Interpolation theory and λ-matrices
This paper shows how interpolation theory can be used in the structural analysis of λ-matrices, which often occur in the description of the dynamics of multivariable systems. Using scalar interpolatory polynomials for the linear λ-matrix case and interpolatory λ-matrices for the general case, a set...
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| Published in | Journal of mathematical analysis and applications Vol. 143; no. 2; pp. 530 - 547 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Inc
01.11.1989
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| Online Access | Get full text |
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| Summary: | This paper shows how interpolation theory can be used in the structural analysis of λ-matrices, which often occur in the description of the dynamics of multivariable systems. Using scalar interpolatory polynomials for the linear λ-matrix case and interpolatory λ-matrices for the general case, a set of spectral projectors is derived. The fundamental properties of the interpolatory polynomials and λ-matrices are derived and used to develop a suitable form for the resolvent. |
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| ISSN: | 0022-247X 1096-0813 |
| DOI: | 10.1016/0022-247X(89)90058-9 |