On generalized moment matrices

Author:
Ruiming Zhang

Journal:
Proc. Amer. Math. Soc. **141** (2013), 2589-2595

MSC (2000):
Primary 15A09; Secondary 33D45

Published electronically:
April 8, 2013

MathSciNet review:
3056548

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Abstract | References | Similar Articles | Additional Information

Abstract: In this work we provide a method to compute the determinants and inverses of the generalized moment matrices. Using this method we also give lower bounds for the smallest eigenvalue of such matrices.

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Additional Information

**Ruiming Zhang**

Affiliation:
The Institute of Applied Mathematics, College of Science, Northwest A&F University, Yangling, Shaanxi 712100, People’s Republic of China

Email:
ruimingzhang@yahoo.com

DOI:
http://dx.doi.org/10.1090/S0002-9939-2013-11782-X

Keywords:
Orthogonal polynomials,
generalized moment matrices,
determinants,
inverse matrices,
smallest eigenvalue

Received by editor(s):
October 28, 2011

Published electronically:
April 8, 2013

Additional Notes:
This work was partially supported by Northwest A&F University

Communicated by:
Sergei K. Suslov

Article copyright:
© Copyright 2013
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.