ZLACON(3)

πŸ“¦ version 3.12.0, in opensuse-leap 16.0

πŸ’… NAME πŸ’…

okay so the NAME section is literally just this file path, bestie:

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

and up top the header path is /home/abui...RC/zlacon.f(3), from the Library Functions Manual. The main character is zlacon.f(3). slay.


✨ SYNOPSIS ✨

Functions/Subroutines

subroutine ZLACON (n, v, x, est, kase)

ZLACON estimates the 1-norm of a square matrix, using reverse communication for evaluating matrix-vector products. that's the whole vibe.


πŸ¦‹ Function/Subroutine Documentation πŸ¦‹

subroutine ZLACON (integer n, complex*16, dimension( n ) v, complex*16,
    dimension( n ) x, double precision est, integer kase)

ZLACON estimates the 1-norm of a square matrix, using reverse communication for evaluating matrix-vector products.

Purpose:

bestie, the purpose is iconic: ZLACON estimates the 1-norm of a square, complex matrix A. Reverse communication is used for evaluating matrix-vector products. periodt. πŸ’…

Parameters

N

N is INTEGER. It's the order of the matrix. N >= 1. no cap.

V

V is COMPLEX*16 array, dimension (N). On the final return, V = A*W, where EST = norm(V)/norm(W) (W is not returned). not me noticing W is a ghost πŸ‘».

X

X is COMPLEX*16 array, dimension (N). On an intermediate return, X should be overwritten by:

A * X,   if KASE=1,
A**H * X,  if KASE=2,

where A**H is the conjugate transpose of A, and ZLACON must be re-called with all the other parameters unchanged. literally do not touch the other params, iykyk.

EST

EST is DOUBLE PRECISION. On entry with KASE = 1 or 2 and JUMP = 3, EST should be unchanged from the previous call to ZLACON. On exit, EST is an estimate (a lower bound) for norm(A). lower bound = lower bound, periodt.

KASE

KASE is INTEGER. On the initial call to ZLACON, KASE should be 0. On an intermediate return, KASE will be 1 or 2, indicating whether X should be overwritten by A * X or A**H * X. On the final return from ZLACON, KASE will again be 0. the comeback era. πŸ”₯

Author

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

Further Details:

Originally named CONEST, dated March 16, 1988. Last modified: April, 1999.

Contributors:

Nick Higham, University of Manchester

References:

N.J. Higham, "FORTRAN codes for estimating the one-norm ofa real or complex matrix, with applications to condition estimation", ACM Trans. Math. Soft., vol. 14, no. 4, pp. 381-396, December 1988.

Definition at line 113 of file zlacon.f.


🌸 Author 🌸

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πŸ’– okay bye bestie! the footer says LAPACK, Version 3.12.0, and the page path is /home/abui...RC/zlacon.f(3). the dated details up above are March 16, 1988 and April, 1999. mwah! πŸ’…πŸŽ€

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