Birkhoff interpolation
G. G. Lorentz, K. Jetter, S. D. Riemenschneider.
Reading, Mass. : Addison-Wesley, 1983.
lv, 237 págs. ; 25 cm.
Serie: Encyclopedia of mathematics and its applications ; v. 19. Section, Interpolation and approximation
ISBN: 0201135183, 0521302390 (Cambridge Univ. Press)
Bibliografía: p. 220-231.
Reseña: MathSciNet, 84g:41002
Contenido
- Introduction: Approximation and interpolation in the last 20 years
- 1. Basic definitions and properties
- 2. Further elementary theorems
- 3. Coalescence of rows
- 4. Applications of coalescence
- 5. Rolle extensions and independent sets of knots
- 6. Singluar matrices
- 7. Zeros of Birkhoff splines
- 8. Almost-Hermitian matrices; special three-row matrices
- 9. Applications
- 10. Birkhoff quadrature formulas
- 11. Interpolation at the roots of unity
- 12. Turán's problem of (0,2) interpolation
- 13. Birkhoff interpolation by splines
- 14. Regularity theorems and self-dual problems.