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Generalized homogeneous multivariate matrix Pade-type approximants and Pade approximants
- Source :
- IEEE Transactions on Automatic Control. Nov, 2007, Vol. 52 Issue 11, p2160, 6 p.
- Publication Year :
- 2007
-
Abstract
- Generalized homogeneous multivariate matrix Pade-type approximants (GHMPTA) and Pade approximants are studied in ways similar to those of Brezinski and Kida in the scalar cases. By choosing an arbitrary monic bivariate scalar polynomial from the triangular form as the generating one of the approximant, we discuss their several typical important properties and study the connection between generalized homogeneous bivariate matrix Pade-type approximants and Pade approximants. The arguments given in detail in two variables can be extended directly to the case of d variables (d [greater than or equal to] 2). Index Terms--Covariance matrix, multivarianl analysis, polynomial approximation, polynomials.
- Subjects :
- Approximation theory -- Methods
Polynomials -- Properties
Subjects
Details
- Language :
- English
- ISSN :
- 00189286
- Volume :
- 52
- Issue :
- 11
- Database :
- Gale General OneFile
- Journal :
- IEEE Transactions on Automatic Control
- Publication Type :
- Academic Journal
- Accession number :
- edsgcl.171850986