A Practical Examination of Some Numerical Methods for Linear Discrete Ill-Posed Problems

作者: J. M. Varah

DOI: 10.1137/1021007

关键词:

摘要: Four well-known methods for the numerical solution of linear discrete ill-posed problems are investigated from a common point view: namely, type algebraic expansion generated solu...

参考文章(10)
Richard J. Hanson, A Numerical Method for Solving Fredholm Integral Equations of the First Kind Using Singular Values SIAM Journal on Numerical Analysis. ,vol. 8, pp. 616- 622 ,(1971) , 10.1137/0708058
F Charles, Van Loan, Generalizing the Singular Value Decomposition SIAM Journal on Numerical Analysis. ,vol. 13, pp. 76- 83 ,(1976) , 10.1137/0713009
Gene H. Golub, Michael Heath, Grace Wahba, Generalized Cross-Validation as a Method for Choosing a Good Ridge Parameter Technometrics. ,vol. 21, pp. 215- 223 ,(1979) , 10.1080/00401706.1979.10489751
A Tikhonov, Solution of incorrectly formulated problems and the regularization method Soviet Math. Dokl.. ,vol. 5, pp. 1035- 1038 ,(1963)
J. M. Varah, On the Numerical Solution of Ill-Conditioned Linear Systems with Applications to Ill-Posed Problems SIAM Journal on Numerical Analysis. ,vol. 10, pp. 257- 267 ,(1973) , 10.1137/0710025
C. B. Moler, G. W. Stewart, An Algorithm for Generalized Matrix Eigenvalue Problems. SIAM Journal on Numerical Analysis. ,vol. 10, pp. 241- 256 ,(1973) , 10.1137/0710024
Grace Wahba, None, The approximate solution of linear operator equations when the data are noisy Advances in Applied Probability. ,vol. 8, pp. 222- 223 ,(1976) , 10.2307/1425871