Thiele-type and Lagrange-type generalized inverse rational interpolation for rectangular complex matrices

Bivariate Blending Thiele-Werner’s Osculatory Rational Interpolation

Computing generalized inverse of polynomial matrices by interpolation

We investigated an interpolation algorithm for computing the MoorePenrose inverse of a given polynomial matrix, based on the LeverrierFaddeev method. Also, a method for estimating the degrees of polynomial matrices arising from the Leverrier-Faddeev algorithm is given as the improvement of the interpolation algorithm. Algorithms are implemented in the symbolic programming language MATHEMATICA, ...

On an Interpolation Process of Lagrange–hermite Type

Abstract. We consider a Lagrange–Hermite polynomial, interpolating a function at the Jacobi zeros and, with its first (r−1) derivatives, at the points ±1. We give necessary and sufficient conditions on the weights for the uniform boundedness of the related operator in certain suitable weighted L-spaces, 1 < p < ∞, proving a Marcinkiewicz inequality involving the derivative of the polynomial at ...

Rational interpolation and mixed inverse spectral problem for finite CMV matrices

For finite dimensional CMV matrices the mixed inverse spectral problem of reconstruction the matrix by its submatrix and a part of its spectrum is considered. A general rational interpolation problem which arises in solving the mixed inverse spectral problem is studied, and the description of the space of its solutions is given. We apply the developed technique to give sufficient conditions for...

On Bernstein Type Inequalities for Complex Polynomial

In this paper, we establish some Bernstein type inequalities for the complex polynomial. Our results constitute generalizations and refinements of some well-known polynomial inequalities.