On matrices with non-positive off-diagonal elements and positive principal minors
Miroslav Fiedler; Vlastimil Pták
Czechoslovak Mathematical Journal (1962)
- Volume: 12, Issue: 3, page 382-400
- ISSN: 0011-4642
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topFiedler, Miroslav, and Pták, Vlastimil. "On matrices with non-positive off-diagonal elements and positive principal minors." Czechoslovak Mathematical Journal 12.3 (1962): 382-400. <http://eudml.org/doc/12135>.
@article{Fiedler1962,
author = {Fiedler, Miroslav, Pták, Vlastimil},
journal = {Czechoslovak Mathematical Journal},
keywords = {linear algebra, polynomials, forms},
language = {eng},
number = {3},
pages = {382-400},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On matrices with non-positive off-diagonal elements and positive principal minors},
url = {http://eudml.org/doc/12135},
volume = {12},
year = {1962},
}
TY - JOUR
AU - Fiedler, Miroslav
AU - Pták, Vlastimil
TI - On matrices with non-positive off-diagonal elements and positive principal minors
JO - Czechoslovak Mathematical Journal
PY - 1962
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 12
IS - 3
SP - 382
EP - 400
LA - eng
KW - linear algebra, polynomials, forms
UR - http://eudml.org/doc/12135
ER -
References
top- K. Fan, 10.1007/BF01303967, Monatsh. Math. 62 (1958), 219-237. (1958) Zbl0081.25104MR0095856DOI10.1007/BF01303967
- K. Fan, 10.1093/qmath/11.1.43, Quart. J. Math. 11 (1960), 43-49. (1960) Zbl0104.01203MR0117242DOI10.1093/qmath/11.1.43
- K. Fan A. J. Hoffman, Lower bounds for the rank and location of the eigenvalues of a matrix. Contributions to the solution of systems of linear equations and the determination of eigenvalues, NBS Appl. Math. Ser. 39, 117-130. MR0064732
- K. Fan A. S. Householder, 10.1007/BF01295199, Monatshefte Math. 63 (1959), 265-270. (1959) MR0105423DOI10.1007/BF01295199
- Д. M. Коmелянскш, Оценки для определителей матриц с преобладающей главной диагональю, ИАН, сер. матем., 20 (1956), 137-144. (1956) Zbl0995.90520MR0075917
- А. Ostrowski, 10.1007/BF02564340, Commentarii Math. Helv. 3° (1956), 175 - 210. (1956) Zbl0072.13803MR0076433DOI10.1007/BF02564340
- R. S. Varga, On a lemma of Stieltjes on matrices, Westinghouse Technical Report WAPD-T-566.
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- M. Smyth, T. West, The minimum, diagonal element of a positive matrix
- Ludwig F. Elsner, Christopher R. Johnson, M. Neumann, On the effect of the perturbation of a nonnegative matrix on its Perron eigenvector
- Miroslav Fiedler, Vlastimil Pták, Some results on matrices of class and their application to the convergence rate of iteration procedures
- Soo R. Lee, Mohamad Jamshidi, Stability analysis for large scale time delay systems via the matrix Lyapunov function
- Guangyou Ji, Mingzhe Wang, Analysis of structural properties of Petri nets based on product incidence matrix
- Igor Konnov, Elena Mazurkevich, Mohamed Ali, On a regularization method for variational inequalities with P_0 mappings
- Russell Johnson, Alberto Tesi, On the -stability problem for real matrices
- Olga Y. Kushel, On a criterion of D-stability for P-matrices
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