CLATTB(3)

📦 version 3.12.0, in opensuse-leap 16.0

Bestie, this is the clattb.f(3) page from the Library Functions Manual — header path: /home/abui...IN/clattb.f(3). We’re folding the manual name in right here instead of copying the whole duplicated banner, because we’re efficient like that. 💅

🌸 NAME 🌸

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/TESTING/LIN/clattb.f — that’s the NAME, fr fr. It’s a path, not a vibe, but we respect it. 🫶

✨ SYNOPSIS ✨

🧚 Functions/Subroutines 🧚

Here’s the function/subroutine lineup, bestie:

       subroutine CLATTB (imat, uplo, trans, diag, iseed, n, kd, ab, ldab, b,
           work, rwork, info)
           CLATTB

💖 Function/Subroutine Documentation 💖

Full signature, no gatekeeping:

   subroutine CLATTB (integer imat, character uplo, character trans, character
       diag, integer, dimension( 4 ) iseed, integer n, integer kd, complex,
       dimension( ldab, * ) ab, integer ldab, complex, dimension( * ) b,
       complex, dimension( * ) work, real, dimension( * ) rwork, integer info)
       CLATTB

🎀 Purpose: 🎀

Okay so the actual purpose: CLATTB generates a triangular test matrix in 2-dimensional storage. IMAT and UPLO uniquely specify the properties of the test matrix, and that test matrix is returned in the array A. Periodt. 💅

🍓 Parameters 🍓

IMAT

IMAT is INTEGER. It’s an integer key describing which matrix to generate for this path. It’s giving “choose your fighter” but for matrices. 🔥

UPLO

UPLO is CHARACTER*1. It specifies whether the matrix A will be upper or lower triangular. The values:

  • = 'U': Upper triangular
  • = 'L': Lower triangular

TRANS

TRANS is CHARACTER*1. It specifies whether the matrix or its transpose will be used. The values:

  • = 'N': No transpose
  • = 'T': Transpose
  • = 'C': Conjugate transpose (= transpose)

DIAG

DIAG is CHARACTER*1. It specifies whether or not the matrix A is unit triangular. The values:

  • = 'N': Non-unit triangular
  • = 'U': Unit triangular

ISEED

ISEED is INTEGER array, dimension (4). It’s the seed vector for the random number generator (used in CLATMS). Modified on exit. Important tea. 🍵

N

N is INTEGER. The order of the matrix to be generated.

KD

KD is INTEGER. The number of superdiagonals or subdiagonals of the banded triangular matrix A. KD >= 0.

AB

AB is COMPLEX array, dimension (LDAB,N). It’s the upper or lower triangular banded matrix A, stored in the first KD+1 rows of AB. Let j be a column of A, 1<=j<=n.

The indexing tea:

If UPLO = 'U', AB(kd+1+i-j,j) = A(i,j) for max(1,j-kd)<=i<=j.
If UPLO = 'L', AB(1+i-j,j)    = A(i,j) for j<=i<=min(n,j+kd).

LDAB

LDAB is INTEGER. The leading dimension of the array AB. LDAB >= KD+1.

B

B is COMPLEX array, dimension (N). That’s it, no extra notes. 💜

WORK

WORK is COMPLEX array, dimension (2*N).

RWORK

RWORK is REAL array, dimension (N).

INFO

INFO is INTEGER. The exit-status situation:

  • = 0: successful exit
  • < 0: if INFO = -i, the i-th argument had an illegal value

👑 Author 👑

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

Definition at line 139 of file clattb.f.

🤖 Author — generated automatically 🤖

Generated automatically by Doxygen for LAPACK from the source code.

Okay bestie, that’s the whole clattb.f(3) saga. Footer sign-off: LAPACK — Version 3.12.0 — /home/abui...IN/clattb.f(3). The footer doesn’t hand us a separate date, so no invented calendar tea here. Bye 💅✨🦋

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