Computation of the singular value expansion
A method for computing the singular values and singular functions of real square-integrable kernels is presented. The analysis shows that a ``good'' discretization always yields a matrix whose singular value decomposition is closely related to the singular value expansion of the kernel. This relationship is important in connection with the solution of ill-posed problems since it shows that regularization of the algebraic problem, derived from an integral equation, is equivalent to the integral equation itself.
Fredholm integral equations of the first kind, singular value expansion, singular value decomposition, method of moments, regularization
scientific article; zbMATH DE number 4026769
scientific article