When one wants to use Orthogonal Rational Functions (ORFs) in system identification or control theory, it is important to be able to avoid complex calculations. In this paper we study ORFs whose numerator and denominator polynomial have real coefficients. These ORFs with real coefficients (RORFs) ap
Real second order freeness and Haar orthogonal matrices
β Scribed by Mingo, James A.; Popa, Mihai
- Book ID
- 121088796
- Publisher
- American Institute of Physics
- Year
- 2013
- Tongue
- English
- Weight
- 904 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0022-2488
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We give bounds for the second real eigenvalue of nonegative matrices and Z-matrices. Furthermore, we establish upper bounds for the maximal spectral radii of principal submatrices of nonnegative matrices. Using these bounds, we prove that our inequality for the second real eigenvalue of the adjacenc
We obtain an explicit expression for the Sobolev-type orthogonal polynomials {Q~} associated with the inner product /' {p,q) = p(x)q(x)p(x)dx+A,p(l)q(1)+B,p(-1)q(-1)+A2p'(1)q'(1)+B2p'(-l)q'(-l), I where p(x)= (I -x)~(1 + xf is the Jacobi weight function, e, ~> -1, A l, BI, A2, B2/>0 and p, q E P, th