DGETRS(3)

💖 DGETRS(3) 💖

okay so bestie, this is the Library Functions Manual page for DGETRS(3), and it is lowkey a main character because it solves linear systems once you already have the LU factorization. It’s giving solver has entered the chat energy. No cap. 🫶

---

🌸 NAME 🌸

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

🦋 SYNOPSIS 🦋

✨ Functions/Subroutines ✨

subroutine DGETRS (trans, n, nrhs, a, lda, ipiv, b, ldb, info)
    DGETRS

💖 Function/Subroutine Documentation 💖

subroutine DGETRS (character trans, integer n, integer nrhs, double
    precision, dimension( lda, * ) a, integer lda, integer, dimension( * )
    ipiv, double precision, dimension( ldb, * ) b, integer ldb, integer
    info)

DGETRS

✨ Purpose ✨

okay so DGETRS solves a system of linear equations:

A * X = B  or  A**T * X = B

with a general N-by-N matrix A using the LU factorization computed by DGETRF. 💅

🌈 Parameters 🌈

• TRANS — CHARACTER*1. Specifies the form of the system of equations:
  • = 'N': A * X = B (No transpose)
  • = 'T': A**T* X = B (Transpose)
  • = 'C': A**T* X = B (Conjugate transpose = Transpose)
• N — INTEGER. The order of the matrix A. N >= 0.
• NRHS — INTEGER. The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0.
• A — DOUBLE PRECISION array, dimension (LDA,N). The factors L and U from the factorization A = P*L*U as computed by DGETRF.
• LDA — INTEGER. The leading dimension of the array A. LDA >= max(1,N).
• IPIV — INTEGER array, dimension (N). The pivot indices from DGETRF; for 1<=i<=N, row i of the matrix was interchanged with row IPIV(i).
• B — DOUBLE PRECISION array, dimension (LDB,NRHS). On entry, the right hand side matrix B. On exit, the solution matrix X.
• LDB — INTEGER. The leading dimension of the array B. LDB >= max(1,N).
• INFO — INTEGER.
  • = 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 120 of file dgetrs.f.

✨ Author ✨

Generated automatically by Doxygen for LAPACK from the source code.

---

🎀 source/version check: LAPACK, Version 3.12.0 — page path /home/abui...RC/dgetrs.f(3). byeee bestie, go solve something iconic 🫶💖