A mini-max problem for self-adjoint Toeplitz matrices

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Non-Self-Adjoint Toeplitz Matrices Whose Principal Submatrices Have Real Spectrum

We introduce and investigate a class of complex semi-infinite banded Toeplitz matrices satisfying the condition that the spectra of their principal submatrices accumulate onto a real interval when the size of the submatrix grows to ∞. We prove that a banded Toeplitz matrix belongs to this class if and only if its symbol has real values on a Jordan curve located in C\{0}. Surprisingly, it turns ...

متن کامل

A Genetic Algorithm for the Mini-Max Spanning Forest Problem

Consider an election of r seats in country consisting of r cities and several villages. The problem is to divide the country into r electoral districts in such a way that each district consists of a city and some villages which are not separated by other districts. The total population of each district must be as balanced as possible. Generally, as each district can be regarded as the nodes on ...

متن کامل

High Performance Algorithms for Toeplitz and block Toeplitz matrices

High Performance Algorithms for Toeplitz and block Toeplitz matrices

متن کامل

Normal Toeplitz Matrices

It is well-known from the work of A. Brown and P.R. Halmos that an infinite Toeplitz matrix is normal if and only if it is a rotation and translation of a Hermitian Toeplitz matrix. In the present article we prove that all finite normal Toeplitz matrices are either generalised circulants or are obtained from Hermitian Toeplitz matrices by rotation and translation. ∗Supported in part by an NSERC...

متن کامل

Toeplitz and Circulant Matrices: A review Toeplitz and Circulant Matrices: A review

        t 0 t −1 t −2 · · · t −(n−1) t 1 t 0 t −1 t 2 t 1 t 0. .. t n−1 · · · t 0         The fundamental theorems on the asymptotic behavior of eigenval-ues, inverses, and products of banded Toeplitz matrices and Toeplitz matrices with absolutely summable elements are derived in a tutorial manner. Mathematical elegance and generality are sacrificed for conceptual simplicity and...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: MATHEMATICA SCANDINAVICA

سال: 2012

ISSN: 1903-1807,0025-5521

DOI: 10.7146/math.scand.a-15198