𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the Continuity of themth Root of a Continuous Nonnegative Definite Matrix-valued Function

✍ Scribed by Zizhen Chen; Zhongdan Huan

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
162 KB
Volume
209
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper we prove that the mth root of a nonnegative definite matrix-valued function with continuous entries is continuous. In particular, if all the entries are

, which generalizes the result on the square Ε½ .

πŸ“œ SIMILAR VOLUMES

On the controllability of the parameteri
On the controllability of the parameterized state matrix in β€œa continuation approach to eigenvalue assignment” by Harris, DeCarlo and Richter
✍ Dale R. Sebok; Raymond Decarlo πŸ“‚ Article πŸ“… 1987 πŸ› Elsevier Science 🌐 English βš– 124 KB

This paper will investigate the controllability properties for systems parameterized as in Hams et al. (1983, Automatica, 19, 551-555). It will be shown that for systems of low dimensions this parameterization must be done carefully to guarantee that the system is controllable over the parameterizat

On a class of extremal solutions of a mo
On a class of extremal solutions of a moment problem for rational matrix-valued functions in the nondegenerate case I
✍ Bernd Fritzsche; Bernd Kirstein; Andreas Lasarow πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 284 KB πŸ‘ 1 views

## Abstract The main theme of this paper is the discussion of a parametrized family of solutions of a finite moment problem for rational matrix‐valued functions in the nondegenerate case. We will show that each member of this family is extremal in several directions concerning some point of the ope

The value of continuous electrical muscl
The value of continuous electrical muscle stimulation using a completely implantable system in the preservation of muscle function following motor nerve injury and repair: an experimental study
✍ H. Bruce Williams πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 432 KB πŸ‘ 2 views

Functional recovery following motor nerve injury and repair is directly related to the degree of muscle atrophy that takes place during the period of nerve regeneration. The extent of this muscle atrophy is related to a number of factors including the accuracy of nerve repair; the distance through w