BLAS/SRC/ztpmv.f(3)

💖 BLAS/SRC/ztpmv.f(3) 💖

okay bestie, welcome to this page from the Library Functions Manual — it’s giving old-school BLAS but make it cute. This one is all about ztpmv, and yes, we’re keeping every detail. 🫶

🌸 NAME 🌸

BLAS/SRC/ztpmv.f

✨ SYNOPSIS ✨

🧚 Functions/Subroutines 🧚

       subroutine ztpmv (uplo, trans, diag, n, ap, x, incx)
           ZTPMV

🦋 Function/Subroutine Documentation 🦋

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

ZTPMV

💅 Purpose 💅

okay so ZTPMV performs one of the matrix-vector operations

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

where x is an n element vector and A is an n by n unit, or non-unit, upper or lower triangular matrix, supplied in packed form. slay. ✨

🎀 Parameters 🎀

💖 UPLO

UPLO is 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

TRANS is CHARACTER*1. On entry, TRANS specifies the operation to be performed as follows:

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

🌈 DIAG

DIAG is 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

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

🦋 AP

AP is COMPLEX*16 array, 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 COMPLEX*16 array, dimension at least ( 1 + ( n - 1 )*abs( INCX ) ).

Before entry, the incremented array X must contain the n element vector x. On exit, X is overwritten with the transformed vector x.

🧚 INCX

INCX is INTEGER. On entry, INCX specifies the increment for the elements of X. INCX must not be zero. no cap, zero is not it. 💀

💖 Author 💖

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

⭐ Further Details ⭐

   Level 2 Blas routine.
   The vector and matrix arguments are not referenced when N = 0, or M = 0

   -- 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 141 of file ztpmv.f.

💜 Author 💜

Generated automatically by Doxygen for LAPACK from the source code.

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