𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A companion matrix analogue for orthogonal polynomials

✍ Scribed by Stephen Barnett


Publisher
Elsevier Science
Year
1975
Tongue
English
Weight
423 KB
Volume
12
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


The Asymptotics of a Continuous Analogue
✍ H. Widom πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 358 KB

SzegΓΆ polynomials are associated with weight functions on the unit circle. M. G. Krein introduced a continuous analogue of these, a family of entire functions of exponential type associated with a weight function on the real line. An investigation of the asymptotics of the resolvent kernel of \(\sin

Algebraic Aspects of Matrix Orthogonalit
✍ Vladimir N. Sorokin; Jeannette Van Iseghem πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 355 KB

An algebraic theory of orthogonality for vector polynomials with respect to a matrix of linear forms is presented including recurrence relations, extension of the Shohat Favard theorem, of the Christoffel Darboux formula, and its converse. The connection with orthogonal matrix polynomials is describ

Upward Extension of the Jacobi Matrix fo
✍ AndrΓ© Ronveaux; Walter Van Assche πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 647 KB

Orthogonal polynomials on the real line always satisfy a three-term recurrence relation. The recurrence coefficients determine a tridiagonal semi-infinite matrix (Jacobi matrix) which uniquely characterizes the orthogonal polynomials. We investigate new orthogonal polynomials by adding to the Jacobi