title: Repeated eigenvalues of a matrix with elements polynomially dependent on a parameter
metadata.name: dc.contributor.author
metadata.value: Kalinina, Elizaveta A.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2016-08-02T10:42:06Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2016-08-02T10:42:06Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2016-06
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/2522
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: Earlier matrices with multiple eigenvalues were considered only for theoretical purposes.
  However, now such non-generic matrices are also of practical interest because they appear in
  different problems of quantum mechanics, nuclear physics, optics and dynamic of mechanical
  systems. A square matrix with elements that are linearly dependent on a parameter is considered
  in this paper. A method to find the values of the parameter such that the matrix has a repeated
  eigenvalue is considered. We find the polynomial whose roots are these values of the parameter
  using only finite number of algebraic operations on the matrix elements. The method can be
  generalized to matrices with elements algebraically dependent on a parameter. A numerical
  example of how to find the required parameter values is considered. Refs 16.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Series 10. Applied Mathematics. Computer Science. Control Processes;Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: the Kronecker product
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: the Leverrier method
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: the Newton sums
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Repeated eigenvalues of a matrix with elements polynomially dependent on a parameter
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: Калинина.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/2522/1/%d0%9a%d0%b0%d0%bb%d0%b8%d0%bd%d0%b8%d0%bd%d0%b0.pdf
resources.format: Adobe PDF
resources.size: 198,2 kB