Zero-dilation index of a finite matrix

Zero-dilation Index of S_n-matrix and Companion Matrix

Construction of a class of trivariate nonseparable compactly supported wavelets with special dilation matrix

We present a method for  the construction of compactlysupported $left (begin{array}{lll}1 & 0 & -1\1 & 1 & 0 \1 &  0 & 1\end{array}right )$-wavelets  under a mild condition. Wavelets inherit thesymmetry of the corresponding scaling function and satisfies thevanishing moment condition originating in the symbols of the scalingfunction. As an application, an  example is  provided.

Dilation of a family of g-frames

In this paper, we first discuss about canonical dual of g<span style="font-family: NimbusRomNo9L-Regu; font-size: 11pt; color: #000000; font...

A Characterization of Minimal Zero-sequences of Index One in Finite Cyclic Groups

Let G ∼= Zn where n is a positive integer. A finite sequence S = {g1, . . . , gk} of not necessarily distinct elements from G for which ∑k i=1 gi = 0 is called a zero-sequence. If a zero-sequence S contains no proper subzero-sequence, then it is called a minimal zero-sequence. The notion of the index of a minimal zero-sequence (see Definition 1) in Zn has been recently addressed in the mathemat...

A Proximal Point Algorithm for Finding a Common Zero of a Finite Family of Maximal Monotone Operators

In this paper, we consider a proximal point algorithm for finding a common zero of a finite family of maximal monotone operators in real Hilbert spaces. Also, we give a necessary and sufficient condition for the common zero set of finite operators to be nonempty, and by showing that in this case, this iterative sequence converges strongly to the metric projection of some point onto the set of c...