On moment-discretization and least-squares solutions of linear integral equations of the first kind

Journal of Mathematical Analysis and Applications

Volumn 53, Issue 2, 1976, Pages 359-366

  Nashed, M Z ^a  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0006576081     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/0022-247X(76)90115-3     Document Type: Article

References (18)

1. On iteration procedures for equations of the first kind, Ax = y, and Picard's criterion for the existence of a solution
2. Optimal quadrature formulas using generalized inverses. Part I. General theory and minimum variance formulas
3. Optimal approximation and error bounds
4. A numerical method for solving Fredholm integral equations of the first kind
5. Iterative methods for best approximate solutions of linear integral equations of the first and second kinds
6. Generalized inverses, normal solvability, and iteration for singular operator equations
7. Convergence rates of approximate least squares solutions of linear integral and operator equations of the first kind
8. On discretization and differentiation of operators with application to Newton's method
9. Numerical algorithms for the Moore-Penrose inverse of a matrix: Direct methods
10. Integral Equations
11. Theory and methods related to the singular-function expansion ann Landweber's iteration for integral equations of the first kind