Variable metric methods for a class of extended conic functions

Ladislav Lukšan

Kybernetika (1985)

  • Volume: 21, Issue: 2, page 96-107
  • ISSN: 0023-5954

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Lukšan, Ladislav. "Variable metric methods for a class of extended conic functions." Kybernetika 21.2 (1985): 96-107. <http://eudml.org/doc/27959>.

@article{Lukšan1985,
author = {Lukšan, Ladislav},
journal = {Kybernetika},
keywords = {finite step convergence; variable metric algorithms; unconstrained minimization; extended conic functions},
language = {eng},
number = {2},
pages = {96-107},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Variable metric methods for a class of extended conic functions},
url = {http://eudml.org/doc/27959},
volume = {21},
year = {1985},
}

TY - JOUR
AU - Lukšan, Ladislav
TI - Variable metric methods for a class of extended conic functions
JO - Kybernetika
PY - 1985
PB - Institute of Information Theory and Automation AS CR
VL - 21
IS - 2
SP - 96
EP - 107
LA - eng
KW - finite step convergence; variable metric algorithms; unconstrained minimization; extended conic functions
UR - http://eudml.org/doc/27959
ER -

References

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  1. P. Bjørstad, J. Nocedal, Analysis of a new algorithm for one-dimensional minimization, Computing 22 (1979), 2, 93-100. (1979) MR0620386
  2. C. G. Broyden, Quasi-Newton methods and their application to function minimization, Math. Comp. 21 (1967), 99, 368-381. (1967) MR0224273
  3. W. C. Davidon, Conic approximations and collinear scalings for optimizers, SIAM J. Numer. Anal. 77 (1980), 2, 268-281. (1980) Zbl0424.65026MR0567273
  4. L. Lukšan, Quasi-Newton methods without projections for unconstrained minimization, Kybernetika 18 (1982), 4, 290-306. (1982) MR0688368
  5. L. Lukšan, Conjugate gradient algorithms for conic functions, Computing (submitted for publication). 
  6. D. C. Sorensen, The Q-superlinear convergence of a collinear scaling algorithm for unconstrained optimization, SIAM J. Numer. Anal. 77 (1980), I, 84-114. (1980) Zbl0428.65040MR0559465

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