On a singular set for the restriction of the characteristic map to a linear subspace of ℳ n

Marcin Skrzyński

Mathematica Slovaca (2004)

  • Volume: 54, Issue: 3, page 229-236
  • ISSN: 0232-0525

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Skrzyński, Marcin. "On a singular set for the restriction of the characteristic map to a linear subspace of $\mathcal {M}_n$." Mathematica Slovaca 54.3 (2004): 229-236. <http://eudml.org/doc/32137>.

@article{Skrzyński2004,
author = {Skrzyński, Marcin},
journal = {Mathematica Slovaca},
keywords = {characteristic polynomial of a matrix; characteristic map; dominant map; linear space of matrices},
language = {eng},
number = {3},
pages = {229-236},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On a singular set for the restriction of the characteristic map to a linear subspace of $\mathcal \{M\}_n$},
url = {http://eudml.org/doc/32137},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Skrzyński, Marcin
TI - On a singular set for the restriction of the characteristic map to a linear subspace of $\mathcal {M}_n$
JO - Mathematica Slovaca
PY - 2004
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 54
IS - 3
SP - 229
EP - 236
LA - eng
KW - characteristic polynomial of a matrix; characteristic map; dominant map; linear space of matrices
UR - http://eudml.org/doc/32137
ER -

References

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  1. BYRNES C.-WANG X., The additive inverse eigenvalue problem for Lie perturbation, SIAM J. Matrix Anal. Appl. 14 (1993), 113-117. (1993) MR1199548
  2. FRIEDLAND S., Inverse eigenvalue problems, Linear Algebra Appl. 17 (1977), 15-51. (1977) Zbl0358.15007MR0472861
  3. GANTMACHER F. R., Théorie des matrices, Dunod, Paris, 1966. (1966) Zbl0136.00410
  4. HELTON W.-ROSENTHAL J.-WANG X., Matrix extensions and eigenvalue completions, the generic case, Trans. Amer. Math. Soc. 349 (1997), 3401-3408. (1997) Zbl0891.15004MR1432201
  5. KRAFT H.-P., Geometrische Methoden in der Invariantentheorie, Friedr. Veiweg, Braunschweig, 1984. (1984) Zbl0569.14003MR0768181
  6. LANG S., Algebra, W. A. Benjamin, Inc., New York, 1970. (1970) Zbl0216.06001
  7. LOJASIEWICZ, ST., Introduction to Complex Analytic Geometry, Birkhäuser, Basel, 1991. (1991) Zbl0747.32001MR1131081
  8. SHAFAREVICH I. R., Basic Algebraic Geometry, Springer-Verlag, Berlin-Heidelberg-New York, 1977. (1977) Zbl0362.14001MR0447223
  9. SKRZYŃSKI M., Irreducible algebraic sets of matrices with dominant restriction of the characteristic map, Math. Bohem. 128 (2003), 91-101. Zbl1016.15005MR1974548

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