The normal ΔH-matrices with connection to some Jacobi-like methods

Two modified Jacobi methods for M-matrices

two modified jacobi methods for m-matrices

Some Jacobi Matrices with Decaying Potential and Dense Point Spectrum

We discuss doubly infinite matrices of the form Mi — δi + 1 -\-δί ._ t + Ff<5i;. as operators on / 2 . We present for each 8>0, examples of potentials Vn with \Vn\ = O(n~ ί/2 + ) and where M has only point spectrum. Our discussion should be viewed as a remark on the recent work of Delyon, Kunz, and Souillard.

extensions of some polynomial inequalities to the polar derivative

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Jacobi matrices

We discuss the relationships among Jacobi matrices, orthogonal polynomials, spectral measure, moments, minors, Gaussian quadrature, resolvents and continued fractions in the simplest setting, namely the finite-dimensional one. The formal structure is essentially the same as that in the infinite-dimensional setting, where it leads into the rich analytic world of orthogonal polynomials on the rea...