Partially Specified Matrices and Operators Classification Completion Applications is popular PDF and ePub book, written by Israel Gohberg in 1995-08-28, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Partially Specified Matrices and Operators Classification Completion Applications can be Read Online from any device for your convenience.
Partially Specified Matrices and Operators Classification Completion Applications Book PDF Summary
This book is devoted to a new direction in linear algebra and operator theory that deals with the invariants of partially specified matrices and operators, and with the spectral analysis of their completions. The theory developed centers around two major problems concerning matrices of which part of the entries are given and the others are unspecified. The first is a classification problem and aims at a simplification of the given part with the help of admissible similarities. The results here may be seen as a far reaching generalization of the Jordan canonical form. The second problem is called the eigenvalue completion problem and asks to describe all possible eigenvalues and their multiplicities of the matrices which one obtains by filling in the unspecified entries. Both problems are also considered in an infinite dimensional operator framework. A large part of the book deals with applications to matrix theory and analysis, namely to stabilization problems in mathematical system theory, to problems of Wiener-Hopf factorization and interpolation for matrix polynomials and rational matrix functions, to the Kronecker structure theory of linear pencils, and to non everywhere defined operators. The eigenvalue completion problem has a natural associated inverse, which appears as a restriction problem. The analysis of these two problems is often simpler when a solution of the corresponding classification problem is available.
Detail Book of Partially Specified Matrices and Operators Classification Completion Applications PDF
- Author : Israel Gohberg
- Release : 28 August 1995
- Publisher : Birkhäuser
- ISBN : 3764352590
- Genre : Mathematics
- Total Page : 368 pages
- Language : English
- PDF File Size : 11,9 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Partially Specified Matrices and Operators Classification Completion Applications by Israel Gohberg, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.