references.txt

Author: Amit Rotem
Last modified: 10/25/2019

I used the following sources:
Armadillo:
[1] Conrad Sanderson and Ryan Curtin.
        Armadillo: a template-based C++ library for linear algebra.
        Journal of Open Source Software, Vol. 1, pp. 26, 2016.

[2] Conrad Sanderson and Ryan Curtin.
        A User-Friendly Hybrid Sparse Matrix Class in C++.
        Lecture Notes in Computer Science (LNCS), Vol. 10931, pp. 422-430, 2018.

matplotlibcpp:
[3] https://github.com/lava/matplotlib-cpp

algorithms:
[4] Many of the methods here were adapted from algorithms taught at various classes I took (or am currently taking) at the Colorado School of Mines within the Applied Mathematics and Statistics department.

[5] LeVeque, Randall J. "Finite difference methods for ordinary and partial differential equations". SIAM, 2007.

[6] Lloyd N. Trefethen "Spectral Methods in MATLAB". SIAM, 2000.

[7] Manolis I. A.Lourakis "A Brief Description of the Levenberg-Marquardt Algorithm Implemened by levmar", 2005.

[8] http://www.scholarpedia.org/article/Nelder-Mead_algorithm accessed Oct 2019

[9] Fornberg, Bengt "Calculation of weights in finite difference formulas". SIAM, 1998

[10] E. Hairer, G. Wanner, "Solving Ordinary Differential Equations II". Springer-Verlag, 1993.

[11] Gramacki A. "Nonparametric Kernel Density Estimation and Its Computational Aspects". Springer International Publishing, 2018.

[12] Brent, R. P. "Algorithms for Minimization Without Derivatives". Prentice-Hall, 1972.

[13] Phillips, Steven J. "Acceleration of K-Means and Related Clustering Algorithms". Springer, 2002.

[14] D. Sculley. "Web-scale k-means clustering". ACM, 2010.

[15] J. Nocedal, S. Wright "Numerical Optimization". Springer, 1999.

[16] Y. Saad "Iterative Methods for Sparse Linear Systems". SIAM, 2003.

[*] a lot of Wikipedia...