Hyperbolic components of polynomials with a fixed critical point of maximal order

On the fixed point of order 2

This paper  deals with a new type  of fixed point, i.e;"fixed point of order 2" which is introduced in a metric spaceand some results are achieved.

Maximal Fixed Point Structures

Examples, counterexamples and properties of the maximal fixed point structures are given.

Hyperbolic Polynomials and Spectral Order

Fixed Point Polynomials of Permutation Groups

In this paper we study, given a group G of permutations of a finite set, the so-called fixed point polynomial ∑n i=0 fix i, where fi is the number of permutations in G which have exactly i fixed points. In particular, we investigate how root location relates to properties of the permutation group. We show that for a large family of such groups most roots are close to the unit circle and roughly...

Fixed-Point Configurable Hardware Components

To reduce the gap between the VLSI technology capability and the designer productivity, design reuse based on IP (intellectual properties) is commonly used. In terms of arithmetic accuracy, the generated architecture can generally only be configured through the input and output word lengths. In this paper, a new kind of method to optimize fixed-point arithmetic IP has been proposed. The archite...