SRC/zunghr.f(3)

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version 3.12.1 · 4 versions
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✨ NAME ✨

SRC/zunghr.f — bestie, this is the LAPACK page from the Library Functions Manual, and it is all about zunghr, okay? 💅

🌸 SYNOPSIS 🌸

Functions/Subroutines

  • subroutine zunghr (n, ilo, ihi, a, lda, tau, work, lwork, info) — ZUNGHR

🦋 Function/Subroutine Documentation 🦋

subroutine zunghr (integer n, integer ilo, integer ihi, complex*16, dimension( lda, * ) a, integer lda, complex*16, dimension( * ) tau, complex*16, dimension( * ) work, integer lwork, integer info)

ZUNGHR

🎀 Purpose 🎀

Okay so ZUNGHR generates a complex unitary matrix Q, and the way that Q is defined is literally as the product of IHI-ILO elementary reflectors of order N, as returned by ZGEHRD:

Q = H(ilo) H(ilo+1) . . . H(ihi-1).

💖 Parameters 💖

  • N — N is INTEGER; it is the order of the matrix Q. And babes, N >= 0.
  • ILO — ILO is INTEGER.
  • IHI — IHI is INTEGER.

ILO and IHI must have the same values as in the previous call of ZGEHRD. Q is equal to the unit matrix except in the submatrix Q(ilo+1:ihi,ilo+1:ihi). The constraint is 1 <= ILO <= IHI <= N, if N > 0; ILO=1 and IHI=0, if N=0.

  • A — A is COMPLEX*16 array, dimension (LDA,N). On entry, the vectors which define the elementary reflectors, as returned by ZGEHRD. On exit, the N-by-N unitary matrix Q.
  • LDA — LDA is INTEGER; the leading dimension of the array A. LDA >= max(1,N).
  • TAU — TAU is COMPLEX*16 array, dimension (N-1). TAU(i) must contain the scalar factor of the elementary reflector H(i), as returned by ZGEHRD.
  • WORK — WORK is COMPLEX*16 array, dimension (MAX(1,LWORK)). On exit, if INFO = 0, WORK(1) returns the optimal LWORK.
  • LWORK — LWORK is INTEGER; the dimension of the array WORK. LWORK >= IHI-ILO. For optimum performance LWORK >= (IHI-ILO)*NB, where NB is the optimal blocksize.

If LWORK = -1, then a workspace query is assumed; the routine only calculates the optimal size of the WORK array, returns this value as the first entry of the WORK array, and no error message related to LWORK is issued by XERBLA.

  • INFO — INFO is 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 125 of file zunghr.f.

🌈 Author 🌈

Generated automatically by Doxygen for LAPACK from the source code.

💌 Cute sign-off time: this little icon is signed off by LAPACK Version 3.12.0, on file SRC/zunghr.f(3) — and that's the whole footer tea, bestie. 🫶✨

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