参考文献/References:
[1] Buhmann M D.Radial basis function:theory and implementations [M].United Kingdom:Cambridge University Press,2003.
[2] Schaback R.Multivariate interpolation by polynomials and radial basis functions [J].Constructive Approximation,2005,21(3):293-317.
[3] Wu Zongmin.Radial basis functions:a survey [J].Advances in Mathematics,1998,27(3):202-208.
[4] Mulgrew B.Applying radial basis functions [J].IEEE Signal Processing Magazine,1996,13(2):50-65.
[5] Kansa E J.Multiquadricsa scattered data approximation scheme with applications to computational fluid-dynamics I surface approximations and partial derivative estimates [J].Computers and Mathematics with applications,1990,19(8):127-145.
[6] Hardy R L.Theory and applications of the multiquadric-biharmonic method 20 years of discovery [J].Computers and Mathematics with Applications,1990,19(8):163-208.
[7] Cheng H D,Golberg M A,Kansa E J,et al.Exponential convergence and H-c multiquadric collocation method for partial differential equations [J].Numerical Methods for Partial Differential Equations,2003,19(5):571-594.
[8] Franke C,Schaback R.Solving partial differential equations by collocation using radial basis functions [J].Applied Mathematics and Computation,1998,93(1):73-82.
[9] 黄奕勇,张育林.配点法研究 [J].弹道学报,1998,10(3):66-69.
[10] 马良荣,张德澄.矩阵SVD分解法在工程数值计算中的应用 [J].宁夏大学学报:自然科学版,1998,19(2):125-127.
[11] 鲁铁定,陶本藻,周世健.矩阵SVD分解性质及其在秩亏网平差中的应用 [J].大地测量与地球动力学,2007,27(5):63-67.
[12] Hansen P C.Regularization tools:A matlab package for analysis and solution of discrete ill-posed problems [J].Numerical algorithms,1994,6(1),1-35.
[13] Cline A K,Wilkinson J H.An estimate for the condition number of a matrix [J].Siam Journal on Numerical Analysis,1979,16(16),368-375.
[14] Kirsch A.An introduction to the mathematical theory of inverse problem [M].2nd ed.New York:Springer-Verlag,2011.
[15] Engl H W,Hanke M,Neubamer A.Regularization of inverse problem [M].Dordrecht:Kluwer Academic Publishers,1996.
[16] 刘继军.不适定问题的正则化方法及应用 [M].北京:科学出版社,2005.
[17] Cheng Jin,Yamaoto M.One new strategy for a priori choice of regularizing parameters in Tikhonov’s regularization [J].Inverse Problems,2000,16(4):31-38.
[18] 黄小为,吴传生,李卓球.TSVD正则化方法的参数选取及数值计算 [J].华中师范大学学报:自然科学版,2006,40(2):154-157.
[19] 黄小为,吴传生,朱华平.求解不适定问题的TSVD正则化方法 [J].武汉理工大学学报,2005,27(2):90-92.