@Article{ridders1979, author={Ridders, C.}, journal={Circuits and Systems, IEEE Transactions on}, title={A new algorithm for computing a single root of a real continuous function}, year={1979}, volume={26}, number={11}, pages={979-980}, abstract={A fast and simple iterative method is proposed for the determination of a single real root of a real continuous function. The idea is based upon linearizing the original function whereafter the regula falsi is applied to this modified function which leads to a very simple algorithm. The rate of convergence is shown to be quadratic or better.}, doi={10.1109/TCS.1979.1084580}, ISSN={0098-4094}, month={Nov} } @Book{bevington_data_reduction_book, author = "Philip R. Bevington", editor = "", title = "Data reduction and error analysis for the physical sciences", PUBLISHER = "New York, McGraw-Hill", year = "1969", volume = "" } @book{numerical_recipes_book, author = {Press, William H. and Teukolsky, Saul A. and Vetterling, William T. and Flannery, Brian P.}, title = {Numerical Recipes 3rd Edition: The Art of Scientific Computing}, year = {2007}, isbn = {0521880688, 9780521880688}, edition = {3}, url = {http://www.nr.com/}, publisher = {Cambridge University Press}, address = {New York, NY, USA}, } @misc{NIST_rng_check, title = {A Statistical Test Suite for the Validation of Random Number Generators and Pseudo Random Number Generators for Cryptographic Applications.}, howpublished = {\url{http://csrc.nist.gov/groups/ST/toolkit/rng/documentation_software.html}}, note = {Accessed: 2016-10-09} } @book{knuth_cominatorial_book_part1, author = {Donald E. Knuth}, title = {The Art of Computer Programming, Volume 4A: Combinatorial Algorithms, Part 1}, year = {2011}, isbn = {0201038048, 978-0201038040}, edition = {3}, publisher = {Addison-Wesley Professional}, } @article{bellman1962traveling_salesman_problem, author = {Bellman, Richard}, title = {Dynamic Programming Treatment of the Travelling Salesman Problem}, journal = {Journal of the ACM}, issue_date = {Jan. 1962}, volume = {9}, number = {1}, month = jan, year = {1962}, issn = {0004-5411}, pages = {61--63}, numpages = {3}, url = {http://doi.acm.org/10.1145/321105.321111}, doi = {10.1145/321105.321111}, acmid = {321111}, publisher = {ACM}, address = {New York, NY, USA}, } @article{metropolis1953, author = {{Metropolis}, N. and {Rosenbluth}, A.~W. and {Rosenbluth}, M.~N. and {Teller}, A.~H. and {Teller}, E.}, title = "{Equation of State Calculations by Fast Computing Machines}", journal = {J. Chem. Phys.}, year = 1953, month = jun, volume = 21, pages = {1087--1092}, doi = {10.1063/1.1699114} } @article{granville1994SimulatedAnnealingConvergence, author={V. Granville and M. Krivanek and J. P. Rasson}, journal={IEEE Transactions on Pattern Analysis and Machine Intelligence}, title={Simulated annealing: a proof of convergence}, year={1994}, volume={16}, number={6}, pages={652-656}, keywords={convergence;image processing;simulated annealing;Metropolis procedure;binary image filtering;convergence;simulated annealing;Analytical models;Convergence;Cooling;Image processing;Image segmentation;Machine intelligence;Pattern recognition;Shape;Simulated annealing;Stochastic processes}, doi={10.1109/34.295910}, ISSN={0162-8828}, month={Jun}, } @book{darwin1859, author = {Charles Darwin}, title = {On the Origin of Species by Means of Natural Selection, or the Preservation of Favoured Races in the Struggle for Life}, year = {1859}, edition = {1} } @misc{holistic_num_methods, title = {Holistic Numerical Methods}, howpublished = {\url{http://mathforcollege.com/nm/}}, note = {Accessed: 2016-11-09} }