๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Transformations to rank structures by unitary similarity

โœ Scribed by Roberto Bevilacqua; Enrico Bozzo; Gianna M. Del Corso

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
198 KB
Volume
402
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.

โœฆ Synopsis

We study transformations by unitary similarity of a nonderogatory matrix to certain rank structured matrices. This kind of transformations can be described in a unified framework that involves Krylov matrices. The rank structures here addressed are preserved by QR iterations, and every iterate can be associated with a suitable Krylov matrix.

๐Ÿ“œ SIMILAR VOLUMES

A unitary similarity transform of a norm
A unitary similarity transform of a normal matrix to complex symmetric form
โœ Raf Vandebril ๐Ÿ“‚ Article ๐Ÿ“… 2011 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 216 KB

In this work a new unitary similarity transformation of a normal matrix to complex symmetric form will be discussed. A constructive proof as well as some properties and examples will be given.

Vibration Nodes, and the Cancellation of
Vibration Nodes, and the Cancellation of Poles and Zeros by Unit-Rank Modifications to Structures
โœ J.E. Mottershead; G. Lallement ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 212 KB

The main focus of this paper is on poleยฑzero cancellation in structures by unit-rank modiยฎcations. The modiยฎcations may be achieved by passive stinesses or by active control techniques. A review of the classical theory on unit-rank modiยฎcation is included and new results are obtained to explain the