The Nevanlinna-Pick interpolation problems and power moment problems for matrix-valued functions
Copyright policy )The Nevanlinna-Pick interpolation problems and power moment problems for matrix-valued functions
The authors discuss several interpolation problems, i.e. given some matrices, and some complex points, find a complex, matrix-valued function which has the prescribed values at the given points. The interpolation problems are the Nevanlinna-Pick interpolation problem for the Nevanlinna class and for the Stieltjes class, the truncated power moment problem on the real axis, and the Stieltjes matrix power problem. One of the aims of this paper is to establish the relation between the solution for the interpolation problems and the moment problems. The authors solve this by using the block Hankel vector approach.
- Academia Sinica Taiwan
- Beijing Normal University China (People's Republic of)
- Institute of Mathematics Poland
- Polish Academy of Sciences Poland
- Beijing Normal University China (People's Republic of)
Stieltjes class, Numerical Analysis, Algebra and Number Theory, power moment problem, Power moment problem, NP interpolation, Stieljes moment problem, block Hankel vector, power moment problems, Moment problems and interpolation problems in the complex plane, Stieljes class, Nevanlinna-Pick interpolation problem, fundamental matrix inequality, Nevanlinna class, Discrete Mathematics and Combinatorics, Stieltjes moment problem, Geometry and Topology, Block Hankel vector
Stieltjes class, Numerical Analysis, Algebra and Number Theory, power moment problem, Power moment problem, NP interpolation, Stieljes moment problem, block Hankel vector, power moment problems, Moment problems and interpolation problems in the complex plane, Stieljes class, Nevanlinna-Pick interpolation problem, fundamental matrix inequality, Nevanlinna class, Discrete Mathematics and Combinatorics, Stieltjes moment problem, Geometry and Topology, Block Hankel vector
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