| Title:
|
The Moore-Penrose inverse of a partitioned morphism in an additive category (English) |
| Author:
|
Peška, Petr |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
50 |
| Issue:
|
4 |
| Year:
|
2000 |
| Pages:
|
437-452 |
| . |
| Category:
|
math |
| . |
| MSC:
|
15A09 |
| MSC:
|
18B99 |
| MSC:
|
18E05 |
| idZBL:
|
Zbl 0989.18007 |
| idMR:
|
MR1857299 |
| . |
| Date available:
|
2009-09-25T11:46:32Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/129188 |
| . |
| Reference:
|
[1] ADÁMEK J.: Mathematical Structures and Categories.SNTL, Praha, 1982. (Czech) |
| Reference:
|
[2] ALBERT A.: Regression and the Moore-Penrose Pseudoinverse.Academic Press, New York-London, 1972 [Russian translation: Moskva, 1977]. Zbl 0253.62030, MR 0331659 |
| Reference:
|
[3] BÖRGER R.: On the existence of Moore-Penrose-inverses in categories with involution.In: Workshop on Category Theory. Math.-Arbeitspapiere Nr. 28, Uni Bremen, 1987. |
| Reference:
|
[4] CALENKO M. S.-SULGEJFER E. G.: Osnovy teorii kategorij.Nauka, Moskva, 1974. (Russian) |
| Reference:
|
[5] CHIPMAN J. S.: Specification problems in regression analysis.In: Proceedings of the Symposium on Theory of Generalized Inverses of Matrices, Lubbock, Texas, 1968 (T. L. Boullion, P. L. Odel, eds.), 1969, pp. 114-176. MR 0254984 |
| Reference:
|
[6] CLINE. R. E.: Representations for the generalized inverse of partitioned matrix.J. Soc. Ind. Appl. Math. 12 (1964), 5S8-600. MR 0172890 |
| Reference:
|
[7] GREVILLE. T. N. E.: Some applications of the pseudoinverse of a matrix.SIAM Rev. 2 (1960), 15-22. Zbl 0168.13303, MR 0110185 |
| Reference:
|
[8] MITCHELL B.: Theory of Categories.Academic Press, New York-London, 1965. Zbl 0136.00604, MR 0202787 |
| Reference:
|
[9] PEŠKA P.: Pseudoinverse Matrices and Algorithms of their Computation in MATLAB.Thesis, Masaryk University, Brno, 1995. (Czech) |
| Reference:
|
[10] PUYSTJENS R.-ROBINSON D. W.: The Moore-Penrose inverse of a morphism in an additive category.Comm. Algebra 12 (1984), 287-299. Zbl 0534.18004, MR 0737249 |
| Reference:
|
[11] SKULA L.: Involution for matrices and generalized, inverses.Linear Algebra Appl. 271 (1998), 283-308. MR 1485173 |
| . |
