Matrix Padé-type approximant and directional matrix Padé approximant in the inner product space.

DOI10.1016/S0377-0427(03)00487-4zbMath1050.41012MaRDI QIDQ1426783

Chuanqing Gu

Publication date: 15 March 2004

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

orthogonal polynomialsalgebraic propertiesmodal methodsdeterminant formulasdirectional matrix Padé approximantsmatrix Padé-type approximantmultivariable system reductionscalar product of matrices

Mathematics Subject Classification ID

Padé approximation (41A21) Proceedings, conferences, collections, etc. pertaining to approximations and expansions (41-06)

Related Items (9)

Computing the determinants of matrix Padé approximation ⋮ A new algorithm to approximate bivariate matrix function via Newton-Thiele type formula ⋮ Function-valued partial Padé-type approximation method for estimating eigenvalues of Fredholm integral equation of the second kind ⋮ Orthogonal polynomials and determinant formulas of function-valued Padé-type approximation using for solution of integral equations ⋮ Stable Routh-Padé-type approximation in model reduction of interval systems ⋮ A matrix padé-type-routh model reduction method for multivariable linear systems ⋮ A two-dimensional matrix Padé-type approximation in the inner product space ⋮ The tensor Padé-type approximant with application in computing tensor exponential function ⋮ Matrix Shanks Transformations

Cites Work

• Unnamed Item
• Padé-type approximation and general orthogonal polynomials
• A new presentation of orthogonal polynomials with applications to their computation
• Vector Padé-type approximants and vector Padé approximants
• From matrix to vector Padé approximants
• Generalized inverse matrix Padé approximation on the basis of scalar products
• Vector-valued Rational Interpolants II
• Theory and recursive computation of 1-D matrix Pade approximants
• Linear system reduction using Pade approximation to allow retention of dominant modes
• A mixed method for multivariable system reduction

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