Referenes

Credits

This package and the manual were strongly influenced by Hansen (2000). The image for the logo is a picture of Andrey Nikolayevich Tikhonov taken from Wikipedia. The credit for introducing the regularized solution is shared with Twomey (1963).

Bibliography

Eldén, L. (1977) Algorithms for the regularization of ill-conditioned least squares problems, BIT 17, 134–145, DOI:10.1007/BF01932285.

Golub, G. H., Heath, M. and Wahba, G. (1979) Generalized Cross-Validation as a Method for Choosing a Good Ridge Parameter, Technometrics 21(2), 215–223, DOI:10.1080/00401706.1979.10489751.

Hansen, P. C. (1998) 2. Decompositions and Other Tools, in Rank-Deficient and Discrete Ill-Posed Problems, 19-44, DOI:10.1137/1.9780898719697.ch2.

Hansen, P. C. (2000) The L-Curve and its Use in the Numerical Treatment of Inverse Problems, in Computational Inverse Problems in Electrocardiology, ed. P. Johnston, Advances in Computational Bioengineering, 119–142, WIT Press.

Huckle, T. and Sedlacek, M. (2012) Data Based Regularization Matrices for the Tikhonov-PhillipsRegularization, Proc. Appl. Math. Mech., 12, 643 – 644, DOI:10.1002/pamm.201210310.

Lira, M, Iyer, R., Trinidade, A., Howle, V. (2016) QR versus Cholesky: A probabilistic analysis, International Journal of Numerical Analysis and Modeling, 13(1), 114-121.

Twomey, S. (1963) On the numerical solution of Fredholm integral equations of the first kind by inversion of the linear system produced by quadrature, Journal of the ACM, 19(1963), 97–101, DOI:10.1145/321150.321157.