ZHPTRS(3)

πŸ“¦ version 3.12.0, in opensuse-leap 16.0

πŸ’… NAME

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

This is the /home/abui...RC/zhptrs.f(3) page from the Library Functions Manual, bestie. πŸ’– Yes, we are doing packed complex Hermitian linear algebra today, and it's lowkey iconic.

✨ SYNOPSIS

Functions/Subroutines

  • subroutine ZHPTRS (uplo, n, nrhs, ap, ipiv, b, ldb, info) β€” the ZHPTRS subroutine itself, serving main-character energy. πŸ‘‘

πŸ¦‹ Function/Subroutine Documentation

subroutine ZHPTRS (character uplo, integer n, integer nrhs, complex*16, dimension( * ) ap, integer, dimension( * ) ipiv, complex*16, dimension( ldb, * ) b, integer ldb, integer info)

ZHPTRS β€” that's the name, and it's literally here to solve your linear system, no cap. 🫢

🌸 Purpose:

okay so here's the tea: ZHPTRS solves a system of linear equations A*X = B with a complex Hermitian matrix A stored in packed format using the factorization A = U*D*U**H or A = L*D*L**H computed by ZHPTRF. That's the whole flex. ✨

πŸŽ€ Parameters

  • UPLO β€” CHARACTER*1. Specifies whether the details of the factorization are stored as an upper or lower triangular matrix. The values are:
    • = 'U': Upper triangular, form is A = U*D*U**H;
    • = 'L': Lower triangular, form is A = L*D*L**H.
  • N β€” INTEGER. The order of the matrix A. N >= 0.
  • NRHS β€” INTEGER. The number of right hand sides, i.e., the number of columns of the matrix B. NRHS >= 0.
  • AP β€” COMPLEX*16 array, dimension (N*(N+1)/2). The block diagonal matrix D and the multipliers used to obtain the factor U or L as computed by ZHPTRF, stored as a packed triangular matrix.
  • IPIV β€” INTEGER array, dimension (N). Details of the interchanges and the block structure of D as determined by ZHPTRF.
  • B β€” COMPLEX*16 array, dimension (LDB,NRHS). On entry, the right hand side matrix B. On exit, the solution matrix X.
  • LDB β€” INTEGER. The leading dimension of the array B. LDB >= max(1,N).
  • INFO β€” INTEGER. Exit status tea:
    • = 0: successful exit;
    • < 0: if INFO = -i, the i-th argument had an illegal value.

πŸ‘‘ Author

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

Definition at line 114 of file zhptrs.f.

πŸ’œ Author

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