Luksan, Ladislav Quasi-Newton methods without projections for unconstrained minimization. (English) Zbl 0514.65047 Kybernetika 18, 290-306 (1982). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 2 Documents MSC: 65K05 Numerical mathematical programming methods 90C30 Nonlinear programming Keywords:iterative methods; quasi-Newton method; unconstrained minimization; rank- 2 one-parameter class; optimal conditioning; numerical experiments PDF BibTeX XML Cite \textit{L. Luksan}, Kybernetika 18, 290--306 (1982; Zbl 0514.65047) Full Text: EuDML References: [1] W. C. Davidon: Optimally conditioned optimization algorithms without line searches. Math. Programming 9 (1975), 1, 1-30. · Zbl 0328.90055 [2] J. E. Dennis H. H. W. Mei: An Unconstrained Optimization Algorithm which Uses Function and Gradient Values. Res. Rept. No. TR 75-246, Dept. of Computer Sci., Cornell University, Ithaca 1975. [3] S. Hoshino: A formulation of variable metric methods. J. Inst. Math. Appl. 10 (1972), 3 394-403. · Zbl 0258.65065 [4] L. Lukšan: Software package for optimization and nonlinear approximation. Proc. of 2nd IFAC/IFIP Symposium on software for computer control, Prague 1979. [5] L. Lukšan: New combined method for unconstrained minimization. Computing 28 (1982), 2, 155-169. · Zbl 0464.49022 [6] L. Lukšan: Quasi-Newton methods without projections for linearly constrained minimization. Kybernetika 18 (1982), 4, 307-319. · Zbl 0514.65048 [7] G. W. Stewart: A modification of Davidon’s minimization method to accept difference approximation of derivatives. J. Assoc. Comput. Mach. 14 (1967), 1, 72-83. · Zbl 0239.65056 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.