Positive bidiagonal factorization of tetradiagonal Hessenberg matrices

Recently, a spectral Favard theorem was presented for bounded banded lower Hessenberg matrices that possess a positive bidiagonal factorization. The paper establishes conditions, expressed in terms of continued fractions, under which an oscillatory tetradiagonal Hessenberg matrix can have such a pos...

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Vydáno v:	Linear algebra and its applications Ročník 677; s. 132 - 160
Hlavní autoři:	Branquinho, Amílcar, Foulquié-Moreno, Ana, Mañas, Manuel
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Elsevier Inc 15.11.2023
Témata:	Banded Hessenberg matrices Bidiagonal factorization Continued fractions Gauss–Borel factorization Oscillatory matrices Oscillatory retracted matrices Totally nonnegative matrices 33C47 33C45 Oscillatory retracted matrices 15B48 Gauss–Borel factorization Continued fractions Bidiagonal factorization Banded Hessenberg matrices Totally nonnegative matrices 47B39 47B28 47B36 Oscillatory matrices 42C05
ISSN:	0024-3795, 1873-1856
On-line přístup:	Získat plný text
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