On oscillatory matrices
نویسندگان
چکیده
منابع مشابه
Accurate Eigenvectors of Oscillatory Matrices
The purpose of this report is to investigate the possibilities for accurate computation of eigenvectors of (unsymmetric) oscillatory matrices. The goal is to decide what “accurate” means, to determine whether the eigenvectors are determined “accurately” in that sense, and to engineer algorithms that will guarantee that accuracy. It is desirable for the computed eigenvector matrix to inherit the...
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A square matrix is said to be totally nonnegative (respectively, positive) if all of its minors are nonnegative (respectively, positive). Determinantal inequalities have been a popular and important subject, especially for positivity classes of matrices such as: positive semidefinite matrices, M−matrices, and totally nonnegative matrices. Our main interest lies in characterizing all of the ineq...
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In this paper we consider the special classes of Sonnenschein matrices, namely the Karamata matrices $K[alpha,beta]=left(a_{n,k}right)$ with the entries [{a_{n,k}} = sumlimits_{v = 0}^k {left( begin{array}{l} n\ v end{array} right){{left( {1 - alpha - beta } right)}^v}{alpha ^{n - v}}left( begin{array}{l} n + k - v - 1\ ,,,,,,,,,,k...
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ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1970
ISSN: 0024-3795
DOI: 10.1016/0024-3795(70)90010-8