scholarly journals New analytical and geometrical aspects of the algebraic multiplicity

2021 ◽  
pp. 125375
Author(s):  
Julián López-Gómez ◽  
Juan Carlos Sampedro
Keyword(s):  
Algebraic Multiplicity

The deformation multiplicity of a map germ with respect to a Boardman symbol

2001 ◽  
Vol 131 (5) ◽  
pp. 1003-1022 ◽  
Author(s):  
C. Bivià-Ausina ◽  
J. J. Nuño-Ballesteros
Keyword(s):  
Geometrical Interpretation ◽  
Algebraic Multiplicity ◽  
Homogeneous Map

We define the deformation multiplicity of a map germ f: (Cn, 0) → (Cp, 0) with respect to a Boardman symbol i of codimension less than or equal to n and establish a geometrical interpretation of this number in terms of the set of Σi points that appear in a generic deformation of f. Moreover, this number is equal to the algebraic multiplicity of f with respect to i when the corresponding associated ring is Cohen-Macaulay. Finally, we study how algebraic multiplicity behaves with weighted homogeneous map germs.

The algebraic multiplicity of the complex eigenvalues of population operator and its application

2001 ◽  
Vol 80 (3-4) ◽  
pp. 257-268
Author(s):  
Xue-Zhi Li ◽  
Geni Gupur ◽  
Chun-Lei Tang ◽  
Guang-Tian Zhu
Keyword(s):  
Algebraic Multiplicity ◽  
Complex Eigenvalues

scholarly journals Accelerated spectral refinement Part II: Cluster of eigenvalues

2000 ◽  
Vol 42 (2) ◽  
pp. 224-243
Author(s):  
Rafikul Alam ◽  
Rekha P. Kulkarni ◽  
Balmohan V. Limaye
Keyword(s):  
Integral Operator ◽  
Simple Eigenvalue ◽  
Algebraic Multiplicity ◽  
Numerical Examples ◽  
Multiple Eigenvalues

AbstractThe framework for accelerated spectral refinement for a simple eigenvalue developed in Part I of this paper is employed to treat the general case of a cluster of eigenvalues whose total algebraic multiplicity is finite. Numerical examples concerning the largest and the second largest multiple eigenvalues of an integral operator are given.

Sign in / Sign up

Export Citation Format

Share Document