Differentiable roots, eigenvalues, and eigenvectors

We determine the conditions for the existence of C p -roots of curves of monic complex polynomials as well as for the existence of C p -eigenvalues and C p -eigenvectors of curves of normal complex matrices.

Saved in:
Bibliographic Details
Published inIsrael journal of mathematics Vol. 201; no. 1; pp. 99 - 122
Main Author Rainer, Armin
Format Journal Article
LanguageEnglish
Published Heidelberg The Hebrew University Magnes Press 01.01.2014
Subjects
Algebra
Analysis
Applications of Mathematics
Group Theory and Generalizations
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Theoretical
Continuous Parameterization
Real Analytic Mapping
Normal Matrice
Complex Polynomial
Rooted Tree
Online AccessGet full text

Cover

More Information
Summary:We determine the conditions for the existence of C p -roots of curves of monic complex polynomials as well as for the existence of C p -eigenvalues and C p -eigenvectors of curves of normal complex matrices.
ISSN:0021-2172
1565-8511
DOI:10.1007/s11856-014-0007-5