A generalization of a matrix iterative method of G. Cimmino to best approximate solution of linear integral equations of the first kind
William J. Kammerer; M. Zuhair Nashed
- Volume: 51, Issue: 1-2, page 20-25
- ISSN: 0392-7881
Access Full Article
topAbstract
topHow to cite
topKammerer, William J., and Nashed, M. Zuhair. "A generalization of a matrix iterative method of G. Cimmino to best approximate solution of linear integral equations of the first kind." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 51.1-2 (1971): 20-25. <http://eudml.org/doc/296100>.
@article{Kammerer1971,
author = {Kammerer, William J., Nashed, M. Zuhair},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {7},
number = {1-2},
pages = {20-25},
publisher = {Accademia Nazionale dei Lincei},
title = {A generalization of a matrix iterative method of G. Cimmino to best approximate solution of linear integral equations of the first kind},
url = {http://eudml.org/doc/296100},
volume = {51},
year = {1971},
}
TY - JOUR
AU - Kammerer, William J.
AU - Nashed, M. Zuhair
TI - A generalization of a matrix iterative method of G. Cimmino to best approximate solution of linear integral equations of the first kind
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1971/7//
PB - Accademia Nazionale dei Lincei
VL - 51
IS - 1-2
SP - 20
EP - 25
LA - eng
UR - http://eudml.org/doc/296100
ER -
References
top- CIMMINO, G., Calcolo approssimato per le soluzioni dei sistemi di equazioni lineari, «La Ricerca Scientifica», Roma, Serie II, 326-333 (1938).
- VOTRUBA, G. F., Generalized Inverses and Singular Equations in Functional Analysis, Ph. D. Dissertation, University of Michigan, Ann Arbor, 1963. MR2614652
- PENROSE, R., A generalized inverse for matrices, «Proc. Camb. Phil. Soc.», 51, 406-413 (1955). Zbl0065.24603MR69793
- PENROSE, R., On best approximate solutions of linear matrix equations, «Proc. Camb. Phil. Soc.», 52, 17-19 (1956). Zbl0070.12501MR74092
- TRICOMI, F., Integral Equations, Interscience, New York, 1957. Zbl0078.09404MR94665
- MIKHLIN, S. G. and SMOLITSKIY, K. L., Approximate Methods for Solution of Differential and Integral Equations, American Elsevier, New York, 1967. MR218019
- KELLER, H. B., The solution of singular and semidefinite linear systems by iteration, «SIAM J. Numer. Anal.», 2, 281-290 (1965). Zbl0135.37503MR195244
- PETRYSHYN, W. V., On generalized inverses and uniform convergence of with applicatipns to iterative methods, «J. Math. Anal. Appl.», 18, 417-439 (1967). Zbl0189.47502MR208381DOI10.1016/0022-247X(67)90036-4
- ARGHIRIADE, E., Sur l'inverse généralisée d'un operateur linéaire dans les espaces de Hilbert, «Rend. Acc. dei Lincei», 45, fasc. 6, 471-477 (1968). Zbl0186.45103MR247440
- ARGHIRIADE, E. and DRAGOMIR, A., Remarques sur quelques theorems relatives à l'inverse généralisée d'un operateur linéaire dans les espaces de Hilbert, «Rend. Acc. dei Lincei», 46, fasc. 4, 333-338 (1969). Zbl0186.45104MR256140
- KÄMMERER, W. J. and NASHED, M. Z., Steepest descent for singular linear operators with nonclosed range, «Applicable Analysis», 1143-159 (1971). Zbl0212.15802MR290134DOI10.1080/00036817108839011
- KÄMMERER, W. J. and NASHED, M. Z., On the convergence of the conjugate gradient method for singular linear operator equations, «SIAM J. Numer. Analysis», to appear. MR319368DOI10.1137/0709016
- SHOWALTER, D. W. and BEN-ISRAEL, A., Representation and computation of the generalized inverse of a bounded linear operator between two Hilbert spaces, «Rend. Acc. dei Lincei», 48, fasc. 2, 184-194 (1970). Zbl0202.41703MR273432
NotesEmbed ?
topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.