On the partial ordering of almost definite matrices

Ar. Meenakshi

Czechoslovak Mathematical Journal (1989)

  • Volume: 39, Issue: 1, page 169-175
  • ISSN: 0011-4642

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Meenakshi, Ar.. "On the partial ordering of almost definite matrices." Czechoslovak Mathematical Journal 39.1 (1989): 169-175. <http://eudml.org/doc/13765>.

@article{Meenakshi1989,
author = {Meenakshi, Ar.},
journal = {Czechoslovak Mathematical Journal},
keywords = {almost definite matrices; partial ordering; Hermitian positive semi- definite},
language = {eng},
number = {1},
pages = {169-175},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the partial ordering of almost definite matrices},
url = {http://eudml.org/doc/13765},
volume = {39},
year = {1989},
}

TY - JOUR
AU - Meenakshi, Ar.
TI - On the partial ordering of almost definite matrices
JO - Czechoslovak Mathematical Journal
PY - 1989
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 39
IS - 1
SP - 169
EP - 175
LA - eng
KW - almost definite matrices; partial ordering; Hermitian positive semi- definite
UR - http://eudml.org/doc/13765
ER -

References

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  1. A. Albert, 10.1137/0117041, SIAM. J. Appl. Math. 17 (1969) 434-440. (1969) Zbl0265.15002MR0245582DOI10.1137/0117041
  2. R. Bellmann, Introduction to Matrix Analysis, McGraw Hill, New York (1960). (1960) MR0122820
  3. D. Carlson E. Haynsworth, Th. Markham, 10.1137/0126013, SIAM. J. Appl. Math. 26 (1974) 169-175. (1974) Zbl0245.15002MR0347843DOI10.1137/0126013
  4. R. J. Duffin, T. D. Morley, 10.1137/0135003, SIAM. J. Appl. Math. 35 (1978) 21-30. (1978) Zbl0387.47011MR0496067DOI10.1137/0135003
  5. Hans J. Werner, 10.1016/0024-3795(79)90036-3, J. Linear Algebra and Appl. 27 (1979) 141-145. (1979) Zbl0418.15018MR0545727DOI10.1016/0024-3795(79)90036-3
  6. R. E. Hartwig, 10.1080/03081087808817240, J. Linear and Multilinear Alg. 6 (1978) 223-226. (1978) Zbl0408.15015MR0506330DOI10.1080/03081087808817240
  7. T. O. Lewis, T. G. Newman, 10.1137/0116057, SIAM. J. Appl. Math. 10 (1968) 701-703. (1968) Zbl0164.03102MR0233826DOI10.1137/0116057
  8. A R. Meenakshi, On Almost Positive definite matrices, Tech. Report # 8616, Indian Statistical Institute, New Delhi, August 1986. (1986) 
  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. (1983) Zbl0506.15001MR0701575
  10. S. K. Mitra, P. L. Odell, 10.1016/0024-3795(86)90126-6, J. Linear Algebra. Appl. 74 (1986) 239-255. (1986) Zbl0589.15004MR0822150DOI10.1016/0024-3795(86)90126-6

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