ZGTTRS(3)

🎀 ZGTTRS(3) 🎀

Library Functions Manual realness, bestie. Page path vibe: /home/abui...RC/zgttrs.f(3).

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🌸 NAME 🌸

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/zgttrs.f — that’s the source file, and yes it’s iconic, no cap. 💅

✨ SYNOPSIS ✨

🫶 Functions/Subroutines 🫶

subroutine ZGTTRS (trans, n, nrhs, dl, d, du, du2, ipiv, b, ldb, info)
    ZGTTRS

🦋 Function/Subroutine Documentation 🦋

💖 subroutine ZGTTRS 💖

Signature, exactly as written:

subroutine ZGTTRS (character trans, integer n, integer nrhs, complex*16,
    dimension( * ) dl, complex*16, dimension( * ) d, complex*16, dimension(
    * ) du, complex*16, dimension( * ) du2, integer, dimension( * ) ipiv,
    complex*16, dimension( ldb, * ) b, integer ldb, integer info)
    ZGTTRS

ZGTTRS — main character energy, fr fr. 🫶

🎯 Purpose 🎯

ZGTTRS solves one of the systems of equations:

A * X = B,  A**T * X = B,  or  A**H * X = B,

with a tridiagonal matrix A using the LU factorization computed by ZGTTRF. Slay. ✨

🧸 Parameters 🧸

• TRANS — TRANS is CHARACTER*1. Specifies the form of the system of equations.
  • = 'N': A * X = B (No transpose)
  • = 'T': A**T * X = B (Transpose)
  • = 'C': A**H * X = B (Conjugate transpose)
• N — N is INTEGER. The order of the matrix A.
• NRHS — NRHS is INTEGER. The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0.
• DL — DL is COMPLEX*16 array, dimension (N-1). The (n-1) multipliers that define the matrix L from the LU factorization of A.
• D — D is COMPLEX*16 array, dimension (N). The n diagonal elements of the upper triangular matrix U from the LU factorization of A.
• DU — DU is COMPLEX*16 array, dimension (N-1). The (n-1) elements of the first super-diagonal of U.
• DU2 — DU2 is COMPLEX*16 array, dimension (N-2). The (n-2) elements of the second super-diagonal of U.
• IPIV — IPIV is INTEGER array, dimension (N). The pivot indices; for 1 <= i <= n, row i of the matrix was interchanged with row IPIV(i). IPIV(i) will always be either i or i+1; IPIV(i) = i indicates a row interchange was not required.
• B — B is COMPLEX*16 array, dimension (LDB,NRHS). On entry, the matrix of right hand side vectors B. On exit, B is overwritten by the solution vectors X.
• LDB — LDB is INTEGER. The leading dimension of the array B. LDB >= max(1,N).
• INFO — INFO is INTEGER.
  • = 0: successful exit
  • < 0: if INFO = -k, the k-th argument had an illegal value

💜 Author 💜

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

Definition at line 136 of file zgttrs.f.

🌈 Author 🌈

Generated automatically by Doxygen for LAPACK from the source code.

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Footer sign-off: LAPACK, Version 3.12.0, from /home/abui...RC/zgttrs.f(3). No date line is present in the footer, bestie — so no invented date, periodt. 💅💖