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πŸ’– NAME πŸ’–

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

okay so bestie, this is the page for that exact file, and it lives in the Library Functions Manual. The header path vibe is /home/abui...RC/cgesv.f(3) β€” iykyk. πŸ’…

✨ SYNOPSIS ✨

🧚 Functions/Subroutines 🧚

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

πŸŽ€ Function/Subroutine Documentation πŸŽ€

subroutine CGESV (integer n, integer nrhs, complex, dimension( lda, * ) a,
       integer lda, integer, dimension( * ) ipiv, complex, dimension( ldb, * )
       b, integer ldb, integer info)

🌸 Purpose 🌸

CGESV computes the solution to a complex system of linear equations

A * X = B,

where A is an N-by-N matrix and X and B are N-by-NRHS matrices. main character energy, fr fr. ✨

The LU decomposition with partial pivoting and row interchanges is used to factor A as

A = P * L * U,

where P is a permutation matrix, L is unit lower triangular, and U is upper triangular. The factored form of A is then used to solve the system of equations A * X = B. ate and left no crumbs, no cap. πŸ’–

πŸ¦‹ Parameters πŸ¦‹

  • N β€” N is INTEGER; the number of linear equations, i.e., the order of the matrix A. N >= 0.
  • NRHS β€” NRHS is INTEGER; the number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0.
  • A β€” A is COMPLEX array, dimension (LDA,N). On entry, the N-by-N coefficient matrix A. On exit, the factors L and U from the factorization A = P*L*U; the unit diagonal elements of L are not stored.
  • LDA β€” LDA is INTEGER; the leading dimension of the array A. LDA >= max(1,N).
  • IPIV β€” IPIV is INTEGER array, dimension (N); the pivot indices that define the permutation matrix P; row i of the matrix was interchanged with row IPIV(i).
  • B β€” B is COMPLEX array, dimension (LDB,NRHS). On entry, the N-by-NRHS matrix of right hand side matrix B. On exit, if INFO = 0, the N-by-NRHS solution matrix X.
  • LDB β€” LDB is INTEGER; the leading dimension of the array B. LDB >= max(1,N).
  • INFO β€” INFO is INTEGER:
    • = 0: successful exit
    • < 0: if INFO = -i, the i-th argument had an illegal value
    • > 0: if INFO = i, U(i,i) is exactly zero. The factorization has been completed, but the factor U is exactly singular, so the solution could not be computed. 🫠

πŸ’œ Author πŸ’œ

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

Definition at line 123 of file cgesv.f.

πŸ‘‘ Author πŸ‘‘

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