CPTTRS(3)

💅 CPTTRS(3) — cpttrs.f 💅

okay bestie, this is the Library Functions Manual page for CPTTRS, and the header path vibe is /home/abui...RC/cpttrs.f(3). it's giving LAPACK tridiagonal solve energy, and we're keeping every detail because that's the whole assignment. ✨🫶

🌸 NAME 🌸

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/cpttrs.f

lowkey just the source file path, but we keep it exact because it's the main character. 💖

✨ SYNOPSIS ✨

Functions/Subroutines

       subroutine CPTTRS (uplo, n, nrhs, d, e, b, ldb, info)
           CPTTRS

and that's the subroutine, bestie — CPTTRS said hi. 🫶

🦋 Function/Subroutine Documentation 🦋

   subroutine CPTTRS (character uplo, integer n, integer nrhs, real, dimension(
       * ) d, complex, dimension( * ) e, complex, dimension( ldb, * ) b,
       integer ldb, integer info)
       CPTTRS

💖 Purpose 💖

okay so CPTTRS solves a tridiagonal system of the form A * X = B using the factorization A = U**H*D*U or A = L*D*L**H computed by CPTTRF. D is a diagonal matrix specified in the vector D, U (or L) is a unit bidiagonal matrix whose superdiagonal (subdiagonal) is specified in the vector E, and X and B are N by NRHS matrices. literally that's the whole purpose, slay. 🔥

🎀 Parameters 🎀

• UPLO — UPLO is CHARACTER*1. it specifies the form of the factorization and whether the vector E is the superdiagonal of the upper bidiagonal factor U or the subdiagonal of the lower bidiagonal factor L. the values are:
  • = 'U': A = U**H*D*U, E is the superdiagonal of U
  • = 'L': A = L*D*L**H, E is the subdiagonal of L
• N — N is INTEGER. the order of the tridiagonal 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 REAL array, dimension (N). the n diagonal elements of the diagonal matrix D from the factorization A = U**H*D*U or A = L*D*L**H. ⭐
• E — E is COMPLEX array, dimension (N-1). if UPLO = 'U', the (n-1) superdiagonal elements of the unit bidiagonal factor U from the factorization A = U**H*D*U. if UPLO = 'L', the (n-1) subdiagonal elements of the unit bidiagonal factor L from the factorization A = L*D*L**H. 🌈
• B — B is COMPLEX array, dimension (LDB,NRHS). on entry, the right hand side vectors B for the system of linear equations. on exit, the solution vectors, X. 💖
• LDB — LDB is INTEGER. the leading dimension of the array B. LDB >= max(1,N). 🫶
• INFO — INFO is INTEGER. the exit tea is:
  • = 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 📍

Definition at line 120 of file cpttrs.f.

🎀 Author 🎀

Generated automatically by Doxygen for LAPACK from the source code.

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okay that's the whole page, bestie 🫶 mwah 💋 the footer says LAPACK, Version 3.12.0, and /home/abui...RC/cpttrs.f(3) — that's the source/version vibe, and no date is listed so we're not making one up. periodt. 💅✨