Thiele-type and Lagrange-type generalized inverse rational interpolation for rectangular complex matrices
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Publication:1124936
DOI10.1016/S0024-3795(99)00036-1zbMath0932.93020MaRDI QIDQ1124936
Publication date: 29 November 1999
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Theory of matrix inversion and generalized inverses (15A09) Algebraic methods (93B25) Approximation by rational functions (41A20) Realizations from input-output data (93B15)
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A new algorithm to approximate bivariate matrix function via Newton-Thiele type formula ⋮ Three-dimensional generalized inverse matrix rational interpolation ⋮ Some algebraic properties of generalized inverse matrix-valued Padé approximation ⋮ Vector valued Thiele-Werner-type osculatory rational interpolants. ⋮ A note on the determinant formulas computation of generalized inverse matrix Padé approximation. ⋮ Abstract Interpolating Fraction of the Thiele Type ⋮ Abstract interpolation by continued Thiele-type fractions ⋮ Continued fraction algorithm for matrix exponentials ⋮ An osculatory rational interpolation method of model reduction in linear system ⋮ Generalized inverse matrix Padé approximation on the basis of scalar products
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