Matrix polynomial solutions of tangential Lagrange-Sylvester interpolation conditions of low McMillan degree (Q923683)
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scientific article; zbMATH DE number 4171137
| Language | Label | Description | Also known as |
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| English | Matrix polynomial solutions of tangential Lagrange-Sylvester interpolation conditions of low McMillan degree |
scientific article; zbMATH DE number 4171137 |
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Matrix polynomial solutions of tangential Lagrange-Sylvester interpolation conditions of low McMillan degree (English)
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1990
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The authors construct a matrix polynomial function with low McMillan degree satisfying a given set of tangential Lagrange-Sylvester interpolation condition. Several contour integral interpolation problems are considered and the interpolation conditions are formulated in divisor-remainder form. A Euclidean algorithm with respect to the McMillan degree and a matrix polynomial are given. General results for two-sided tangential Lagrange-Sylvester interpolation problems for matrix polynomials are also obtained.
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matrix polynomial function
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low McMillan degree
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Lagrange-Sylvester interpolation condition
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contour integral interpolation problems
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Euclidean algorithm
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