| Title:
|
A product integral representation of the generalized inverse (English) |
| Author:
|
Groetsch, Charles W. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
16 |
| Issue:
|
1 |
| Year:
|
1975 |
| Pages:
|
13-20 |
| . |
| Category:
|
math |
| . |
| MSC:
|
15A09 |
| MSC:
|
15A15 |
| MSC:
|
47A10 |
| MSC:
|
47A50 |
| MSC:
|
47A60 |
| idZBL:
|
Zbl 0298.47007 |
| idMR:
|
MR0390815 |
| . |
| Date available:
|
2008-06-05T20:46:52Z |
| Last updated:
|
2012-04-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105602 |
| . |
| Reference:
|
[1] C. W. GROETSCH: Representations of the generalized inverse.J. Math. Anal. Appl. (to appear). Zbl 0295.47012, MR 0361877 |
| Reference:
|
[2] C. W. GROETSCH: Some aspects of Mann's iterative method for approximating fixed points.in "Computing Fixed Points and Applications" (ed. S. Karamardian), Academic Press (to appear). Zbl 0452.90089, MR 0451690 |
| Reference:
|
[3] K. KNOPP: Theory and Application of Infinite Series.Blackie and Son, London, 1928. |
| Reference:
|
[4] L. J. LARDY: Some iterative methods for linear operator equations with applications to generalized inverses.Technical Report TR 63-65, Department of Mathematics, University of Maryland, November 1973. |
| Reference:
|
[5] D. L. LOVELADY: Perturbations of solutions of Stieltjes integral equations.Trans. Amer. Math. Soc. 155 (1971), 175-187. Zbl 0215.19301, MR 0433175 |
| Reference:
|
[6] J. S. MacNERNEY: Continuous products in linear spaces.J. Elisha Mitchell Sci. Soc. 71 (1955), 185-200. Zbl 0067.09001, MR 0079234 |
| Reference:
|
[7] J. S. MacNERNEY: Integral equations and semigroups.Illinois J. Math. 7 (1963), 148-173. Zbl 0142.09301, MR 0144179 |
| Reference:
|
[8] R. H. MARTIN, Jr.: Product integral approximations of solutions to linear operator equations.Proc. Amer. Math. Soc. 41 (1973), 506-512. Zbl 0287.47008, MR 0380463 |
| Reference:
|
[9] P. R. MASANI: Multiplicative Riemann integration in normed rings.Trans. Amer. Math. Soc. 61 (1947), 147-192. Zbl 0037.03802, MR 0018719 |
| Reference:
|
[10] M. Z. NASHED: Generalized inverses, normal solvability and iteration for singular operator equations.in "Nonlinear Functional Analysis and Applications" (ed. L. B. Rall), Academic Press, New York, 1971. Zbl 0236.41015, MR 0275246 |
| Reference:
|
[11] G. RASCH: Zur Theorie und Anwendung des Produktintegrals.J. Reine Angew. Math. 171 (1934), 65-119. Zbl 0009.16503 |
| Reference:
|
[12] L. SCHLESINGER: Neue Grundlage für einen Infinitesimalkalkül der Matrizen.Math. Z. 33 (1931), 33-61. MR 1545200 |
| Reference:
|
[13] D. SHOWALTER: Representation and computation of the pseudoinverse.Proc. Amer. Math. Soc. 18 (1967), 584-586. Zbl 0148.38205, MR 0212594 |
| Reference:
|
[14] V. VOLTERRA: Sulle equazioni differenziali lineari.Rend. Accad. dei Lincei (4) 3 (1887), 393-396. |
| . |
