Generalized norms of matrices and the location of the spectrum

Miroslav Fiedler; Vlastimil Pták

Czechoslovak Mathematical Journal (1962)

  • Volume: 12, Issue: 4, page 558-571
  • ISSN: 0011-4642

How to cite

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Fiedler, Miroslav, and Pták, Vlastimil. "Generalized norms of matrices and the location of the spectrum." Czechoslovak Mathematical Journal 12.4 (1962): 558-571. <http://eudml.org/doc/12148>.

@article{Fiedler1962,
author = {Fiedler, Miroslav, Pták, Vlastimil},
journal = {Czechoslovak Mathematical Journal},
keywords = {linear algebra, polynomials, forms},
language = {eng},
number = {4},
pages = {558-571},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Generalized norms of matrices and the location of the spectrum},
url = {http://eudml.org/doc/12148},
volume = {12},
year = {1962},
}

TY - JOUR
AU - Fiedler, Miroslav
AU - Pták, Vlastimil
TI - Generalized norms of matrices and the location of the spectrum
JO - Czechoslovak Mathematical Journal
PY - 1962
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 12
IS - 4
SP - 558
EP - 571
LA - eng
KW - linear algebra, polynomials, forms
UR - http://eudml.org/doc/12148
ER -

References

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  1. A. Brauer, Limits for the characteristic roots of a matrix I - V, Duke Math. Journal 13 (1946), 387-395; 14 (1947), 21-26; 15 (1948), 871-877; 19 (1952), 75-91; 19 (1952), 553-562. (1946) MR0020540
  2. K. Fan A. J. Hoffman, Lower bounds for the rank and location of the eigenvalues of a matrix, Nat. Bur. Stand. Appl. Math. Ser. 39, 117 - 130. MR0064732
  3. M. Fiedler V. Pták, On matrices with non-positive off-diagonal elements and positive principal minors, Czech. Math. Journal 87 (1962), 382-400. (1962) MR0142565
  4. M. Fiedler V. Pták, Some inequalities for the spectrum of a matrix, Matem.-fyz. časopis SAV 10 (1960), 148-166. (1960) MR0124334
  5. S. Geršgorin, Über die Abgrenzung der Eigenwerte einer Matrix, Izv. Akad. Nauk SSSR 7 (1931), 749-754. (1931) 
  6. A. Ostrowski, Sur les conditions générales pour la régularité des matrices, Rend. di Matem. e delle sue appl. 10 (1951), 156-168. (1951) Zbl0044.25201MR0049151

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