Exact conditions for preservation of the partial indices of a perturbed triangular 2 × 2 matrix function

Victor M. Adukov*, Gennady Mishuris, Sergei V. Rogosin

*Awdur cyfatebol y gwaith hwn

Allbwn ymchwil: Cyfraniad at gyfnodolynErthygladolygiad gan gymheiriaid

6 Dyfyniadau(SciVal)
79 Wedi eu Llwytho i Lawr (Pure)

Crynodeb

The possible instability of partial indices is one of the important constraints in the creation of approximate methods for the factorization of matrix functions. This paper is devoted to a study of a specific class of triangular matrix functions given on the unit circle with a stable and unstable set of partial indices. Exact conditions are derived that guarantee a preservation of the unstable set of partial indices during a perturbation of a matrix within the class. Thus, even in this probably simplest of cases, when the factorization technique is well developed, the structure of the parametric space (guiding the types of matrix perturbations) is non-trivial.

Iaith wreiddiolSaesneg
Rhif yr erthygl20200099
Nifer y tudalennau19
CyfnodolynProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Cyfrol476
Rhif cyhoeddi2237
Dynodwyr Gwrthrych Digidol (DOIs)
StatwsCyhoeddwyd - 27 Mai 2020

Ôl bys

Gweld gwybodaeth am bynciau ymchwil 'Exact conditions for preservation of the partial indices of a perturbed triangular 2 × 2 matrix function'. Gyda’i gilydd, maen nhw’n ffurfio ôl bys unigryw.

Dyfynnu hyn