Recessive solutions of block tridiagonal nonhomogeneous systems

Autor:	Calvin D. Ahlbrandt, William T. Patula
Rok vydání:	1995
Předmět:	Matrix (mathematics) Algebra and Number Theory Partial differential equation Recurrence relation Tridiagonal matrix Applied Mathematics Numerical analysis Mathematical analysis Scalar (mathematics) Tridiagonal matrix algorithm Analysis Hamiltonian system Mathematics
Zdroj:	Journal of Difference Equations and Applications. 1:1-15
ISSN:	1563-5120 1023-6198
DOI:	10.1080/10236199508808003
Popis:	Olver has given an elegant construction of recessive solutions of nonhomogeneous scalar three term recurrence relations. We investigate the feasibility of applying his methods to block tridiagonal nonhomogeneous systems where the coefficient matrices A B C are n × n matrices and Y and D are n × m. Such systems with m = 1 arise in numerical methods for solving partial differential equations [7,11]. Of course, the results obtained are also applicable to the symmetric case with and symmetric Bk . The homogeneous case with m = n arises in matrix continued fractions [4] and the well-studied symmetric homogeneous case is closely realted to discrete Hamiltonian systems and, for m = n, to discrete Riccati equations [2,1,3,5].
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::8ee9b8b7b44a4a04c868e48088885a02 https://doi.org/10.1080/10236199508808003 Zobrazit plný text záznamu