General Properties of Algorithms


In Chap. 1, an optimization algorithm has been informally introduced as a sequence of steps that can be executed repeatedly in order to obtain a series of progressively improved solutions, starting with an initial estimate of the solution. In this chapter, a more formal and mathematical description of an algorithm will be supplied and some fundamental concepts pertaining to all algorithms in general will be studied.


General Property Initial Point Limit Point Global Convergence Nonlinear Program 
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    D. G. Luenberger, Linear and Nonlinear Programming, 2nd ed., Chap. 6, Addison-Wesley, Reading, MA, 1984.zbMATHGoogle Scholar
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    H. M. Edwards, Advanced Calculus, Houghton Mifflin, Chap. 9, Boston, MA, 1969.Google Scholar

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