SRC/zgtts2.f(3)

🌸 NAME 🌸

SRC/zgtts2.f — hey bestie, this is the page for that one, straight outta the Library Functions Manual 🫶.

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✨ SYNOPSIS ✨

🧚 Functions/Subroutines 🧚

• subroutine zgtts2 (itrans, n, nrhs, dl, d, du, du2, ipiv, b, ldb) — ZGTTS2 solves a system of linear equations with a tridiagonal matrix using the LU factorization computed by sgttrf. (Yep, sgttrf exactly as written in the synopsis — keeping the lore intact 💅.)

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🎀 Function/Subroutine Documentation 🎀

subroutine zgtts2 (integer itrans, 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)

ZGTTS2 solves a system of linear equations with a tridiagonal matrix using the LU factorization computed by sgttrf.

💖 Purpose 💖

ZGTTS2 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. That's the whole mood ✨.

🌈 Parameters 🌈

• ITRANS — INTEGER. Specifies the form of the system of equations:
  • = 0: A * X = B (No transpose)
  • = 1: A**T * X = B (Transpose)
  • = 2: A**H * X = B (Conjugate transpose)
• N — INTEGER. The order of the matrix A.
• NRHS — INTEGER. The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0.
• DL — COMPLEX*16 array, dimension (N-1). The (n-1) multipliers that define the matrix L from the LU factorization of A.
• D — COMPLEX*16 array, dimension (N). The n diagonal elements of the upper triangular matrix U from the LU factorization of A.
• DU — COMPLEX*16 array, dimension (N-1). The (n-1) elements of the first super-diagonal of U.
• DU2 — COMPLEX*16 array, dimension (N-2). The (n-2) elements of the second super-diagonal of U.
• IPIV — 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 — 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 — INTEGER. The leading dimension of the array B. LDB >= max(1,N).

👑 Author 👑

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Definition at line 127 of file zgtts2.f.

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👑 Author 👑

Generated automatically by Doxygen for LAPACK from the source code.

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That's the whole page, bestie 💖 — LAPACK, Version 3.12.0, SRC/zgtts2.f(3). (No extra date line in the original, so I'm not making one up 🎀.)