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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Fiedler, 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

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  1. K. Fan, 10.1007/BF01303967, Monatsh. Math. 62 (1958), 219-237. (1958) Zbl0081.25104MR0095856DOI10.1007/BF01303967
  2. K. Fan, 10.1093/qmath/11.1.43, Quart. J. Math. 11 (1960), 43-49. (1960) Zbl0104.01203MR0117242DOI10.1093/qmath/11.1.43
  3. 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
  4. K. Fan A. S. Householder, 10.1007/BF01295199, Monatshefte Math. 63 (1959), 265-270. (1959) MR0105423DOI10.1007/BF01295199
  5. Д. M. Коmелянскш, Оценки для определителей матриц с преобладающей главной диагональю, ИАН, сер. матем., 20 (1956), 137-144. (1956) Zbl0995.90520MR0075917
  6. А. Ostrowski, 10.1007/BF02564340, Commentarii Math. Helv. 3° (1956), 175 - 210. (1956) Zbl0072.13803MR0076433DOI10.1007/BF02564340
  7. R. S. Varga, On a lemma of Stieltjes on matrices, Westinghouse Technical Report WAPD-T-566. 

Citations in EuDML Documents

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  1. Luc Tartar, Brève communication. Une nouvelle caractérisation des M matrices
  2. J. F. Durand, L'algorithme de Gauss-Seidel appliqué à un problème unilatéral non symétrique
  3. M. Smyth, T. West, The minimum, diagonal element of a positive matrix
  4. Miroslav Fiedler, Vlastimil Pták, Some results on matrices of class K and their application to the convergence rate of iteration procedures
  5. Ludwig F. Elsner, Christopher R. Johnson, M. Neumann, On the effect of the perturbation of a nonnegative matrix on its Perron eigenvector
  6. Soo R. Lee, Mohamad Jamshidi, Stability analysis for large scale time delay systems via the matrix Lyapunov function
  7. Guangyou Ji, Mingzhe Wang, Analysis of structural properties of Petri nets based on product incidence matrix
  8. Igor Konnov, Elena Mazurkevich, Mohamed Ali, On a regularization method for variational inequalities with P_0 mappings
  9. Olga Y. Kushel, On a criterion of D-stability for P-matrices
  10. Miroslav Fiedler, Vlastimil Pták, Diagonally dominant matrices

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