Makarchuk, O. P.; Sal’nyk, K. S. Asymptotic behavior of the module of the characteristic Cantor distribution function. (Ukrainian. English summary) Zbl 07450273 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2021, No. 2, 63-68 (2021). MSC: 60G50 26A30 11K55 PDF BibTeX XML Cite \textit{O. P. Makarchuk} and \textit{K. S. Sal'nyk}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2021, No. 2, 63--68 (2021; Zbl 07450273) Full Text: DOI OpenURL
Vlček, Jan; Lukšan, Ladislav Two limited-memory optimization methods with minimum violation of the previous secant conditions. (English) Zbl 07441211 Comput. Optim. Appl. 80, No. 3, 755-780 (2021). MSC: 65K10 65F30 PDF BibTeX XML Cite \textit{J. Vlček} and \textit{L. Lukšan}, Comput. Optim. Appl. 80, No. 3, 755--780 (2021; Zbl 07441211) Full Text: DOI OpenURL
Serbenyuk, S. Rational numbers defined in terms of certain generalized series. (English) Zbl 07377609 Acta Math. Hung. 164, No. 2, 580-592 (2021). Reviewer: Elijah Liflyand (Ramat-Gan) MSC: 11K55 11J72 26A30 PDF BibTeX XML Cite \textit{S. Serbenyuk}, Acta Math. Hung. 164, No. 2, 580--592 (2021; Zbl 07377609) Full Text: DOI arXiv OpenURL
Serbenyuk, Symon Generalizations of certain representations of real numbers. (English) Zbl 07439092 Tatra Mt. Math. Publ. 77, 59-72 (2020). Reviewer: Stelian Mihalas (Timişoara) MSC: 11K55 11J72 PDF BibTeX XML Cite \textit{S. Serbenyuk}, Tatra Mt. Math. Publ. 77, 59--72 (2020; Zbl 07439092) Full Text: DOI arXiv OpenURL
Li, Zhenhua; Zhang, Qingfu Variable metric evolution strategies by mutation matrix adaptation. (English) Zbl 1475.68480 Inf. Sci. 541, 136-151 (2020). MSC: 68W50 68T05 90C59 PDF BibTeX XML Cite \textit{Z. Li} and \textit{Q. Zhang}, Inf. Sci. 541, 136--151 (2020; Zbl 1475.68480) Full Text: DOI OpenURL
Moroz, M. P. Numerical characteristics of a random variable related to the Engel expansions of real numbers. (English. Ukrainian original) Zbl 1451.60020 Ukr. Math. J. 72, No. 5, 759-770 (2020); translation from Ukr. Mat. Zh. 72, No. 5, 658-666 (2020). MSC: 60B99 26A30 11K55 PDF BibTeX XML Cite \textit{M. P. Moroz}, Ukr. Math. J. 72, No. 5, 759--770 (2020; Zbl 1451.60020); translation from Ukr. Mat. Zh. 72, No. 5, 658--666 (2020) Full Text: DOI OpenURL
Pratsiovytyi, Mykola; Makarchuk, Oleg; Karvatsky, Dmytro Lebesgue structure of asymmetric Bernoulli convolution based on Jacobsthal-Lucas sequence. (English) Zbl 1447.60074 Random Oper. Stoch. Equ. 28, No. 2, 123-130 (2020). MSC: 60G50 11K55 PDF BibTeX XML Cite \textit{M. Pratsiovytyi} et al., Random Oper. Stoch. Equ. 28, No. 2, 123--130 (2020; Zbl 1447.60074) Full Text: DOI OpenURL
Curtis, Frank E.; Robinson, Daniel P.; Zhou, Baoyu A self-correcting variable-metric algorithm framework for nonsmooth optimization. (English) Zbl 1462.65065 IMA J. Numer. Anal. 40, No. 2, 1154-1187 (2020). MSC: 65K05 49J52 90C26 PDF BibTeX XML Cite \textit{F. E. Curtis} et al., IMA J. Numer. Anal. 40, No. 2, 1154--1187 (2020; Zbl 1462.65065) Full Text: DOI arXiv OpenURL
Vlček, Jan; Lukšan, Ladislav Application of the infinitely many times repeated BNS update and conjugate directions to limited-memory optimization methods. (English) Zbl 1463.65156 Chleboun, J. (ed.) et al., Programs and algorithms of numerical mathematics 19. Proceedings of the 19th seminar (PANM), Hejnice, Czech Republic, June 24–29, 2018. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics. 177-185 (2019). Reviewer: Ctirad Matonoha (Praha) MSC: 65K10 90C53 49M15 90C06 PDF BibTeX XML Cite \textit{J. Vlček} and \textit{L. Lukšan}, in: Programs and algorithms of numerical mathematics 19. Proceedings of the 19th seminar (PANM), Hejnice, Czech Republic, June 24--29, 2018. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics. 177--185 (2019; Zbl 1463.65156) Full Text: DOI OpenURL
Yu, Jing; Xia, Fuquan A class of variable metric inertial proximal point algorithms for mixed variational inequalities. (Chinese. English summary) Zbl 1449.49015 J. Sichuan Norm. Univ., Nat. Sci. 42, No. 5, 590-597 (2019). MSC: 49J40 90C33 65K15 PDF BibTeX XML Cite \textit{J. Yu} and \textit{F. Xia}, J. Sichuan Norm. Univ., Nat. Sci. 42, No. 5, 590--597 (2019; Zbl 1449.49015) Full Text: DOI OpenURL
Vlček, Jan; Lukšan, Ladislav Properties of the block BFGS update and its application to the limited-memory block BNS method for unconstrained minimization. (English) Zbl 1440.90076 Numer. Algorithms 80, No. 3, 957-987 (2019). Reviewer: Ctirad Matonoha (Praha) MSC: 90C30 65K10 49M15 90C53 PDF BibTeX XML Cite \textit{J. Vlček} and \textit{L. Lukšan}, Numer. Algorithms 80, No. 3, 957--987 (2019; Zbl 1440.90076) Full Text: DOI OpenURL
Vlček, Jan; Lukšan, Ladislav A limited-memory optimization method using the infinitely many times repeated BNS update and conjugate directions. (English) Zbl 1440.65064 J. Comput. Appl. Math. 351, 14-28 (2019). Reviewer: Ctirad Matonoha (Praha) MSC: 65K05 90C30 90C06 PDF BibTeX XML Cite \textit{J. Vlček} and \textit{L. Lukšan}, J. Comput. Appl. Math. 351, 14--28 (2019; Zbl 1440.65064) Full Text: DOI OpenURL
Kuryliak, A. O.; Skaskiv, O. B.; Stasiv, N. Yu. On convergence of random multiple Dirichlet series. (English) Zbl 1439.11223 Mat. Stud. 49, No. 2, 122-137 (2018). MSC: 11M32 11M41 30B20 30B50 11K55 PDF BibTeX XML Cite \textit{A. O. Kuryliak} et al., Mat. Stud. 49, No. 2, 122--137 (2018; Zbl 1439.11223) Full Text: DOI OpenURL
Pratsiovytyi, Mykola; Lysenko, Iryna; Voitovska, Oksana Distribution of values of classic singular Cantor function of random argument. (English) Zbl 1440.11147 Random Oper. Stoch. Equ. 26, No. 4, 193-200 (2018). MSC: 11K55 26A30 28A80 60G30 60G50 PDF BibTeX XML Cite \textit{M. Pratsiovytyi} et al., Random Oper. Stoch. Equ. 26, No. 4, 193--200 (2018; Zbl 1440.11147) Full Text: DOI OpenURL
Bonettini, S.; Rebegoldi, S.; Ruggiero, V. Inertial variable metric techniques for the inexact forward-backward algorithm. (English) Zbl 1401.65062 SIAM J. Sci. Comput. 40, No. 5, A3180-A3210 (2018). MSC: 65K05 90C25 90C30 PDF BibTeX XML Cite \textit{S. Bonettini} et al., SIAM J. Sci. Comput. 40, No. 5, A3180--A3210 (2018; Zbl 1401.65062) Full Text: DOI OpenURL
Dong, Jiabin; Ju, Yang; Gao, Feng; Xie, Heping Estimation of the fractal dimension of Weierstrass-Mandelbrot function based on cuckoo search methods. (English) Zbl 1432.28001 Fractals 25, No. 6, Article ID 1750065, 13 p. (2017). MSC: 28A78 11K55 68P10 68T20 90B40 PDF BibTeX XML Cite \textit{J. Dong} et al., Fractals 25, No. 6, Article ID 1750065, 13 p. (2017; Zbl 1432.28001) Full Text: DOI OpenURL
Prats’ovytyĭ, M. V.; Svynchuk, O. V. Distribution of values of a non-monotonic singular function of the Cantor type. (Ukrainian. English summary) Zbl 1399.11135 Zb. Pr. Inst. Mat. NAN Ukr. 14, No. 2, 110-121 (2017). MSC: 11K55 11A67 28A80 PDF BibTeX XML Cite \textit{M. V. Prats'ovytyĭ} and \textit{O. V. Svynchuk}, Zb. Pr. Inst. Mat. NAN Ukr. 14, No. 2, 110--121 (2017; Zbl 1399.11135) OpenURL
Munday, Sara; Miao, Jun-Jie Derivatives of slippery Devil’s staircases. (English) Zbl 1369.37029 Discrete Contin. Dyn. Syst., Ser. S 10, No. 2, 353-365 (2017). MSC: 37C45 26A27 28A80 11K55 26A24 26B35 PDF BibTeX XML Cite \textit{S. Munday} and \textit{J.-J. Miao}, Discrete Contin. Dyn. Syst., Ser. S 10, No. 2, 353--365 (2017; Zbl 1369.37029) Full Text: DOI OpenURL
Stich, S. U.; Müller, C. L.; Gärtner, B. Variable metric random pursuit. (English) Zbl 1342.90137 Math. Program. 156, No. 1-2 (A), 549-579 (2016). MSC: 90C25 90C56 90C53 68Q25 PDF BibTeX XML Cite \textit{S. U. Stich} et al., Math. Program. 156, No. 1--2 (A), 549--579 (2016; Zbl 1342.90137) Full Text: DOI arXiv Link OpenURL
Lukšan, Ladislav; Vlček, Jan Recursive form of general limited memory variable metric methods. (English) Zbl 1266.49060 Kybernetika 49, No. 2, 224-235 (2013). MSC: 49M30 49K35 90C06 90C47 90C51 PDF BibTeX XML Cite \textit{L. Lukšan} and \textit{J. Vlček}, Kybernetika 49, No. 2, 224--235 (2013; Zbl 1266.49060) Full Text: Link OpenURL
Vlček, J.; Lukšan, L. Generalizations of the limited-memory BFGS method based on the quasi-product form of update. (English) Zbl 1279.65080 J. Comput. Appl. Math. 241, 116-129 (2013). Reviewer: Ctirad Matonoha (Prague) MSC: 65K05 90C30 90C53 PDF BibTeX XML Cite \textit{J. Vlček} and \textit{L. Lukšan}, J. Comput. Appl. Math. 241, 116--129 (2013; Zbl 1279.65080) Full Text: DOI OpenURL
Yukawa, Masahiro; Yamada, Isao Set-theoretic adaptive filtering based on data-driven sparsification. (English) Zbl 1229.65102 Int. J. Adapt. Control Signal Process. 25, No. 8, 707-722 (2011). MSC: 65K05 90C25 PDF BibTeX XML Cite \textit{M. Yukawa} and \textit{I. Yamada}, Int. J. Adapt. Control Signal Process. 25, No. 8, 707--722 (2011; Zbl 1229.65102) Full Text: DOI OpenURL
Vlček, Jan; Lukšan, Ladislav Limited-memory variable metric methods that use quantities from the preceding iteration. (English) Zbl 1340.65122 Vejchodský, T. (ed.) et al., Programs and algorithms of numerical mathematics 15. Proceedings of the 15th seminar (PANM), Dolní Maxov, Czech Republic, June 6–11, 2010. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics (ISBN 978-80-85823-57-8). 227-232 (2010). Reviewer: Ctirad Matonoha (Prague) MSC: 65K05 90C53 90C30 PDF BibTeX XML Cite \textit{J. Vlček} and \textit{L. Lukšan}, in: Programs and algorithms of numerical mathematics 15. Proceedings of the 15th seminar (PANM), Dolní Maxov, Czech Republic, June 6--11, 2010. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics. 227--232 (2010; Zbl 1340.65122) Full Text: Link OpenURL
Powell, M. J. D. On nonlinear optimization since 1959. (English) Zbl 1192.65084 Bultheel, Adhemar (ed.) et al., The birth of numerical analysis. Papers based on the presentations at the symposium, Leuven, The Netherlands, October 29–30, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-283-625-0/hbk; 978-981-283-626-7/ebook). 141-160 (2010). MSC: 65K05 90C30 65-03 90C55 90C51 01A60 PDF BibTeX XML Cite \textit{M. J. D. Powell}, in: The birth of numerical analysis. Papers based on the presentations at the symposium, Leuven, The Netherlands, October 29--30, 2007. Hackensack, NJ: World Scientific. 141--160 (2010; Zbl 1192.65084) OpenURL
Prats’ovyta, I. M. On expansions of numbers in alternating \(s\)-adic series and Ostrogradskii series of the first and second kind. (Ukrainian, English) Zbl 1224.11008 Ukr. Mat. Zh. 61, No. 7, 958-968 (2009); translation in Ukr. Math. J. 61, No. 7, 1137-1150 (2009). MSC: 11A67 11K55 PDF BibTeX XML Cite \textit{I. M. Prats'ovyta}, Ukr. Mat. Zh. 61, No. 7, 958--968 (2009; Zbl 1224.11008); translation in Ukr. Math. J. 61, No. 7, 1137--1150 (2009) Full Text: DOI OpenURL
Shub, Michael Complexity of Bezout’s theorem. VI: Geodesics in the condition (number) metric. (English) Zbl 1175.65060 Found. Comput. Math. 9, No. 2, 171-178 (2009). MSC: 65H10 65H04 65H20 65Y20 12Y05 30C15 PDF BibTeX XML Cite \textit{M. Shub}, Found. Comput. Math. 9, No. 2, 171--178 (2009; Zbl 1175.65060) Full Text: DOI arXiv OpenURL
Shikhman, V.; Stein, O. Constrained optimization: Projected gradient flows. (English) Zbl 1226.90107 J. Optim. Theory Appl. 140, No. 1, 117-130 (2009). MSC: 90C30 90C52 PDF BibTeX XML Cite \textit{V. Shikhman} and \textit{O. Stein}, J. Optim. Theory Appl. 140, No. 1, 117--130 (2009; Zbl 1226.90107) Full Text: DOI OpenURL
Suttorp, Thorsten; Hansen, Nikolaus; Igel, Christian Efficient covariance matrix update for variable metric evolution strategies. (English) Zbl 1470.68183 Mach. Learn. 75, No. 2, 167-197 (2009). MSC: 68T05 62J10 68T20 68W50 90C29 90C59 PDF BibTeX XML Cite \textit{T. Suttorp} et al., Mach. Learn. 75, No. 2, 167--197 (2009; Zbl 1470.68183) Full Text: DOI OpenURL
Murty, M. Ram Problems in analytic number theory. 2nd ed. (English) Zbl 1190.11001 Graduate Texts in Mathematics 206. Readings in Mathematics. New York, NY: Springer (ISBN 978-0-387-72349-5/hbk). xxi, 502 p. (2008). Reviewer: Florin Nicolae (Berlin) MSC: 11-02 11Mxx 11Nxx 11M38 11A25 11N35 11A41 11Kxx 30Dxx PDF BibTeX XML Cite \textit{M. R. Murty}, Problems in analytic number theory. 2nd ed. New York, NY: Springer (2008; Zbl 1190.11001) OpenURL
Albeverio, S.; Goncharenko, Ya.; Pratsiovytyi, M.; Torbin, G. Convolutions of distributions of random variables with independent binary digits. (English) Zbl 1164.60004 Random Oper. Stoch. Equ. 15, No. 1, 89-104 (2007). Reviewer: Rostyslav E. Yamnenko (Kyïv) MSC: 60E10 11K55 28A80 30B20 60G30 PDF BibTeX XML Cite \textit{S. Albeverio} et al., Random Oper. Stoch. Equ. 15, No. 1, 89--104 (2007; Zbl 1164.60004) Full Text: DOI OpenURL
Albeverio, Sergio; Koshmanenko, Volodymyr; Pratsiovytyi, Mykola; Torbin, Grygoriy Spectral properties of image measures under the infinite conflict interaction. (English) Zbl 1196.28002 Positivity 10, No. 1, 39-49 (2006). MSC: 28A12 60G30 15B52 11A67 11K55 26A46 28A80 PDF BibTeX XML Cite \textit{S. Albeverio} et al., Positivity 10, No. 1, 39--49 (2006; Zbl 1196.28002) Full Text: DOI arXiv Link OpenURL
Pu, Dingguo; Tian, Weiwen A class of revised Broyden algorithms. (English) Zbl 1173.90548 J. Syst. Sci. Complex. 16, No. 2, 213-221 (2003). MSC: 90C30 90C53 65H10 PDF BibTeX XML Cite \textit{D. Pu} and \textit{W. Tian}, J. Syst. Sci. Complex. 16, No. 2, 213--221 (2003; Zbl 1173.90548) OpenURL
Laurinčikas, Antanas; Matsumoto, Kohji The joint universality of zeta-functions attached to certain cusp forms. (English) Zbl 1050.11081 Fiz. Mat. Fak. Moksl. Semin. Darb. 5, 58-75 (2002). Reviewer: Wolfgang Haneke (Marburg) MSC: 11M41 11K99 11F66 PDF BibTeX XML Cite \textit{A. Laurinčikas} and \textit{K. Matsumoto}, Fiz. Mat. Fak. Moksl. Semin. Darb. 5, 58--75 (2002; Zbl 1050.11081) OpenURL
Laurinčikas, Antanas; Matsumoto, Kohji The universality of zeta-functions attached to certain cusp forms. (English) Zbl 0974.11018 Acta Arith. 98, No. 4, 345-359 (2001). Reviewer: Matti Jutila (Turku) MSC: 11F66 11M41 11K99 PDF BibTeX XML Cite \textit{A. Laurinčikas} and \textit{K. Matsumoto}, Acta Arith. 98, No. 4, 345--359 (2001; Zbl 0974.11018) Full Text: DOI OpenURL
Qian, Maijian; Burke, James V. On the local super-linear convergence of a matrix secant implementation of the variable metric proximal point algorithm for monotone operators. (English) Zbl 0930.65072 Fukushima, Masao (ed.) et al., Reformulation: nonsmooth, piecewise smooth, semismooth and smoothing methods. Session in the 16th international symposium on Mathematical programming (ismp97) held at Lausanne EPFL, Switzerland, August 24–29, 1997. Boston: Kluwer Academic Publishers. Appl. Optim. 22, 317-334 (1999). MSC: 65K05 90C25 90C51 PDF BibTeX XML Cite \textit{M. Qian} and \textit{J. V. Burke}, Appl. Optim. 22, 317--334 (1999; Zbl 0930.65072) OpenURL
Obeid, S. Y.; Moghrabi, I. A. R. A new family of multi-step quasi-Newton algorithms for unconstrained optimization. (English) Zbl 0944.65073 Lipitakis, Elias A. (ed.), HERCMA ’98. Proceedings of the 4th Hellenic-European conference on Computer mathematics and its applications. Athens, Greece, September 24-26, 1998. In 2 vols. Athens: LEA, Athens University of Economics and Business, Department of Informatics. 645-653 (1998). MSC: 65K05 65Y20 90C30 90C33 PDF BibTeX XML Cite \textit{S. Y. Obeid} and \textit{I. A. R. Moghrabi}, in: HERCMA '98. Proceedings of the 4th Hellenic-European conference on Computer mathematics and its applications. Athens, Greece, September 24--16, 1998. In 2 vols. Athens: LEA, Athens University of Economics and Business, Department of Informatics. 645--653 (1998; Zbl 0944.65073) OpenURL
Sorokine, Vladislav; Kschischang, Frank R. A sequential decoder for linear block codes with a variable bias-term metric. (English) Zbl 0905.94033 IEEE Trans. Inf. Theory 44, No. 1, 410-416 (1998). MSC: 94B35 68Q25 PDF BibTeX XML Cite \textit{V. Sorokine} and \textit{F. R. Kschischang}, IEEE Trans. Inf. Theory 44, No. 1, 410--416 (1998; Zbl 0905.94033) Full Text: DOI Link OpenURL
Pu, Dingguo; Tian, Weiwen A class of Broyden algorithms with revised search directions. (English) Zbl 0909.90245 Asia-Pac. J. Oper. Res. 14, No. 2, 93-109 (1997). MSC: 90C30 PDF BibTeX XML Cite \textit{D. Pu} and \textit{W. Tian}, Asia-Pac. J. Oper. Res. 14, No. 2, 93--109 (1997; Zbl 0909.90245) OpenURL
Rapcsák, T.; Thang, T. T. A class of polynomial variable metric algorithms for linear optimization. (English) Zbl 0855.90084 Math. Program. 74, No. 3 (A), 319-331 (1996). MSC: 90C05 90C60 PDF BibTeX XML Cite \textit{T. Rapcsák} and \textit{T. T. Thang}, Math. Program. 74, No. 3 (A), 319--331 (1996; Zbl 0855.90084) Full Text: DOI OpenURL
Mifflin, Robert A quasi-second-order proximal bundle algorithm. (English) Zbl 0848.90100 Math. Program. 73, No. 1 (A), 51-72 (1996). MSC: 90C25 PDF BibTeX XML Cite \textit{R. Mifflin}, Math. Program. 73, No. 1 (A), 51--72 (1996; Zbl 0848.90100) Full Text: DOI OpenURL
Rapcsák, Támas Tensor approximations of smooth nonlinear complementarity systems. (English) Zbl 0849.90120 Giannessi, F. (ed.) et al., Variational inequalities and network equilibrium problems. Proceedings of a conference, Erice, Italy, June 19-25, 1994. New York, NY: Plenum, 235-249 (1995). Reviewer: M.A.Noor (Riyadh) MSC: 90C33 49J40 PDF BibTeX XML Cite \textit{T. Rapcsák}, in: Variational inequalities and network equilibrium problems. Proceedings of a conference, Erice, Italy, June 19-25, 1994. New York, NY: Plenum. 235--249 (1995; Zbl 0849.90120) OpenURL
Rapcsák, T.; Thang, T. T. Nonlinear coordinate representations of smooth optimization problems. (English) Zbl 0838.90113 J. Optimization Theory Appl. 86, No. 2, 459-489 (1995). MSC: 90C30 PDF BibTeX XML Cite \textit{T. Rapcsák} and \textit{T. T. Thang}, J. Optim. Theory Appl. 86, No. 2, 459--489 (1995; Zbl 0838.90113) Full Text: DOI OpenURL
Shi, Zhenjun Variable metric conjugate direction method for linear constrained optimization problem. (Chinese. English summary) Zbl 0835.90047 J. Qufu Norm. Univ., Nat. Sci. 21, No. 2, 41-45 (1995). MSC: 90C05 PDF BibTeX XML Cite \textit{Z. Shi}, J. Qufu Norm. Univ., Nat. Sci. 21, No. 2, 41--45 (1995; Zbl 0835.90047) OpenURL
Queffélec, H. H. Bohr’s vision of ordinary Dirichlet series; old and new results. (English) Zbl 0881.11068 J. Anal. 3, 43-60 (1995). Reviewer: S.L.Segal (Rochester) MSC: 11M41 40A05 11K99 43A46 60G15 60E15 30B50 PDF BibTeX XML Cite \textit{H. Queffélec}, J. Anal. 3, 43--60 (1995; Zbl 0881.11068) OpenURL
Pu, Dingguo; Tian, Weiwen A class of modified Broyden algorithms. (English) Zbl 0826.65055 J. Comput. Math. 12, No. 4, 366-379 (1994). Reviewer: W.H.Schmidt (Greifswald) MSC: 65K05 90C30 90C25 PDF BibTeX XML Cite \textit{D. Pu} and \textit{W. Tian}, J. Comput. Math. 12, No. 4, 366--379 (1994; Zbl 0826.65055) OpenURL
Averick, Brett M.; Moré, Jorge J. Evaluation of large-scale optimization problems on vector and parallel architectures. (English) Zbl 0813.65089 SIAM J. Optim. 4, No. 4, 708-721 (1994). Reviewer: R.P.Tewarson (Stony Brook) MSC: 65K05 65Y05 65Y20 90C30 90C06 PDF BibTeX XML Cite \textit{B. M. Averick} and \textit{J. J. Moré}, SIAM J. Optim. 4, No. 4, 708--721 (1994; Zbl 0813.65089) Full Text: DOI Link OpenURL
Siegel, Dirk Modifying the BFGS update by a new column scaling technique. (English) Zbl 0834.90126 Math. Program. 66, No. 1 (A), 45-78 (1994). Reviewer: D.I.Duca (Cluj-Napoca) MSC: 90C30 65K05 PDF BibTeX XML Cite \textit{D. Siegel}, Math. Program. 66, No. 1 (A), 45--78 (1994; Zbl 0834.90126) Full Text: DOI OpenURL
Liu, Guanghui; Yin, Hongting Analysis of the global convergence of the BFGS algorithm. (Chinese. English summary) Zbl 0811.90099 J. Qufu Norm. Univ., Nat. Sci. 20, No. 1, 1-8 (1994). MSC: 90C30 PDF BibTeX XML Cite \textit{G. Liu} and \textit{H. Yin}, J. Qufu Norm. Univ., Nat. Sci. 20, No. 1, 1--8 (1994; Zbl 0811.90099) OpenURL
Solomyak, Boris Conjugates of beta-numbers and the zero-free domain for a class of analytic functions. (English) Zbl 0820.30007 Proc. Lond. Math. Soc., III. Ser. 68, No. 3, 477-498 (1994). Reviewer: D.W.Boyd (Vancouver) MSC: 30C15 28D05 11K55 PDF BibTeX XML Cite \textit{B. Solomyak}, Proc. Lond. Math. Soc. (3) 68, No. 3, 477--498 (1994; Zbl 0820.30007) Full Text: DOI OpenURL
Jamshidian, Mortaza; Jennrich, Robert I. Conjugate gradient methods in confirmatory factor analysis. (English) Zbl 0937.62509 Comput. Stat. Data Anal. 17, No. 3, 247-263 (1994). MSC: 62-XX PDF BibTeX XML Cite \textit{M. Jamshidian} and \textit{R. I. Jennrich}, Comput. Stat. Data Anal. 17, No. 3, 247--263 (1994; Zbl 0937.62509) Full Text: DOI Link OpenURL
Fan, Aihua Lacunarity à la Hadamard and uniform distribution. (Lacunarité à la Hadamard et équirépartition.) (French) Zbl 0826.11037 Colloq. Math. 66, No. 1, 151-163 (1993). Reviewer: Jean-Paul Allouche (Marseille) MSC: 11K55 42A55 42A61 11K31 PDF BibTeX XML Cite \textit{A. Fan}, Colloq. Math. 66, No. 1, 151--163 (1993; Zbl 0826.11037) Full Text: DOI EuDML OpenURL
Siegel, Dirk Updating of conjugate direction matrices using members of Broyden’s family. (English) Zbl 0784.90083 Math. Program. 60, No. 2 (A), 167-185 (1993). MSC: 90C30 90-08 PDF BibTeX XML Cite \textit{D. Siegel}, Math. Program. 60, No. 2 (A), 167--185 (1993; Zbl 0784.90083) Full Text: DOI OpenURL
Uryas’ev, S. P. New variable metric algorithms for problems of nonsmooth optimization. (Russian) Zbl 0813.90109 Bulatov, V. P. (ed.), Optimization: models, methods, solutions. Collection of scientific works. Novosibirsk: Nauka. 245-269 (1992). MSC: 90C30 49J52 PDF BibTeX XML Cite \textit{S. P. Uryas'ev}, in: Optimizatsiya: Modeli, metody, resheniya. Sbornik nauchnykh trudov. Novosibirsk: Nauka. 245--269 (1992; Zbl 0813.90109) OpenURL
Pu, Dingguo A class of DFP algorithms without exact linear search. (English) Zbl 0777.90062 Asia-Pac. J. Oper. Res. 9, No. 2, 207-220 (1992). Reviewer: N.Djuranović-Miličić (Beograd) MSC: 90C30 90-08 PDF BibTeX XML Cite \textit{D. Pu}, Asia-Pac. J. Oper. Res. 9, No. 2, 207--220 (1992; Zbl 0777.90062) OpenURL
Davidon, William C. Variable metric method for minimization. (English) Zbl 0752.90062 SIAM J. Optim. 1, No. 1, 1-17 (1991). MSC: 90C30 90-08 PDF BibTeX XML Cite \textit{W. C. Davidon}, SIAM J. Optim. 1, No. 1, 1--17 (1991; Zbl 0752.90062) Full Text: DOI Link OpenURL
Uryas’ev, S. P. New variable-metric algorithms for nondifferentiable optimization problems. (English) Zbl 0793.90078 J. Optimization Theory Appl. 71, No. 2, 359-388 (1991). MSC: 90C30 49J52 PDF BibTeX XML Cite \textit{S. P. Uryas'ev}, J. Optim. Theory Appl. 71, No. 2, 359--388 (1991; Zbl 0793.90078) Full Text: DOI OpenURL
Matsumoto, Kohji On the magnitude of asymptotic probability measures of Dedekind zeta- functions and other Euler products. (English) Zbl 0715.11043 Acta Arith. 60, No. 2, 125-147 (1991). Reviewer: K.Matsumoto MSC: 11M41 11R42 11K99 11F66 PDF BibTeX XML Cite \textit{K. Matsumoto}, Acta Arith. 60, No. 2, 125--147 (1991; Zbl 0715.11043) Full Text: DOI EuDML OpenURL
Lukšan, Ladislav Computational experience with improved variable metric methods for unconstrained minimization. (English) Zbl 0716.65055 Kybernetika 26, No. 5, 415-431 (1990). Reviewer: H.Hollatz MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{L. Lukšan}, Kybernetika 26, No. 5, 415--431 (1990; Zbl 0716.65055) Full Text: EuDML Link OpenURL
Uryas’ev, S. P. Adaptive variable metric methods for nondifferentiable optimization problems. (English) Zbl 0707.90088 Analysis and optimization of systems, Proc. 9th Int. Conf., Antibes/Fr. 1990, Lect. Notes Control Inf. Sci. 144, 432-441 (1990). Reviewer: G.Chen MSC: 90C30 90C52 65K05 90-08 PDF BibTeX XML OpenURL
Powell, M. J. D. The updating of matrices of conjugate directions in optimization algorithms. (English) Zbl 0703.65033 Numerical analysis, Proc. 13th Biennial Conf., Dundee/UK 1989, Pitman Res. Notes Math. Ser. 228, 193-205 (1990). Reviewer: N.Djuranović-Miličić MSC: 65K05 90C30 PDF BibTeX XML OpenURL
Gilbert, Jean Charles; Lemaréchal, Claude Some numerical experiments with variable-storage quasi-Newton algorithms. (English) Zbl 0694.90086 Math. Program., Ser. B 45, No. 3, 407-435 (1989). MSC: 90C30 65K05 49M05 90C90 PDF BibTeX XML Cite \textit{J. C. Gilbert} and \textit{C. Lemaréchal}, Math. Program. 45, No. 3 (B), 407--435 (1989; Zbl 0694.90086) Full Text: DOI OpenURL
Sun, Wenju; Wu, Zonglin Numerical researches on self-scaling variable metric algorithms. (English) Zbl 0692.65031 Numer. Math., Nanjing 11, No. 2, 145-158 (1989). Reviewer: N.Djuranović-Miličić MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{W. Sun} and \textit{Z. Wu}, Numer. Math., Nanjing 11, No. 2, 145--158 (1989; Zbl 0692.65031) OpenURL
Maxsein, Th. Potenzreihen, die einer Wachstumsbedingung genügen und additive Koeffizienten besitzen. (Power series satisfying a growth condition and having additive coefficients). (German) Zbl 0687.10035 Acta Math. Hung. 54, No. 1-2, 3-7 (1989). Reviewer: A.Hildebrand MSC: 11N99 30B99 11K65 11K55 PDF BibTeX XML Cite \textit{Th. Maxsein}, Acta Math. Hung. 54, No. 1--2, 3--7 (1989; Zbl 0687.10035) Full Text: DOI OpenURL
Maxsein, T. Potenzreihen mit fastgeraden Koeffizienten. (Power series with almost- even coefficients). (German) Zbl 0687.10034 Acta Math. Hung. 53, No. 3-4, 263-270 (1989). Reviewer: A.Hildebrand MSC: 11N99 30B99 11K65 11K55 PDF BibTeX XML Cite \textit{T. Maxsein}, Acta Math. Hung. 53, No. 3--4, 263--270 (1989; Zbl 0687.10034) Full Text: DOI OpenURL
Dayde, M. Parallel algorithms for nonlinear programming problems. (English) Zbl 0642.90083 J. Optimization Theory Appl. 61, No. 1, 23-46 (1989). Reviewer: M.Dayde MSC: 90C30 65K05 49M30 PDF BibTeX XML Cite \textit{M. Dayde}, J. Optim. Theory Appl. 61, No. 1, 23--46 (1989; Zbl 0642.90083) Full Text: DOI OpenURL
Du, Ding-Zhu (ed.) Gradient projection method in linear and nonlinear programming. (Reprints). (English) Zbl 0671.90043 Advances in Discrete Mathematics and Computer Science, 3. Nonantum, MA: Hadronic Press, Inc. xi, 335 p. (1988). MSC: 90C30 90-06 65K05 49M37 90C05 68Q25 49-06 00B60 PDF BibTeX XML Cite \textit{D.-Z. Du} (ed.), Gradient projection method in linear and nonlinear programming. (Reprints). Nonantum, MA: Hadronic Press, Inc. (1988; Zbl 0671.90043) OpenURL
Dunn, Joseph C. Gradient projection methods for systems optimization problems. (English) Zbl 0672.90098 Advances in algorithms and computational techniques in dynamic systems control, Part 2, Control Dyn. Syst., Adv. Theory Appl. 29, 135-195 (1988). MSC: 90C30 93B40 65K05 90C52 90C99 93C55 93C25 PDF BibTeX XML OpenURL
Papageorgiou, M.; Mayr, R. Comparison of direct optimization algorithms for dynamic network flow control. (English) Zbl 0653.49021 Optim. Control Appl. Methods 9, No. 2, 175-185 (1988). Reviewer: Petko Hr.Petkov MSC: 49M37 90B10 93C95 90C52 90C99 65K10 93B40 93C15 PDF BibTeX XML Cite \textit{M. Papageorgiou} and \textit{R. Mayr}, Optim. Control Appl. Methods 9, No. 2, 175--185 (1988; Zbl 0653.49021) Full Text: DOI OpenURL
Klein, Rolf; Wood, Derick Voronoi diagrams based on generalized metrics in the plane. (English) Zbl 0649.51006 STACS 88, Theoretical aspects of computer science, Proc. 5th Annu. Symp., Bordeaux/France 1988, Lect. Notes Comput. Sci. 294, 281-291 (1988). Reviewer: H.D.Hecker MSC: 51F99 26A51 68Q25 PDF BibTeX XML OpenURL
Barnsley, Michael Fractals everywhere. (English) Zbl 0691.58001 Boston, MA etc.: Academic Press, Inc. xii, 394 p. £28.00; $ 39.95 (1988). Reviewer: Karl Doppel (Wien) MSC: 37-01 00A06 26A18 28A75 28A80 37D45 37G15 37C70 37F45 37F50 11K55 PDF BibTeX XML Cite \textit{M. Barnsley}, Fractals everywhere. Boston, MA etc.: Academic Press, Inc. (1988; Zbl 0691.58001) OpenURL
Powell, M. J. D Updating conjugate directions by the BFGS formula. (English) Zbl 0642.90086 Math. Program. 38, 29-46 (1987). MSC: 90C30 65K05 49M37 PDF BibTeX XML Cite \textit{M. J. D Powell}, Math. Program. 38, 29--46 (1987; Zbl 0642.90086) Full Text: DOI OpenURL
Chen, Guangjun Families of point-to-set maps and optimization algorithms. (Chinese. English summary) Zbl 0594.65041 Acta Math. Appl. Sin. 9, 165-177 (1986). Reviewer: J.H.Tian MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{G. Chen}, Acta Math. Appl. Sin. 9, 165--177 (1986; Zbl 0594.65041) OpenURL
Powell, M. J. D. How bad are the BFGS and DFP methods when the objective function is quadratic? (English) Zbl 0581.90068 Math. Program. 34, 34-47 (1986). MSC: 90C20 65K05 PDF BibTeX XML Cite \textit{M. J. D. Powell}, Math. Program. 34, 34--47 (1986; Zbl 0581.90068) Full Text: DOI OpenURL
Schmid, Fortunat Martin Variable-Metrik-Verfahren mit nicht-quadratischen Näherungsfunktionen. (Variable metric methods with non-quadratic approximative functions). (German) Zbl 0623.65069 Philosophische Fakultät II der Universität Zürich. 64 S. (1985). Reviewer: D.Krüger MSC: 65K05 90C30 PDF BibTeX XML OpenURL
Lukšan, Ladislav A compact variable metric algorithm for linearly constrained nonlinear minimax approximation. (English) Zbl 0594.90078 Kybernetika 21, 405-427 (1985). Reviewer: F.N.Katz MSC: 90C30 65D15 49M37 65K05 PDF BibTeX XML Cite \textit{L. Lukšan}, Kybernetika 21, 405--427 (1985; Zbl 0594.90078) Full Text: EuDML OpenURL
Burke, James V. Descent methods for composite nondifferentiable optimization problems. (English) Zbl 0581.90084 Math. Program. 33, 260-279 (1985). MSC: 90C30 49M37 65K05 PDF BibTeX XML Cite \textit{J. V. Burke}, Math. Program. 33, 260--279 (1985; Zbl 0581.90084) Full Text: DOI OpenURL
Lukšan, Ladislav Variable metric methods for a class of extended conic functions. (English) Zbl 0548.90062 Kybernetika 21, 96-107 (1985). MSC: 90C30 49M37 65K05 PDF BibTeX XML Cite \textit{L. Lukšan}, Kybernetika 21, 96--107 (1985; Zbl 0548.90062) Full Text: EuDML OpenURL
Queffelec, Hervé Sur une estimation probabiliste liée à l’inégalité de Bohr. (A probabilistic estimation associated with the Bohr inequality). (French) Zbl 0579.43009 Publ. Math. Orsay 84-01, Exp. No. 6, 21 p. (1984). MSC: 43A46 11K55 60G99 30B50 PDF BibTeX XML OpenURL
Powell, M. J. D. On the rate of convergence of variable metric algorithms for unconstrained optimization. (English) Zbl 0573.65047 Proc. Int. Congr. Math., Warszawa 1983, Vol. 2, 1525-1539 (1984). Reviewer: U.Zimmermann MSC: 65K05 90C30 PDF BibTeX XML OpenURL
Goffin, Jean-Louis Variable metric relaxation methods. II: The ellipsoid method. (English) Zbl 0567.90068 Math. Program. 30, 147-162 (1984). MSC: 90C05 68Q25 65K05 PDF BibTeX XML Cite \textit{J.-L. Goffin}, Math. Program. 30, 147--162 (1984; Zbl 0567.90068) Full Text: DOI OpenURL
Yuan, Yaxiang On the least \(Q\)-order of convergence of variable metric algorithms. (English) Zbl 0555.65036 IMA J. Numer. Anal. 4, 233-239 (1984). Reviewer: H. T. Lau MSC: 65K05 90C25 90C30 PDF BibTeX XML Cite \textit{Y. Yuan}, IMA J. Numer. Anal. 4, 233--239 (1984; Zbl 0555.65036) Full Text: DOI OpenURL
Alexander, J. C.; Yorke, J. A. Fat baker’s transformations. (English) Zbl 0553.58020 Ergodic Theory Dyn. Syst. 4, 1-23 (1984). MSC: 37D45 28D05 42A99 11R06 11K55 PDF BibTeX XML Cite \textit{J. C. Alexander} and \textit{J. A. Yorke}, Ergodic Theory Dyn. Syst. 4, 1--23 (1984; Zbl 0553.58020) Full Text: DOI OpenURL
Powell, M. J. D. Nonconvex minimization calculations and the conjugate gradient method. (English) Zbl 0531.65035 Numerical analysis, Proc. 10th bienn. Conf., Dundee/Scotl. 1983, Lect. Notes Math. 1066, 122-141 (1984). MSC: 65K05 90C30 PDF BibTeX XML OpenURL
Powell, M. J. D. Variable metric methods for constrained optimization. (English) Zbl 0536.90076 Mathematical programming, 11th int. Symp., Bonn 1982, 288-311 (1983). MSC: 90C30 49M37 65K05 PDF BibTeX XML OpenURL
McDowell, D. G. Conditions for variable-metric algorithms to be conjugate-gradient algorithms. (English) Zbl 0502.90075 J. Optimization Theory Appl. 41, 439-450 (1983). MSC: 90C30 65K05 PDF BibTeX XML Cite \textit{D. G. McDowell}, J. Optim. Theory Appl. 41, 439--450 (1983; Zbl 0502.90075) Full Text: DOI OpenURL
Wu, Fang; Gui, Xiangyun; Kwei, Hsiangyuin A class of variable metric algorithms with \(n+1\) independent parameters. (English) Zbl 0588.90081 Kexue Tongbao, Foreign Lang. Ed. 27, 815-817 (1982). MSC: 90C30 49M37 65K05 PDF BibTeX XML Cite \textit{F. Wu} et al., Kexue Tongbao, Sci. Bull. 27, 815--817 (1982; Zbl 0588.90081) OpenURL
Davidon, William C. Conjugate directions for conic functions. (English) Zbl 0553.90080 Nonlinear optimization, Proc. NATO Adv. Res. Inst., Cambridge/Engl. 1981, NATO Conf. Ser., Ser. II, 23-28 (1982). MSC: 90C30 65K05 90C52 49M37 PDF BibTeX XML OpenURL
Auriga, Dorota M. Accumulation of roundoff errors in variable metric methods. (Polish. English, Russian summaries) Zbl 0536.65048 Arch. Autom. Telemech. 27, 153-172 (1982). Reviewer: Jiří Rohn (Praha) MSC: 65K05 90C20 PDF BibTeX XML Cite \textit{D. M. Auriga}, Arch. Autom. Telemech. 27, 153--172 (1982; Zbl 0536.65048) OpenURL
Auriga, Dorota M. Numerical stability analysis of quasi-Newton methods. (English) Zbl 0511.65043 Arch. Autom. Telemech. 27, 173-188 (1982). MSC: 65K05 65G50 90C25 PDF BibTeX XML Cite \textit{D. M. Auriga}, Arch. Autom. Telemech. 27, 173--188 (1982; Zbl 0511.65043) OpenURL
Griewank, A.; Toint, Ph. L. Local convergence analysis for partitioned quasi-Newton updates. (English) Zbl 0505.65018 Numer. Math. 39, 429-448 (1982). MSC: 65K05 65H10 90C30 PDF BibTeX XML Cite \textit{A. Griewank} and \textit{Ph. L. Toint}, Numer. Math. 39, 429--448 (1982; Zbl 0505.65018) Full Text: DOI EuDML OpenURL
Luksan, L. New combined method for unconstrained minimization. (English) Zbl 0464.49022 Computing 28, 155-169 (1982). MSC: 90C52 90C30 65K10 PDF BibTeX XML Cite \textit{L. Luksan}, Computing 28, 155--169 (1982; Zbl 0464.49022) Full Text: DOI OpenURL
Grandinetti, L. A compact updating formula for quasi-Newton minimization algorithms. (English) Zbl 0449.65037 J. Optimization Theory Appl. 36, 477-494 (1982). MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{L. Grandinetti}, J. Optim. Theory Appl. 36, 477--494 (1982; Zbl 0449.65037) Full Text: DOI OpenURL
Wu, Fang; Gui, Xiangyun A class of variable metric algorithms with n+1 parameters. (Chinese) Zbl 0503.90084 Acta Math. Sin. 24, 921-930 (1981). MSC: 90C30 65K05 90C52 PDF BibTeX XML Cite \textit{F. Wu} and \textit{X. Gui}, Acta Math. Sin. 24, 921--930 (1981; Zbl 0503.90084) OpenURL
Avriel, Mordecai Nonlinear programming. (English) Zbl 0498.90069 Mathematical programming for operations researchers and computer scientists, Ind. Eng. 6, 271-367 (1981). MSC: 90C30 90-02 65K05 PDF BibTeX XML OpenURL
Powell, M. J. D.; Toint, Ph. L. The Shanno-Toint procedure for updating sparse symmetric matrices. (English) Zbl 0482.65034 IMA J. Numer. Anal. 1, 403-413 (1981). MSC: 65K05 90C30 PDF BibTeX XML Cite \textit{M. J. D. Powell} and \textit{Ph. L. Toint}, IMA J. Numer. Anal. 1, 403--413 (1981; Zbl 0482.65034) Full Text: DOI OpenURL
Puta, H. Zur Optimalsteuerung von Totzeitsystemen. (German) Zbl 0479.93035 Wiss. Z. Tech. Hochsch. Ilmenau 27, No. 5, 63-73 (1981). MSC: 93C30 93B40 91B76 34K35 90C30 PDF BibTeX XML Cite \textit{H. Puta}, Wiss. Z. Tech. Hochsch. Ilmenau 27, No. 5, 63--73 (1981; Zbl 0479.93035) OpenURL
Schwarz, Wolfgang Fourier-Ramanujan-Entwicklungen zahlentheoretischer Funktionen und Anwendungen. (German) Zbl 0459.10034 Festschr. Wiss. Ges. Johann-Wolfgang-Goethe-Univ., Frankf./M., 399-415 (1981). MSC: 11K65 11K55 30B10 11-02 11N99 PDF BibTeX XML OpenURL
Powell, M. J. D. A note on quasi-Newton formulae for sparse second derivative matrices. (English) Zbl 0453.90081 Math. Program. 20, 144-151 (1981). MSC: 90C30 PDF BibTeX XML Cite \textit{M. J. D. Powell}, Math. Program. 20, 144--151 (1981; Zbl 0453.90081) Full Text: DOI OpenURL
Grandinetti, L. On the performances of the BFS variable metric algorithm versus its LDL+ Choleski decomposition. (English) Zbl 0494.49024 Ottimizzazione non lineare e applicazioni, Atti Conv. int., L’Aquila/Italia 1979, 313-327 (1980). MSC: 49M15 65F30 15A23 PDF BibTeX XML OpenURL
Dixon, L. C. W.; James, L. On stochastic variable-metric methods. (English) Zbl 0483.90067 Analysis and optimisation of stochastic systems, Proc. int. Conf., Oxford 1978, 243-256 (1980). MSC: 90C15 62C05 62F10 65C99 91A60 PDF BibTeX XML OpenURL