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

💖 NAME 💖

okay so this is the /home/abui...RC/zhpev.f(3) page, and she's serving Library Functions Manual energy, fr fr. The NAME line is basically giving us the full source-file path in the original page: /home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/zhpev.f — and yes bestie, this is the ZHPEV page. 💅

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✨ SYNOPSIS ✨

🧚 Functions/Subroutines 🧚

subroutine ZHPEV (jobz, uplo, n, ap, w, z, ldz, work, rwork, info)
     ZHPEV computes the eigenvalues and, optionally, the left and/or
     right eigenvectors for OTHER matrices

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🎀 Function/Subroutine Documentation 🎀

subroutine ZHPEV (character jobz, character uplo, integer n, complex*16,
    dimension( * ) ap, double precision, dimension( * ) w, complex*16,
    dimension( ldz, * ) z, integer ldz, complex*16, dimension( * ) work,
    double precision, dimension( * ) rwork, integer info)

ZHPEV computes the eigenvalues and, optionally, the left and/or right eigenvectors for OTHER matrices. That's the whole main-character summary, and she ate. 🔥

🦋 Purpose 🦋

So the purpose is iconic: ZHPEV computes all the eigenvalues and, optionally, eigenvectors of a complex Hermitian matrix in packed storage. No cap. 💖

🌸 Parameters 🌸

• JOBZ — JOBZ is CHARACTER*1
  • = 'N': Compute eigenvalues only;
  • = 'V': Compute eigenvalues and eigenvectors.
• UPLO — UPLO is CHARACTER*1
  • = 'U': Upper triangle of A is stored;
  • = 'L': Lower triangle of A is stored.
• N — N is INTEGER. The order of the matrix A. N >= 0.
• AP — AP is COMPLEX*16 array, dimension (N*(N+1)/2). On entry, the upper or lower triangle of the Hermitian matrix A, packed columnwise in a linear array. The j-th column of A is stored in the array AP as follows:
  • if UPLO = 'U', AP(i + (j-1)*j/2) = A(i,j) for 1<=i<=j;
  • if UPLO = 'L', AP(i + (j-1)*(2*n-j)/2) = A(i,j) for j<=i<=n.

On exit, AP is overwritten by values generated during the reduction to tridiagonal form. If UPLO = 'U', the diagonal and first superdiagonal of the tridiagonal matrix T overwrite the corresponding elements of A, and if UPLO = 'L', the diagonal and first subdiagonal of T overwrite the corresponding elements of A. She's not just storage, bestie — she's transformation. 🦋

• W — W is DOUBLE PRECISION array, dimension (N). If INFO = 0, the eigenvalues in ascending order.
• Z — Z is COMPLEX*16 array, dimension (LDZ, N). If JOBZ = 'V', then if INFO = 0, Z contains the orthonormal eigenvectors of the matrix A, with the i-th column of Z holding the eigenvector associated with W(i). If JOBZ = 'N', then Z is not referenced. 🙈
• LDZ — LDZ is INTEGER. The leading dimension of the array Z. LDZ >= 1, and if JOBZ = 'V', LDZ >= max(1,N).
• WORK — WORK is COMPLEX*16 array, dimension (max(1, 2*N-1)).
• RWORK — RWORK is DOUBLE PRECISION array, dimension (max(1, 3*N-2)).
• INFO — INFO is INTEGER
  • = 0: successful exit.
  • < 0: if INFO = -i, the i-th argument had an illegal value.
  • > 0: if INFO = i, the algorithm failed to converge; i off-diagonal elements of an intermediate tridiagonal form did not converge to zero. 💀

👑 Author 👑

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

Definition at line 136 of file zhpev.f.

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💅 Author 💅

Generated automatically by Doxygen for LAPACK from the source code. Yes, the docs themselves have main character energy. ✨

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Final sign-off tea: LAPACK Version 3.12.0, footer path /home/abui...RC/zhpev.f(3), and the date slot is empty on this page — no date printed, bestie. Mwah. 💅🎀