A companion matrix analogue for orthogonal polynomials
β Scribed by Stephen Barnett
- Publisher
- Elsevier Science
- Year
- 1975
- Tongue
- English
- Weight
- 423 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0024-3795
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π SIMILAR VOLUMES
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
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
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