Numerical Methods for Parametric Nonlinear Programming and Their Application to the Optimization of a Chemical ProcessRice University
Betts JT (2010) Practical methods for optimal control and estimation using nonlinear programming, 2nd edn. SIAM, Philadelphia CrossRef Binder T, Blank L, Bock HG, Bulirsch R, Dahmen W, Diehl M, Kronseder T, Marquardt W, Schlöder JP, von Stryk O (2001) Introduction to model based opti...
Existing approaches to multiextremal optimization (see Evtushenko, 1971; Ivanov, 1972; Mockus, 1977; Strongin, 1978; Zilinskas, 1978) mostly focus on numerical methods for unconstrained problems. Constraints are usually handled by introducing penalty functions since other techniques (see, for example...
Numerical algorithms for constrained nonlinear optimization can be broadly categorized into gradient-based methods and direct search methods. Gradient search methods use first derivatives (gradients) or second derivatives (Hessians) information. Examples
The most popularprogramming languagefor implementing numerical analysis methods is Fortran, a language developed in the 1950s that continues to be updated to meet changing needs. Other languages, such as C, C++, and Java, are also used for numerical analysis. Another approach for basic problems ...
Given a smooth nonlinear mapping F:Rn→Rn, Broyden’s method [3] aims at finding u¯∈Rn with: F(u¯)=0. It is a well-established member of the class of quasi-Newton methods and shares its local q-superlinear convergence, cf. [9, 14, 15, 21, 23]. The Broyden-like method...
This chapter describes some basic concepts ofnumerical optimizationmethods and present an overview of different classes of search methods fornonlinear problems. It also discusses “what to do if the solution process fails” and simple scaling of design variables. There are different ways by which sear...
A secant method for nonlinear least-squares minimization these methods and illustrating their performance (e.g., Dennis and Schnabel, Numerical Methods for Unconstrained Optimization and Nonlinear Equations, 1996 )... X Wei,TF Coleman,G Liu - 《Computational Optimization & Applications》 被引量: 24...
(Mathematics) a branch of mathematics concerned with methods, usually iterative, for obtaining solutions to problems by means of a computer Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011,...
X.: Optimization Theory and Methods: Nonlinear Programming. Springer, NewYork (2006) MATH Google Scholar Tong, X.J., Qi, L.: On the convergence of a trust-region method for solving constrained nonlinear equations with degenerate solutions. J. Optim. Theory Appl. 123(1), 187–211 (2004)...