| Title:
|
On the partial ordering of almost definite matrices (English) |
| Author:
|
Meenakshi, Ar. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
39 |
| Issue:
|
1 |
| Year:
|
1989 |
| Pages:
|
169-175 |
| . |
| Category:
|
math |
| . |
| MSC:
|
15A48 |
| idZBL:
|
Zbl 0689.15009 |
| idMR:
|
MR983494 |
| DOI:
|
10.21136/CMJ.1989.102289 |
| . |
| Date available:
|
2008-06-09T15:26:02Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102289 |
| . |
| Reference:
|
[1] A. Albert: Conditions for positive and nonnegative definiteness in terms of pseudo inverse.SIAM. J. Appl. Math. 17 (1969) 434-440. MR 0245582, 10.1137/0117041 |
| Reference:
|
[2] R. Bellmann: Introduction to Matrix Analysis.McGraw Hill, New York (1960). MR 0122820 |
| Reference:
|
[3] D. Carlson E. Haynsworth, Th. Markham: Generalization of Schur complement by means of Moore Penrose inverse.SIAM. J. Appl. Math. 26 (1974) 169-175. MR 0347843, 10.1137/0126013 |
| Reference:
|
[4] R. J. Duffin, T. D. Morley: Almost definite operators and electromechanical systems.SIAM. J. Appl. Math. 35 (1978) 21-30. MR 0496067, 10.1137/0135003 |
| Reference:
|
[5] Hans J. Werner: On the Matrix Monotonicity of generalized inversion.J. Linear Algebra and Appl. 27 (1979) 141-145. MR 0545727, 10.1016/0024-3795(79)90036-3 |
| Reference:
|
[6] R. E. Hartwig: A note on the partial orderings on positive semi definite matrices.J. Linear and Multilinear Alg. 6 (1978) 223-226. MR 0506330, 10.1080/03081087808817240 |
| Reference:
|
[7] T. O. Lewis, T. G. Newman: Pseudoinverses of positive semidefinite matrices.SIAM. J. Appl. Math. 10 (1968) 701-703. Zbl 0164.03102, MR 0233826, 10.1137/0116057 |
| Reference:
|
[8] A R. Meenakshi: On Almost Positive definite matrices.Tech. Report # 8616, Indian Statistical Institute, New Delhi, August 1986. |
| Reference:
|
[9] S. K. Mitra, M. L. Puri: The Fundamental Bordered Matrix of Linear Estimation and the Duffin-Morley General Linear Electromechanical Systems.Applicable Analysis, 14 (1983) 241-258. Zbl 0506.15001, MR 0701575 |
| Reference:
|
[10] S. K. Mitra, P. L. Odell: On parallel Summability of matrices.J. Linear Algebra. Appl. 74 (1986) 239-255. Zbl 0589.15004, MR 0822150, 10.1016/0024-3795(86)90126-6 |
| . |
