This paper focuses on studying the interval continuous-time algebraic Riccati equation A∗X + XA + Q − XGX = 0, both from the theoretical aspects and the computational ones. In theoretical parts, we show that Shary’s results for interval linear systems can only be partially generalized to this interval Riccati matrix equation. We then derive an efficient technique for enclosing the united stable...

A master element to be employed as a general spatial rod finite element is presented. This spatially curved and pretwisted element can have variable cross-section and variable curvature change. It may also be resting on an elastic foundation. Also, a finite element formulation for a general earthquake analysis of spatial rods is presented. The theoretical foundation has lead to a general-purpos...

in this work, based on experimental observations and exact theoretical predictions, the kinetic scheme of raft polymerization is extended to a wider range of reactions such as irreversible intermediate radical terminations and reversible transfer reactions. the reactions which have been labeled as kinetic scheme are the more probable existing reactions as the theoretical point of view. the deta...

The Schwarz map of the hypergeometric differential equation is studied since the beginning of the last century. Its target is the complex projective line, the 2-sphere. This paper introduces the hyperbolic Schwarz map, whose target is the hyperbolic 3-space. This map can be considered to be a lifting to the 3-space of the Schwarz map. This paper studies the singularities of this map, and visual...

The concept of group signature was first introduced by Chaum and van Heyst. They allowed individual members in a group to create signatures on behalf of the group. In this paper, we shall propose a new English auction scheme based on this concept by using the bulletin board system (BBS). The proposed scheme can satisfy the requirements of an ideal of English auction scheme as in Introduction.

The Schwarz map of the hypergeometric differential equation is studied since the beginning of the last century. Its target is the complex projective line, the 2-sphere. This paper introduces the hyperbolic Schwarz map, whose target is the hyperbolic 3-space. This map can be considered to be a lifting to the 3-space of the Schwarz map. This paper studies the singularities of this map, and visual...