%Iarrobino1972
% carl 03apr06
\rhl{}
\refJ Iarrobino, A.;
Reducibility of the families of $0$-dimensional schemes on a variety;
Inventiones Math.; 15; 1972; 72--77;

%IarrobinoEmsalem1978
% boris 21nov08
\rhl{IE}
\refJ Iarrobino, A., Emsalem, J.;
Some zero-dimensional generic singularities: finite algebra having small
   tangent space;
Compositio Mathematica; 36(2); 1978; 145--188;
% The ideal but non-Hermite projector P is from C[x,y,z,w] onto the 
% 8-dimensional subspace G spanned by {1,x,y,z,w,xz,yz,yw} defined by  
% Pxw=yz and Pu=0 for the rest of monomials not in G.  

%Ibanez2003
% author 03apr06
\rhl{}
\refD Ib\'a\~nez P\'erez, M. J.;
Quasi-interpolantes spline discretos de norma casi minima. Teoria y
   aplicaciones;
Universidad de Granada; 2003;

%IbragimovAlieve1965
% larry
\rhl{I}
\refJ Ibragimov,  I. I., Alieve, R. M.;
Best quadrature formulas for certain classes of functions;
Doklady; 162; 1965; 621--624;

%Ibrahim1989
% larry
\rhl{I}
\refD Ibrahim,  A. Kh.;
On multivariate spline approximation;
Suez Canal Univ.; 1989;

%Ibrahim1989b
% larry
\rhl{I}
\refP Ibrahim,  A. Kh.;
Dimension of superspline spaces defined over rectilinear partitions;
\TexasVI; 337--340;

%IbrahimSchumaker1991
% larry
\rhl{I}
\refJ Ibrahim,  A., Schumaker, L. L.;
Super spline spaces of smoothness $r$ and degree $d\ge 3r+2$;
\CA; 7; 1991; 401--423;

%IchidaYoshimotoKiyomo1973
\rhl{I}
\refJ Ichida,  K., Yoshimoto, F., Kiyomo, T.;
Data fitting by a spline;
Mem.\ Fac.\ Eng.\ Kyoto Univ.; 35; 1973; 237--250;

%IchidaYoshimotoKiyomo1976
% larry
\rhl{I}
\refJ Ichida,  K., Yoshimoto, F., Kiyomo, T.;
Curve fitting by a piecewise cubic polynomial;
\C; 16; 1976; 329--338;

%IchidaYoshimotoKiyomo1977
\rhl{I}
\refJ Ichida,  K., Yoshimoto, F., Kiyomo, T.;
Curve fitting by a one-pass method with a piecewise cubic
 polynomial;
\ACMTMS; 3; 1977; 164--174;

%IgnatovKaishev1984
\rhl{I}
\refR Ignatov,  Z. G., Kaishev, V. K.;
B-splines and linear combinations of uniform order statistics;
MRC Rpt.\ 2817; 1984;

%IgnatovKaishev1987
% carl
\rhl{I}
\refQ Ignatov,  Z. G., Kaishev, V. K.;
On the computation of distributions of serial correlation coefficients through
B-splines;
(Proc.\ 2.\ Intern.Tampere Conf.\ in Statistics (1-4 June 1987)),
Tarmo Pukkila and Simo
Puntane (eds.), Dep.\ Math.\ Sci., Univ.\ Tampere (Finland); 1987; 479--489;

%IkaunieksErmusa1968
\rhl{I}
\refJ Ikaunieks,  E. A., Ermusa, A. E.;
Concave piecewise polynomial interpolation (Russian);
Latvian Math.\ Yearbook; 4; 1968;	    149--163;

%Ikebe1971
\rhl{I}
\refR Ikebe,  Y.;
Hermite-Birkhoff interpolation problems in Haar subspaces;
CNA 7; 1971;

%Iliev1978
% larry
\rhl{I}
\refJ Iliev,  G. L.;
Exact estimates for partially monotone approximation;
Analysis Mathematica; 4; 1978; 181--197;

%Iliev1978b
% larry
\rhl{I}
\refJ Iliev,  G. L.;
Partially monotone interpolation;
Serdica; 4; 1978; 267--276;

%Iliev1979
% larry
\rhl{I}
\refJ Iliev,  G. L.;
Approximation by polynomials which keep the monotony of the approximated
function;
Serdica; 5; 1979;  283--286;

%Iliev1980
% sonya
\rhl{I}
\refJ Iliev,  G. L.;
Exact estimates for monotone interpolation;
\JAT; 28; 1980;  101--112;

%Iliev1981
% larry
\rhl{I}
\refJ Iliev,  G. L.;
Analogues of Jackson theorem for the partially monotone approximation;
C. R. Acad.\ Bulg.\ Sci.; 34; 1981;  949--952;

%Iliev1986
\rhl{I}
\refR Iliev,  G.;
Numerical methods for interpolation with restrictions and their
convergence: Newton's method;
xx; 1986;

%Iliev1991
\rhl{I}
\refR Iliev,  G. L.;
Theorems for monotone convergence of an iteration process of Newton's type and 
some applications for solving problems in the ``best'' convex interpolation;
Bulgarian Acad.\ of Sciences; 1991;

%Iliev2008
% carl 05mar08
\rhl{I}
\refR Iliev, Plamen;
Bispectral commutative difference operators for some multivariable
   Askey-Wilson polynomials;
arXiv:0801.4939; 2008;
% sequences of commuting $q$-difference operators and their diagonalization

%IlievPollul1983
\rhl{I}
\refJ Iliev,  G. L., Pollul, W.;
Convex interpolation with minimal $L_\infty$
	 norm of the second derivative;
\MZ; X;  1983; XX;

%IlievPollul1984
\rhl{I}
\refR Iliev,  G. L., Pollul, W.;
Convex interpolation by functions with minimal $L_p$  norm
   $(1 < p < \infty)$ of the $k$th derivative;
CA; 1984;

%IlievScherer1982
\rhl{I}
\refR Iliev,  G. L., Scherer, K.;
Direct and converse theorems for approximation of curves by polygons;
Bonn; 1982;

%Imhof1963
\rhl{I}
\refJ Imhof,  J. P.;
Remarks on quadrature formulas;
J. Soc.\ Indust.\ Appl.\ Math.; 11; 1963; 336--341;

%InbanezPerez2003
% author
\rhl{}
\refD Iba\~nez-P\'erez, M. J.;
Cuasi-interpolantes spline discretos con norma casi minima: teoria y
   aplicaciones;
Universidad de Granada; 2003;

%IngramMann2004
% carlref 03apr06
\rhl{}
\refP Ingram, C. K., Mann, S.;
Geometric B-splines over triangular domains;
\Seattle; 329--340;

%Innanen1967
% larry
\rhl{I}
\refJ Innanen,  K. A.;
An example of precise interpolation with a
	 spline function;
J.  Comp.\  Phys.; 2; 1967; 303--304;

%Inoue1991
\rhl{I}
\refR Inoue,  T.;
On limit distribution of extremal points of weighted $n$-th diameter;
Kobe Univ.\ of Mercantile Marine, Higashinada Kobe, Japan; 1991;

%Inselberg1976
\rhl{I}
\refJ Inselberg,  A.;
Cubic spline with infinite derivatives at some knots;
IBM J.	Res.\  Develop.; 20; 1976; 430--436;

%IoffeTikhomirov1974
% kersey 20jun97
\rhl{I}
\refB  Ioffe, A., Tikhomirov, V. M.;
Theory of Extremal Problems (Russian);
Nauka (Moskva);  1974;
% Teoriia ekstremal'nykh zadach

%Ionescu1970
% larry
\rhl{I}
\refJ Ionescu,  D. V.;
Introduction \`a la th\'eorie des fonctions spline;
Acta Math.\  Acad.\  Sci.\  Hungar.; 21; 1970;  21--26;

%Iqbal1990
\rhl{I}
\refJ Iqbal,  R.;
A one-pass algorithm for shape preserving quadratic spline interpolation;
\SJSSC; xxx; 1990; xxx;

%IrodotouEllinaHoustis1988
% .
\rhl{IEH}
\refJ Irodotou-Ellina,  M., Houstis, E. N.;
An $O(h^6)$ quintic spline collocation method for fourth order two-point
   boundary value problems;
\BIT; 28; 1988; 288--301;

%Irons1969
\rhl{I}
\refJ Irons,  B. M;
A conforming quartic triangular element for plate bending;
Internat.\ J. Numer.\ Meth.\ Engr.; 1; 1969; 29--46;

%IrvineMarinSmith1986a
% greg
\rhl{I}
\refJ Irvine,  L. D., Marin, P. S., Smith, W. P.;
Constrained interpolation and smoothing;
\CA; 2; 1986; 129--151;

%IsaacsonKeller1966a
% shayne 26oct95
\rhl{I}
\refB Isaacson, E., Keller, H. B.;
Analysis of numerical methods;
Wiley (New York); 1966;
% there is also a Dover (New York) 1994 edition

%IsmailKoelink2008
% carl 21nov08
\rhl{IK}
\refR Ismail, Mourad E. H., Koelink, Erik;
The $J$-matrix method: a survey of tridiagonalization;
{{\tt arXiv:0810.4558}}; 2008;
% abstract Lanczos method

%Ivan1987
\rhl{I}
\refR Ivan,  M.;
Surfaces interpolatoires du type B\'ezier;
Cluj; 1987;

%IvanovPopov1996
% larry 05mar08
\rhl{IP}
\refJ Ivanov, K. G., Popov, B.;
On convex approximation by quadratic splines;
\JAT; 85; 1996; 110--114;

%IvanovRivlinSaff1990
% carl 04mar10
\rhl{}
\refJ Ivanov, K. G., Rivlin, T. J., Saff, E. B.;
The representation of functions in terms of their divided differences at 
   Chebyshev nodes and roots of unity;
J. London Math.\ Soc.\ (2); 42; 1990; 309--328;

%IyanagaKawada1980
% . 08apr04
\rhl{}
\refB Iyanaga, S., Kawada, Y.;
Interpolation;
Encyclopedic Dictionary of Mathematics, MIT Press (Cambridge MA); 1980;

%Izumino1983
% . 02feb01
\rhl{}
\refJ Izumino, S.;
Convergence of generalized splines and spline projectors;
\JAT; 38; 1983; 269--278;