000			02553cam a22003015a 4500
001			17984308
005			20201128023917.0
008			131226t2014 gw a frb 001 0 eng d
020			_a9783319042466
040			_aCDX _beng _cCDX _erda _dYDXCP _dBTCTA _dUKMGB _dOCLCO _dMUU _dIUL _dDLC _dEG-ScBUE
082	0	4	_222 _a515.64 _bIZM
100	1		_aIzmailov, Alexey F.
245	1	0	_aNewton-type methods for optimization and variational problems / _cAlexey F. Izmailov, Mikhail V Solodov.
260			_aCham : _bSpringer, _cc.2014.
300			_axix, 573 p. : _bill. ; _c24 cm.
490	0		_aSpringer series in operations research and financial engineering, _x1431-8598.
500			_aIndex : p. [571]-573.
504			_aBibliography : p. 553-569.
505	0		_a1. Elements of optimization theory and variational analysis -- 2. Equations and unconstrained optimization -- 3. Variational problems: local methods -- 4. Constrained optimization: local methods -- 5. Variational problems: globalization of convergence -- 6. Constrained optimization: globalization of convergence -- 7. Degenerate problems with nonisolated solutions -- Appendix.
520	3		_aThis book presents comprehensive state-of-the-art theoretical analysis of the fundamental Newtonian and Newtonian-related approaches to solving optimization and variational problems. A central focus is the relationship between the basic Newton scheme for a given problem and algorithms that also enjoy fast local convergence. The authors develop general perturbed Newtonian frameworks that preserve fast convergence and consider specific algorithms as particular cases within those frameworks, i.e., as perturbations of the associated basic Newton iterations. This approach yields a set of tools for the unified treatment of various algorithms, including some not of the Newton type per se. Among the new subjects addressed is the class of degenerate problems. In particular, the phenomenon of attraction of Newton iterates to critical Lagrange multipliers and its consequences as well as stabilized Newton methods for variational problems and stabilized sequential quadratic programming for optimization. This volume will be useful to researchers and graduate students in the fields of optimization and variational analysis.--
650		7	_aCalculus of variations. _2BUEsh _93105
650		7	_aMathematical optimization. _2BUEsh _93485
650		7	_aIterative methods (Mathematics) _2BUEsh _936944
651			_2BUEsh
653			_bENGELC _cOctober2016
700	1		_aSolodov, Mikhail V.,
942			_2ddc
999			_c22716 _d22688