Zhang, Jianzhong; Zhu, Meifang Least change properties of ABS methods and their application in secant-type updates. (English) Zbl 0897.65038 Optim. Methods Softw. 8, No. 2, 111-131 (1997). Reviewer: Y.Cherruault (Paris) MSC: 65H10 90C30 65K05 15A24 PDF BibTeX XML Cite \textit{J. Zhang} and \textit{M. Zhu}, Optim. Methods Softw. 8, No. 2, 111--131 (1997; Zbl 0897.65038) Full Text: DOI
Al-Baali, M. Variational quasi-Newton methods for unconstrained optimization. (English) Zbl 0797.90086 J. Optimization Theory Appl. 77, No. 1, 127-143 (1993). MSC: 90C30 65K10 90-08 PDF BibTeX XML Cite \textit{M. Al-Baali}, J. Optim. Theory Appl. 77, No. 1, 127--143 (1993; Zbl 0797.90086) Full Text: DOI
Dennis, J. E. jun.; Echebest, N.; Guardarucci, M. T.; Martínez, J. M.; Scolnik, H. D.; Vacchino, C. A curvilinear search using tridiagonal secant updates for unconstrained optimization. (English) Zbl 0756.65088 SIAM J. Optim. 1, No. 3, 333-357 (1991). Reviewer: P.Stavre (Craiova) MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{J. E. Dennis jun.} et al., SIAM J. Optim. 1, No. 3, 333--357 (1991; Zbl 0756.65088) Full Text: DOI
Bourji, Samih K.; Walker, Homer F. Least-change secant updates of nonsquare matrices. (English) Zbl 0719.65043 SIAM J. Numer. Anal. 27, No. 5, 1263-1294 (1990). Reviewer: A.Roose (Tallinn) MSC: 65H10 65H20 PDF BibTeX XML Cite \textit{S. K. Bourji} and \textit{H. F. Walker}, SIAM J. Numer. Anal. 27, No. 5, 1263--1294 (1990; Zbl 0719.65043) Full Text: DOI
Moret, I. On the convergence of inexact quasi-Newton methods. (English) Zbl 0675.65046 Int. J. Comput. Math. 28, No. 1-4, 117-137 (1989). Reviewer: O.Hübner MSC: 65H10 PDF BibTeX XML Cite \textit{I. Moret}, Int. J. Comput. Math. 28, No. 1--4, 117--137 (1989; Zbl 0675.65046) Full Text: DOI
Yin, Zhang; Tewarson, R. P. Least-change updates to Cholesky factors subject to the nonlinear quasi- Newton condition. (English) Zbl 0636.65061 IMA J. Numer. Anal. 7, 509-521 (1987). Reviewer: J.Parida MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{Z. Yin} and \textit{R. P. Tewarson}, IMA J. Numer. Anal. 7, 509--521 (1987; Zbl 0636.65061) Full Text: DOI
Ip, Chi Ming On least-change secant updates in factored form. (English) Zbl 0629.65066 SIAM J. Numer. Anal. 24, 1126-1132 (1987). Reviewer: S.Grzegórski MSC: 65K05 90C30 15A23 PDF BibTeX XML Cite \textit{C. M. Ip}, SIAM J. Numer. Anal. 24, 1126--1132 (1987; Zbl 0629.65066) Full Text: DOI
Grzegórski, S. M. Multilevel least-change Newton-like methods for equality constrained optimization problems. (English) Zbl 0625.90076 Math. Program. 37, 91-116 (1987). Reviewer: K.Schittkowski MSC: 90C30 49M37 65K05 PDF BibTeX XML Cite \textit{S. M. Grzegórski}, Math. Program. 37, 91--116 (1987; Zbl 0625.90076) Full Text: DOI
Grzegórski, Stanisław M. Orthogonal projections on convex sets for Newton-like methods. (English) Zbl 0593.65044 SIAM J. Numer. Anal. 22, 1208-1219 (1985). Reviewer: J.Abaffy MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{S. M. Grzegórski}, SIAM J. Numer. Anal. 22, 1208--1219 (1985; Zbl 0593.65044) Full Text: DOI
Todd, Michael J. Quasi-Newton updates in abstract vector spaces. (English) Zbl 0574.65044 SIAM Rev. 26, 367-377 (1984). MSC: 65H10 65K05 PDF BibTeX XML Cite \textit{M. J. Todd}, SIAM Rev. 26, 367--377 (1984; Zbl 0574.65044) Full Text: DOI
Griewank, Andreas A short proof of the Dennis-Schnabel theorem. (English) Zbl 0484.65028 BIT 22, 252-256 (1982). MSC: 65H10 PDF BibTeX XML Cite \textit{A. Griewank}, BIT 22, 252--256 (1982; Zbl 0484.65028) Full Text: DOI
Kearfott, Ralph Baker A derivative-free arc continuation method and a bifurcation technique. (English) Zbl 0461.65038 Numerical solution of nonlinear equations, Proc. Symp., Bremen 1980, Lect. Notes Math. 878, 182-198 (1981). MSC: 65H10 65H17 PDF BibTeX XML
Salane, D. E.; Tewarson, R. P. A unified derivation of symmetric quasi-Newton update formulas. (English) Zbl 0464.65038 J. Inst. Math. Appl. 25, 29-36 (1980). MSC: 65K05 65H10 65F30 90C30 PDF BibTeX XML Cite \textit{D. E. Salane} and \textit{R. P. Tewarson}, J. Inst. Math. Appl. 25, 29--36 (1980; Zbl 0464.65038) Full Text: DOI
Nocedal, Jorge Updating quasi-Newton matrices with limited storage. (English) Zbl 0464.65037 Math. Comput. 35, 773-782 (1980). MSC: 65K05 65F30 65H10 90C30 PDF BibTeX XML Cite \textit{J. Nocedal}, Math. Comput. 35, 773--782 (1980; Zbl 0464.65037) Full Text: DOI