Title :
Generalized Homogeneous Multivariate Matrix PadÉ-Type Approximants and PadÉ Approximants
Author :
Zheng, Cheng-De ; Zhang, Huaguang ; Tian, Hong
Author_Institution :
Dalian Jiaotong Univ., Dalian
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 ges 2).
Keywords :
covariance matrices; polynomial approximation; arbitrary monic bivariate scalar polynomial; covariance matrix; generalized homogeneous multivariate matrix Pade-type approximants; multivariate analysis; polynomial approximation; triangular form; Approximation methods; Digital filters; Educational institutions; Information science; Linear matrix inequalities; Network synthesis; Physics; Polynomials; Scattering; Signal design; Covariance matrix; multivariant analysis; polynomial approximation; polynomials;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2007.908346
