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Interpolation theory and λ-matrices

1989
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Journal of Mathematical Analysis and Applications
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This paper shows how interpolation theory can be used in the structural analysis of I-matrices, which often occur in the description of the dynamics of multivariable systems. Using scalar interpolatory polynomials for the linear I-matrix case and interpolatory I-matrices for the general case, a set of spectral projectors is derived. The fundamental properties of the interpolatory polynomials and I-matrices are derived and used to develop a suitable form for the resolvent. 0 1989 Academic Press,

doi:10.1016/0022-247x(89)90058-9
fatcat:ofusnajq35crbeuii3b2xqfhdy