The work of Mariano Gasca
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Publication:878100
DOI10.1007/s10444-006-9024-1zbMath1147.01316OpenAlexW2062861825MaRDI QIDQ878100
J. M. Carnicer, Juan Manuel Peña
Publication date: 26 April 2007
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10444-006-9024-1
Cites Work
- Backward error analysis of Neville elimination
- Bivariate Hermite-Birkhoff interpolation and Vandermonde determinants
- On the solvability of bivariate Hermite-Birkhoff interpolation problems
- Interpolation systems in \(R^ k\)
- A generalization of Sylvester's identity on determinants and some applications
- Generalized Schur-complements and a test for total positivity
- Elimination techniques and interpolation
- On Lagrange and Hermite interpolation in \(R^ k\).
- A general recurrence interpolation formula and its applications to multivariate interpolation
- Total positivity and Neville elimination
- Multivariate polynomial interpolation under projectivities. I: Lagrange and Newton interpolation formulas
- Almost strictly totally positive matrices
- Multivariate polynomial interpolation under projectivities. II: Neville- Aitken formulas
- Scaled pivoting in Gauss and Neville elimination for totally positive systems
- A test for strict sign-regularity
- A matricial description of Neville elimination with applications to total positivity
- Multivariate polynomial interpolation under projectivities. III: Remainder formulas
- Asymptotic conditions for degree diminution along prescribed lines
- Classification of bivariate configurations with simple Lagrange interpolation formulae
- Bivariate Hermite-Birkhoff polynomial interpolation with asymptotic conditions
- On the history of multivariate polynomial interpolation
- Elimination techniques: From extrapolation to totally positive matrices and CAGD
- Generation of lattices of points for bivariate interpolation
- On the computation of determinants arising in some bivariate rational interpolation problems
- Computation of rational interpolants with prescribed poles
- On the characterization of almost strictly totally positive matrices
- Polynomial interpolation in several variables
- Interpolation on lattices generated by cubic pencils
- Total Positivity, $QR$ Factorization, and Neville Elimination
- Evaluation of Multivariate Polynomials and Their Derivatives
- On Bivariate Hermite Interpolation with Minimal Degree Polynomials
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