ no cap: No test for singularity or near-singularity is included in this routine. Such tests must be performed before calling this routine. So do your own vibe check before you call it, bestie 😭💅

🌈 Parameters 🌈

💜 UPLO

UPLO is CHARACTER*1. On entry, it tells us whether A is upper or lower triangular, like this:

• UPLO = 'U' or 'u' — A is an upper triangular matrix.
• UPLO = 'L' or 'l' — A is a lower triangular matrix.

💜 TRANS

TRANS is CHARACTER*1. On entry, it picks which equation gets solved:

• TRANS = 'N' or 'n' — A*x = b.
• TRANS = 'T' or 't' — A**T*x = b.
• TRANS = 'C' or 'c' — A**H*x = b.

💜 DIAG

DIAG is CHARACTER*1. On entry, it says whether A is unit triangular or not:

• DIAG = 'U' or 'u' — A is assumed to be unit triangular.
• DIAG = 'N' or 'n' — A is not assumed to be unit triangular.

💜 N

N is INTEGER. On entry, N is the order of the matrix A. It must be at least zero. 📏

💜 AP

AP is a COMPLEX*16 array with dimension at least ( ( n*( n + 1 ) )/2 ).

Before entry with UPLO = 'U' or 'u', the array AP must contain the upper triangular matrix packed sequentially, column by column, so that:

• AP( 1 ) contains a( 1, 1 )
• AP( 2 ) and AP( 3 ) contain a( 1, 2 ) and a( 2, 2 ) respectively
• and so on.

Before entry with UPLO = 'L' or 'l', the array AP must contain the lower triangular matrix packed sequentially, column by column, so that:

• AP( 1 ) contains a( 1, 1 )
• AP( 2 ) and AP( 3 ) contain a( 2, 1 ) and a( 3, 1 ) respectively
• and so on.

Note that when DIAG = 'U' or 'u', the diagonal elements of A are not referenced, but are assumed to be unity. 👑

💜 X

X is a COMPLEX*16 array with 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

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 143 of file ztpsv.f.

Author

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

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xoxo, your LAPACK bestie 💖 — LAPACK Version 3.12.0, source /home/abui...SRC/ztpsv.f(3), routine stamped 22-October-1986 in the details above. slay responsibly, bestie 🫶💅