A mathematical modeling of pure recursive algorithms, in Logic at Botik '89, A. R. Meyer and M. A. Taitslin, eds., Lecture Notes in Computer Science, No. 363, Berlin, 1989, Springer-Verlag, pp. 208-229.Y. N. Mo
These three cases cover most recursive algorithms using divide-and-conquer strategy, which can help to quickly determine the progressive time complexity of the algorithm. By analyzing the division factor, the number of recursions and the computational complexity outside each recursion, Master Theorem p...
large-scale MILPs involving huge numbers of variables, inequalities, and realistically sized integer programming instances become tractable. In addition to algorithmic features, especially heuristic algorithms and cutting plane methods, progress is due to both hardware capabilities and software effectiveness (...
The final stage is to produce an algorithm, a step-by-step implementation of the method. Algorithms are thought of rather like flow charts and are usually described in an unambiguous way by means of an algorithmic or even a computer-programming language. Algorithms are recipes that could conceiv...
In many optimization problems arising from machine learning, image processing, and statistics communities, the objective functions possess a special form involving huge amounts of data, which encourages the application of stochastic algorithms. In this paper, we study such a broad class of nonconvex ...
A randomized scheme for speeding up algorithms for linear and convex programming problems with high constraints-to-variables ratio. Ilan AdlerRon Shamir 原文链接 谷歌学术 必应学术 百度学术 Analysis of a self-scaling quasi-Newton method. Jorge NocedalYa-Xiang Yuan ...
A Recursive Procedure to Generate All Cuts for 0-1 Mixed Integer Programs. George L. NemhauserLaurence A. Wolsey 原文链接 谷歌学术 必应学术 百度学术 On Patching Algorithms for Random Asymmetric Travelling Salesman Problems. Martin E. DyerAlan M. Frieze ...
Also, the unit of time used should be made precise, especially when comparing the performance of two algorithms. 2.50 Definition The size of the input is the total number of bits needed to represent the input in ordinary binary notation using an appropriate encoding scheme. Occasionally, the ...
Chapter Quantum Algorithms and Methods 5.12 Problems 1. By using mathematical induction, prove that the following circuit can be used to implement the Deutsch–Jozsa algorithm, that is, to verify whether the mapping {0,1}n→ {0,1} is constant or balanced. Sign in to download full-size imag...
We introduce and study a discrete multi-period extension of the classical knapsack problem, dubbed generalized incremental knapsack. In this setting, we ar