Random Block Matrices and Matrix Orthogonal Polynomials
β Scribed by Holger Dette; Bettina Reuther
- Publisher
- Springer US
- Year
- 2008
- Tongue
- English
- Weight
- 583 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0894-9840
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Using the notion of quantum integers associated with a complex number q = 0, we define the quantum Hilbert matrix and various extensions. They are Hankel matrices corresponding to certain little q-Jacobi polynomials when |q| < 1, and for the special value q = (1- they are closely related to Hankel
Chain sequences are positive sequences [a n ] of the form a n = g n (1& g n&1 ) for a nonnegative sequence [g n ]. This concept was introduced by Wall in connection with continued fractions. In his monograph on orthogonal polynomials, Chihara conjectured that if a n 1 4 for each n then (a n & 1 4 )
method for computing a complete set of block eigenvalues for a block partitioned matrix using a generalized form of Wielandt's deflation is presented. An application of this process is given to compute a complete set of solvents of matrix polynomials where the coefficients and the variable are commu