𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Real second order freeness and Haar orthogonal matrices

✍ 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.


πŸ“œ SIMILAR VOLUMES


Orthogonal Rational Functions with real
✍ A. Bultheel; P. Van gucht; M. Van Barel πŸ“‚ Article πŸ“… 2010 πŸ› Elsevier Science 🌐 English βš– 572 KB

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

On the second real eigenvalue of nonegat
✍ Shmuel Friedland; Reinhard Nabben πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 564 KB

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

Jacobi-Sobolev-type orthogonal polynomia
✍ J. ArvesΓΊ; R. Álvarez-Nodarse; F. MarcellΓ‘n; K. Pan πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 975 KB

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