Matrix expression of hermite interpolation polynomials

✍ Scribed by S. Kida; E. Trimandalawati; S. Ogawa

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 127 KB
• Volume: 33
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/s0898-1221(97)00083-7

✦ Synopsis

For distinct points xo, xl,..., xn in R, a function f of Cd[a, b] and nonnegative integers do, dl,..., dn <_ d, the Hermite interpolation polynomial of f(x) in Lagrange type determined by the = n d data{f(O(xi)}(i=O, 1 ..... n,l=O, 1 ...

. ,di) isthepolynomialwithdegreem+n(m ~-~=o z)

which is expressed by the linear combination of these data with suitable coefficient polynomials being independent of f(x) [1][2][3]. In this note, a matrix expression of the Hermite interpolation polynomial is studied.

Keywords--Interpolation and matrix expression.

Algebra System (e.g., MATHEMATICA, Maple, MACSYMA) may be effective.