Approximating real linear operators

• Autorzy: Marko Huhtanen , Olavi Nevanlinna
• Języki publikacji: EN

Abstrakty

EN

A framework to extend the singular value decomposition of a matrix to a real linear operator $ℳ : ℂⁿ → ℂ^{p}$ is suggested. To this end real linear operators called operets are introduced, to have an appropriate generalization of rank-one matrices. Then, adopting the interpretation of the singular value decomposition of a matrix as providing its nearest small rank approximations, ℳ is approximated with a sum of operets.

Kategorie tematyczne

• 15A04: Linear transformations, semilinear transformations
• 15A18: Eigenvalues, singular values, and eigenvectors

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2007
• Tom: 179
• Numer: 1
• Strony: 7-25

Daty

wydano

2007

Twórcy

autor

Marko Huhtanen

• Institute of Mathematics, Helsinki University of Technology, Box 1100, FIN-02015, Finland

autor

Olavi Nevanlinna

• Institute of Mathematics, Helsinki University of Technology, Box 1100, FIN-02015, Finland

Identyfikatory

DOI

10.4064/sm179-1-2