Determinantal representation of { I , J , K } inverses and solution of linear systems

Stanimirović, Predrag

Mathematica Slovaca (1999)

  • Volume: 49, Issue: 3, page 273-286
  • ISSN: 0232-0525

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Stanimirović, Predrag. "Determinantal representation of $\lbrace I,J,K\rbrace $ inverses and solution of linear systems." Mathematica Slovaca 49.3 (1999): 273-286. <http://eudml.org/doc/31654>.

@article{Stanimirović1999,
author = {Stanimirović, Predrag},
journal = {Mathematica Slovaca},
keywords = {determinantal representation; generalized inverse; linear systems},
language = {eng},
number = {3},
pages = {273-286},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Determinantal representation of $\lbrace I,J,K\rbrace $ inverses and solution of linear systems},
url = {http://eudml.org/doc/31654},
volume = {49},
year = {1999},
}

TY - JOUR
AU - Stanimirović, Predrag
TI - Determinantal representation of $\lbrace I,J,K\rbrace $ inverses and solution of linear systems
JO - Mathematica Slovaca
PY - 1999
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 49
IS - 3
SP - 273
EP - 286
LA - eng
KW - determinantal representation; generalized inverse; linear systems
UR - http://eudml.org/doc/31654
ER -

References

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  10. JOSHI V. N., A determinant for rectangular matrices, Bull. Australl. Math. Soc. 21 (1980), 137-146. (1980) Zbl0421.15007MR0569094
  11. MIAO J., Reflexive generalized inverses and their minors, Linear and Multilinear Algebra 35 (1993), 153-163. (1993) Zbl0787.15006MR1308684
  12. PENROSE R., A generalized inverse for matrices, Proc. Cambridge Philos. Soc. 51 (1955), 406-413. (1955) Zbl0065.24603MR0069793
  13. PRASAD K. M.-BHASKARA RAO K. P. S.-BAPAT R. B., Generalized inverses over integral domains. II. Group inverses and Drazin inverses, Linear Algebra Appl. 146 (1991), 31-47. (1991) MR1083462
  14. PRASAD K. M.-BAPAT R. B., The generalized Moore-Penrose inverse, Linear Algebra Appl. 165 (1992), 59-69. (1992) Zbl0743.15007MR1149746
  15. PRASAD K. M., Generalized inverses of matrices over commutative ring, Linear Algebra Appl. 211 (1994), 35-53. (1994) MR1295870
  16. RADIC M., Some contributions to the inversions of rectangular matrices, Glas. Mat. 1(21) (1966), 23-37. (1966) MR0209301
  17. RADIC M., A definition of the determinant of a rectangular matrix, Glas. Mat. 1(21) (1966), 17-22. (1966) Zbl0168.02703MR0209303
  18. RAO C. R.-MITRA S. K., Generalized Inverse of Matrices and its Applications, John Wiley & Sons, Inc, New York-London-Sydney-Toronto, 1971. (1971) Zbl0236.15005MR0338013
  19. STANIMIROVIČ P.-STANKOVIČ M., Determinantal representation of weighted Moore-Penrose inverse, Mat. Vesnik 46 (1994), 41-50. (1994) Zbl0840.15005MR1311834
  20. STANIMIROVIČ P.-STANKOVIČ M., Generalized algebraic complement and Moore-Penrose inverse, Filomat 8 (1994), 57-64. (1994) Zbl0826.15003MR1342183
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