Nonsingularity and P -matrices.

Jiří Rohn

Aplikace matematiky (1990)

  • Volume: 35, Issue: 3, page 215-219
  • ISSN: 0862-7940

Abstract

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New proofs of two previously published theorems relating nonsingularity of interval matrices to P -matrices are given.

How to cite

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Rohn, Jiří. "Nonsingularity and $P$-matrices.." Aplikace matematiky 35.3 (1990): 215-219. <http://eudml.org/doc/15626>.

@article{Rohn1990,
abstract = {New proofs of two previously published theorems relating nonsingularity of interval matrices to $P$-matrices are given.},
author = {Rohn, Jiří},
journal = {Aplikace matematiky},
keywords = {nonsingular matrices; $P$-matrices; nonsingularity; interval matrix; P-matrix},
language = {eng},
number = {3},
pages = {215-219},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Nonsingularity and $P$-matrices.},
url = {http://eudml.org/doc/15626},
volume = {35},
year = {1990},
}

TY - JOUR
AU - Rohn, Jiří
TI - Nonsingularity and $P$-matrices.
JO - Aplikace matematiky
PY - 1990
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 35
IS - 3
SP - 215
EP - 219
AB - New proofs of two previously published theorems relating nonsingularity of interval matrices to $P$-matrices are given.
LA - eng
KW - nonsingular matrices; $P$-matrices; nonsingularity; interval matrix; P-matrix
UR - http://eudml.org/doc/15626
ER -

References

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  1. M. Fiedler, Special Matrices and Their Use in Numerical Mathematics, (Czech). SNTL, Prague 1981. (1981) Zbl0531.65008
  2. M. Fiedler V. Pták, On Matrices with Non-Positive Off-Diagonal Elements and Positive Principal Minors, Czechoslovak Math. J. 12 (1962), 382-400. (1962) Zbl0131.24806MR0142565
  3. D. Gale H. Nikaido, 10.1007/BF01360282, Math. Annalen 159 (1965), 81-93. (1965) Zbl0158.04903MR0204592DOI10.1007/BF01360282
  4. S. Poljak J. Rohn, Radius of Nonsingularity, KAM Series 88-117, Charles University, Prague 1988. (1988) 
  5. J. Rohn, 10.1016/0024-3795(89)90004-9, Lin. Alg. and Its Appls. 126 (1989), 39-78. (1989) Zbl0712.65029MR1040771DOI10.1016/0024-3795(89)90004-9
  6. J. Rohn, Characterization of a Linear Program in Standard Form by a Family of Linear Programs with Inequality Constraints, To appear in Ekon.-Mat. Obzor. Zbl0705.90053MR1059547
  7. H. Samelson R. Thrall O. Wesler, A Partition Theorem for Euclidean n-Space, Proc. of the Amer. Math. Society 9 (1958), 805-807. (1958) Zbl0117.37901MR0097025

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