Biorthogonal Polynomial Bases and Vandermonde‐like Matrices

DOI10.1002/sapm1995953269zbMath0834.15019OpenAlexW2502112728MaRDI QIDQ4855788

Luis Verde-Star

Publication date: 14 December 1995

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm1995953269

zbMATH Keywords

algorithminterpolation formulasrational functionsbiorthogonalityinversesGram matricesindefinite inner productsconfluent Vandermonde matricesvector space of polynomialsChebyshev-Vandermonde matricespartial fractions decompositionsbiorthogonal polynomial basesdivided difference functional

Mathematics Subject Classification ID

Hermitian, skew-Hermitian, and related matrices (15B57) Interpolation in approximation theory (41A05) Direct numerical methods for linear systems and matrix inversion (65F05) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items

Unnamed Item, Divided Differences and Linearly Recursive Sequences, Displacement structure approach to q-adic polynomial-Vandermonde and related matrices, Representation of symmetric functions as Gram determinants, Confluent polynomial Vandermonde-like matrices: Displacement structures, inversion formulas and fast algorithm, Functions of matrices, On computing Schur functions and series thereof

Cites Work

• Unnamed Item
• Partial fractions expansion: A review of computational methodology and efficiency
• Inverses of generalized Vandermonde matrices
• On Bézoutian reduction with the Vandermonde matrix
• A Chebychev-Vandermonde solver
• Fast inversion of Chebyshev-Vandermonde matrices
• Bézoutian representation via Vandermonde matrices
• Biorthonormal systems, partial fractions, and Hermite interpolation
• Divided Differences and Combinatorial Identities
• Polynomial Sequences of Interpolatory Type