RT Journal Article
T1 Positive bidiagonal factorization of tetradiagonal Hessenberg matrices
A1 Branquinho, Amílcar
A1 Foulquié Moreno, Ana
A1 Mañas Baena, Manuel Enrique
AB 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 positive bidiagonal factorization. Oscillatory tetradiagonal Toeplitz matrices are examined as a case study of matrices that admit a positive bidiagonal factorization. Furthermore, the paper proves that oscillatory banded Hessenberg matrices are organized in rays, where the origin of the ray does not have a positive bidiagonal factorization, but all the interior points of the ray do have such a positive bidiagonal factorization.
PB Elsevier
SN 0024-3795
YR 2023
FD 2023-11-15
LK https://hdl.handle.net/20.500.14352/102905
UL https://hdl.handle.net/20.500.14352/102905
LA eng
NO Branquinho, A., Foulquié-Moreno, A., & Mañas, M. (2023). Positive bidiagonal factorization of tetradiagonal Hessenberg matrices. Linear Algebra and its Applications, 677, 132-160.
NO 2023 Acuerdos transformativos CRUE
NO Fundação para a Ciência e a Tecnologia (FCT)
NO Universidade de Coimbra
NO Centro de Investigação e Desenvolvimento em Matemática e Aplicações (CIDMA)
NO Ministerio de Ciencia e Innovación (España)
NO Agencia Estatal deInvestigación (España)
DS Docta Complutense
RD 25 feb 2026