University of South Florida

Boris Shekhtman

Multivariate and Ideal Interpolation

 

 

1.   [PDF (E6)] (with Carl de Boor), On the pointwise limits of bivariate Lagrange projectors.

 

2.   [PDF (E7)] (with Tom McKinley), On Simultaneous Block-Diagonalization of Cyclic Commuting Matrices.

 

3.   On Real Solutions for System of Polynomial Equations. [PDF]

 

 

4.   with Tom McKinley), What do the Real Ideal Ideal Projectors Interpolate. [PDF]

 

5.   [PDF] On a Conjecture of Tomas Sauer Ragarding Nested Ideal Interpolation.

 

 

6.   [PDF (E1)] On Perturbation of Ideal Complements

 

 

7.   On the Error Formula for Ideal Interpolation [PDF]

 

8.   [PDF]]On the Limits Of Lagrange Projectors

 

9.   On a Variation of one Example of A. Iarrobino [PDF (E4)]

 

10.       [PDF (07,1)] Bivariate Ideal Projectors and their Perturbations, Advances in Computational Mathematics

 

11.       [PDF (07,2)] (with Ma W-X), A Linear System Arising from a     Polynomial Problem, Acta Mat. Cinicia

 

12.       [PDF (1)]On a Conjecturs of Carl de Boor Regarding the Limits of Lagrange Interpolants, Constructive Approximation, Volume 24, Number 3, (2006), 365—370

13.       [PDF (2)] On the naïve error formula for bivariate linear interpolation. Wavelets and splines: Athens 2005, Mod. Methods Math., Nashboro Press, Brentwood, TN, 2006, 416—427

 

14.       [PDF (4)]Uniqueness of Tchebysheff Spaces and their Ideal Relatives, Frontiers in Interpolation and Approximation, Pure and Applied Mathematics, Chapman&Hall, (2006), 407—425.

15.       [PDF, PS (5)]On one Question of Ed Saff, Elec. Trans. Numer. Anal., Vol 25, (2006), 439—445.

16.       [PDF (7)] (with Skrzypek, Les\l aw), Geometric Aspects of minimal Projections onto Plains, Constructive Theory of Functions, Varna 2005 (B.D. Bojanov ed.), Martin Drinov Academic Publishing House, (2006), 267—277.

17.       [PDF (2)] Case study in bivariate Hermite interpolation. J. Approx. Theory 136 (2005), no. 2, 140—150

18.       [PDF (3)] Ideal projections onto planes. Approximation theory XI: Gatlinburg 2004, 395--404, Mod. Methods Math., Nashboro Press, Brentwood, TN, 2005

19.       [PDF (1)] On Hermite interpolation in $R\sb d$. Electron. Trans. Numer. Anal. 18 (2004), 65—72.

20.       [PDF (2)]Polynomial interpolation in $R\sb 3$. Comput. Math. Appl. 48 (2004), no. 9, 1299--1304.

 

21.       [? PDF (3)] Interpolation by matrix-generated polynomials. Advances in constructive approximation: Vanderbilt 2003, 477--493, Mod. Methods Math., Nashboro Press, Brentwood, TN, 2004.

22.       [PDF (2)]Interpolation by polynomials in several variables. Approximation theory, X (St. Louis, MO, 2001), 367--372, Innov. Appl. Math., Vanderbilt Univ. Press, Nashville, TN, 2002.

23.       [PDF (5)] (with Clark, W. Edwin; McColm, Gregory L.) An application of spanning trees to $k$-point separating families of functions. J. London Math. Soc. (2) 58 (1998), no. 2, 297--310.

24.       [PDF (6)] Interpolating subspaces in $\bold R\sb n$. Interpolating at two and three points. Approximation theory, wavelets and applications (Maratea, 1994), 465--471, NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 454, Kluwer Acad. Publ., Dordrecht, 1995.