Second-Order Approximation of the Pseudoinverse for Operator Deconvolutions and Families of Ill-Posed Problems

DOI10.1137/S0036139997315854zbMath0969.65121OpenAlexW1965111096MaRDI QIDQ4237225

Fred Greensite

Publication date: 31 March 1999

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036139997315854

zbMATH Keywords

numerical exampleregularizationinverse problemsill-posed problemsdeconvolutionconvolutionssingular value expansioninverse problem of electrocardiographybioelectric/biomagnetic source imaging problemsfirst kind Fredholm equations

Mathematics Subject Classification ID

Systems of singular linear integral equations (45F15) Numerical methods for integral equations (65R20) Numerical methods for ill-posed problems for integral equations (65R30) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

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