Factorization of Singular Matrix Polynomials and Matrices with Circular Higher Rank Numerical Ranges | PERPUSTAKAAN UNIVERSITAS KATOLIK PARAHYANGAN

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Factorization of Singular Matrix Polynomials and Matrices with Circular Higher Rank Numerical Ranges

Poon, Edward - Nama Orang; Woerdeman, Hugo J. - Nama Orang; Spitkovsky, Ilya M. - Nama Orang;

Factorization of regular Hermitian valued trigonometric polynomials (on the unit circle) and Hermitian valued polynomials (on the real line) have been studied well. In this paper we drop the condition of regularity and study factorization of singular Hermitian valued (trigonometric) polynomials. We subsequently apply the results to obtain a characterization of matrices with a circular higher rank numerical range and derive a new version of Anderson's theorem. As a special case, we obtain a new characterization of matrices with a circular numerical range.

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Informasi Detail

Judul Seri: SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS; Vol.43 No.3 July-September 2022
No. Panggil: -
Penerbit: : .,
Deskripsi Fisik: p. 1423-1439
Bahasa: English
ISBN/ISSN: -
Klasifikasi: NONE
Tipe Isi: -
Tipe Media: -
Tipe Pembawa: -
Edisi: -
Subjek: HIGHER RANK NUMERICAL RANGE
HERMITIAN VALUED TRIGONOMETRIC POLYNOMIALS
J -SPECTRAL FACTORIZATION
CIRCULAR NUMERICAL RANGE
Info Detail Spesifik: https://doi.org/10.1137/22M1475934
Pernyataan Tanggungjawab: Edward Poon, Ilya M. Spitkovsky, Hugo J. Woerdeman

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