abs_vol22_pp53-91. 27KB Jun 04 2011 12:05:49 AM
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In Theorem 4 below we prove that the space of shifted singular polynomials is isomorphic to that of singular polynomials as C S n -modules, and it has a basis consisting of
Taking the examples of Legendre and Hermite orthogonal polynomials, we show how to interpret the fact that these orthogonal polynomials are moments of other orthogonal polynomials
In this paper, the above relation to singular two-parameter eigenvalue problems is extended, and it is shown that the simple finite regular eigenvalues of a two-parameter
result and known Perron-Frobenius theory of eventually nonnegative matrices are used to establish an algorithm to determine whether a matrix is strongly eventually nonnegative (i.e.,
Both infinite and sequences of finite Toeplitz matrices are considered, and also studied is the finite section method, which consists in approximating infinite systems by large
A key tool to obtain these bounds is using some Hermitian matrices which are, in the sense of Loewner matrix ordering, below the Hermitian part of A or, more generally, below
Reference [7] derives bounds on the condition number (through bounds on the singular values) of Vandermonde matrices with nodes on the unit circle, dependant on the minimum and
We first study the probabilistic properties of the spectral norm of scaled eigenvalues of large di- mensional Toeplitz, circulant and symmetric circulant matrices when the
