/home/abui...RC/zptsv.f(3)

💖 NAME 💖

okay so bestie, this page is folded under the Library Functions Manual umbrella and the title/path vibe is /home/abui...RC/zptsv.f(3) 💅. The actual source file named in the NAME section is:

• /home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/zptsv.f — the file this whole page is serving, periodt.

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✨ SYNOPSIS ✨

🌸 Functions/Subroutines 🌸

Here's the function/subroutine listing exactly as it shows up:

       subroutine ZPTSV (n, nrhs, d, e, b, ldb, info)
            ZPTSV computes the solution to system of linear equations A * X = B
           for PT matrices

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🎀 Function/Subroutine Documentation 🎀

okay so this is the actual routine doc, and it's giving “linear algebra but make it cute” 🧚. The full signature is:

   subroutine ZPTSV (integer n, integer nrhs, double precision, dimension( * )
       d, complex*16, dimension( * ) e, complex*16, dimension( ldb, * ) b,
       integer ldb, integer info)

ZPTSV computes the solution to system of linear equations A * X = B for PT matrices. No cap, that's the one-liner.

🎯 Purpose 🎯

ZPTSV computes the solution to a complex system of linear equations A*X = B, where A is an N-by-N Hermitian positive definite tridiagonal matrix, and X and B are N-by-NRHS matrices.

A is factored as A = L*D*L**H, and the factored form of A is then used to solve the system of equations.

🧾 Parameters 🧾

• N — N is INTEGER. The order of the matrix A. N >= 0.
• NRHS — NRHS is INTEGER. The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0.
• D — D is DOUBLE PRECISION array, dimension (N). On entry, the n diagonal elements of the tridiagonal matrix A. On exit, the n diagonal elements of the diagonal matrix D from the factorization A = L*D*L**H.
• E — E is COMPLEX*16 array, dimension (N-1). On entry, the (n-1) subdiagonal elements of the tridiagonal matrix A. On exit, the (n-1) subdiagonal elements of the unit bidiagonal factor L from the L*D*L**H factorization of A. E can also be regarded as the superdiagonal of the unit bidiagonal factor U from the U**H*D*U factorization of A.
• B — B is COMPLEX*16 array, dimension (LDB,NRHS). On entry, the N-by-NRHS right hand side matrix B. On exit, if INFO = 0, the N-by-NRHS solution matrix 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 = -i, the i-th argument had an illegal value
  • > 0: if INFO = i, the leading principal minor of order i is not positive, and the solution has not been computed. The factorization has not been completed unless i = N.

👑 Author 👑

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

Definition at line 114 of file zptsv.f.

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⭐ Author ⭐

Generated automatically by Doxygen for LAPACK from the source code.

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okay bestie that's the whole page 🫶 — source/version vibes are LAPACK Version 3.12.0, and the footer path is /home/abui...RC/zptsv.f(3). Bye and slay your tridiagonal solves 💖✨