Brève communication. Sur la séparation des valeurs propres d'une matrice positive
- Volume: 4, Issue: R3, page 118-124
- ISSN: 0764-583X
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topMaitre, J. F.. "Brève communication. Sur la séparation des valeurs propres d'une matrice positive." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 4.R3 (1970): 118-124. <http://eudml.org/doc/193147>.
@article{Maitre1970,
author = {Maitre, J. F.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
language = {fre},
number = {R3},
pages = {118-124},
publisher = {Dunod},
title = {Brève communication. Sur la séparation des valeurs propres d'une matrice positive},
url = {http://eudml.org/doc/193147},
volume = {4},
year = {1970},
}
TY - JOUR
AU - Maitre, J. F.
TI - Brève communication. Sur la séparation des valeurs propres d'une matrice positive
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1970
PB - Dunod
VL - 4
IS - R3
SP - 118
EP - 124
LA - fre
UR - http://eudml.org/doc/193147
ER -
References
top- [1] F. L. BAUER, An elementary proof of the Hopf inequality for positive operators, Num. Math., 331-337 (1965). Zbl0148.38103MR188785
- [2] F. L. BAUER, E. DEUTSCH und J. STOER, Abschätzungen für die Eigenwerte positiver linearer Operatoren, Linear Algebra and its applications, 2, 275-301 (1969). Zbl0199.45102MR245587
- [3] G. BIRKHOFF, Extensions of Jentzch's Theorem, Trans. Amer. Math. Soc., 85, 219-227 (1957). Zbl0079.13502MR87058
- [4] E. DEUTSCH, Zum Perron-Eigenwert positiver linearer Abbildungen , Dissertation, München (1967).
- [5] G. FROBENIUS, Uber Matrizen aus positiven Elementen, Akad. Wiss. Berlin, I, 514-518 (1908) ; II, 456-477 (1912). JFM40.0202.02
- [6] E. HOPF, An inequality for positive linear integral operators, J. of Math. and Mech., 12, 683-692 (1963). Zbl0115.32501MR165325
- [7] M. G. KREIN and M. A. RUTMAN, Linear operators leaving invariant a cone in a Banach space, Uspehi Math. Nauk (N.S.) 3, n° 1 (23), 3-95 (1948). Amer Math. Soc. Transl. ser., 1, 10, 199-325 (1950). Zbl0030.12902MR27128
- [8] M. S. LYNN and W. P. TIMLAKE, Bounds for Perron eigenvectors and subdominant eigenvalues of positive matrices, Linear Algebra and its Applications, 2, 143-152 (1969). Zbl0174.31703MR240123
- [9] J. F. MAITRE, Semi-normes et localisation des valeurs propres d'un opérateur, Séminaire d'Analyse Numérique, Grenoble (1967).
- [10] J. F. MAITRE, Sur certaines fonctionnelles dans un espace préordonné et l'équivalence entre semi-normes et oscillation, Séminaire d'Analyse Numérique, Grenoble (1970).
- [11] M. MARCUS and H. MINC, A survey of Matrix Theory and Matrix Inequalities, Allyn and Bacon, Inc., Boston (1964). Zbl0126.02404MR162808
- [12] A. M. OSTROWSKI, On positive matrices, Math. Ann., 150, pp. 276-284 (1963). Zbl0115.24803MR148680
- [13] A. M. OSTROWSKI, Positive Matrices and Functional Analysis, in : Recent advances in Matrix Theory. Schneider Ed. Madison. Univ. of Wisconsin Press (1964). Zbl0135.01504MR169858
- [14] O. PERRON, Zur Theorie der Matrizen, Math. Ann., 64, 248-263 (1908). JFM38.0202.01
- [15] H. H. SCHAEFER, Topological Vector Spaces, Mac Millan Co., New York (1966). Zbl0141.30503MR193469
- [16] H. H. SCHAEFER, Eine Abschätzung der nichttrivialen Eigenwerte stochastischer Matrizen, Numer. Math., 15, 219-223 (1970). Zbl0206.46401MR275653
- [17] R. S. VARGA, Matrix Iterative Analysis, Prentice Hall, Inc. Englewood Cliffs, New Jersey (1962). Zbl0133.08602MR158502
- [18] H. WIELANDT, Unzerlegbare nich negative Matrizen, Math. Z., 52, 642-648 (1950). Zbl0035.29101MR35265
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