# G-odometers and their almost one-to-one extensions

## Related Articles

- The Minimal Closed Non-Trivial Ideals of Toeplitz Algebras on Discrete Groups. Xu, Qingxiang // Chinese Annals of Mathematics;Jul2000, Vol. 21 Issue 3, p367
Let G be a discrete group and (G, G[sub +]) an ordered group. Let (G, G[sub F]) be the minimal quasi-ordered group containing (G, G[sub +]). Let T[sup G[sub +]] (G) and T[sup G[sub F]] (G) be the corresponding Toeplitz algebras, and Î³[sup G[sub F]],[sup G[sub +]] the natural C[sup *]-algebra...

- Chapter 2: Mathematical Preliminaries. Guti�rrez-Guti�rrez, Jes�s; Crespo, Pedro M. // Foundations & Trends in Communications & Information Theory;2011, Vol. 8 Issue 3, p184
The present monograph studies the asymptotic behaviour of eigenvalues, products and functions of block Toeplitz matrices generated by the Fourier coefficients of a continuous matrix-valued function. This study is based on the concept of asymptotically equivalent sequences of non-square matrices....

- On the Connection Between Second-order Differential Equations and Quadratic Eigenvalue Problem and Their Spectrum. Cesur, Yusuf // AIP Conference Proceedings;11/11/2010, Vol. 1309 Issue 1, p193
In this paper we consider the solution of a linear second-order differantial equation Ay'+By'+Cy = f(t) where A, B, and C are nÃ—n Toeplitz matrices with sign changes real entries and y(t) is an nth-ordei vector. We show that the solution can be expressed in terms of the eigensolution of the...

- Reconstruction of linear nonstationary discrete systems from their response to impulse inputs. Gaishun, I. // Differential Equations;Jan2010, Vol. 46 Issue 1, p127
We describe classes of linear nonstationary discrete systems that have equal responses to impulse inputs. In each class, we single out the unique simplest representative characterized by the nilpotency property.

- APPROXIMATION OF CHARACTERISTIC POLYNOMIAL OF SPDTM. Kostic, A. // DAAAM International Scientific Book;Jan2009, p71
In this note we present a modified Newton's method for computing the smallest eigenvalue Î»1 of a symmetric positive definite Toeplitz matrix (SPDTM) . This method based of the Taylor series characteristic polynomial of a SPDTM and respectively the even and odd characteristic polynomials of a...

- SINE TRANSFORM MATRIX FOR SOLVING TOEPLITZ MATRIX PROBLEMS. Li-zhi Cheng // Journal of Computational Mathematics;Mar2001, Vol. 19 Issue 2, p167
Provides information on a study which discussed the properties of eigenvalues for the solutions of symmetric positive definite Toeplitz systems, skew circulant and sine transform based properties. Eigenvalues of various preconditioners; Design of positive sine transform based preconditioners;...

- NUMERICAL ANALYSIS OF SECULAR FUNCTIONS OF A REAL SYMMETRIC POSITIVE DEFINITE TOEPLITZ MATRIX. Kostic, Aleksandra // Annals of DAAAM & Proceedings;Jan2011, p49
In this note we present numerical analysis of secular functions of a real symmetric positive definite Toeplitz matrix (RSPDTM). In paper (Kostic et al., 2011) is given general form of secular function of RSPDTM. From numerical analysis of secular functions emerged new algorithm which represents...

- CRITICAL REVIEW OF MISES METHOD APPLIED TO THE TOEPLITZ MATRIX. Kostic, Aleksandra // Annals of DAAAM & Proceedings;Jan2011, p51
In this note we critically examine the application of Mises method to find the largest eigenvalue Î»n of a real symmetric positive definite Toeplitz matrix (RSPDTM). The Mises method is considered a simple method because it is based on matrix multiplication. Special properties of the Toeplitz...

- A NEW STRATEGY FOR TOEPLITZ MATRIX. Kostic, Aleksandra // Annals of DAAAM & Proceedings;Jan2011, p53
In this note we bring a completely new strategy for calculating the minimum eigenvalue Î»1(n) (n) of a real symmetric, positive definite Toeplitz matrix (RSPDTM) Tn. The strategy is particularly applicable to the modeling of secular functions, since it is based on a calculation of the smallest...