Let z0 = x0, z1 = x0, z2 = x1, and z3 = x1. Form the following

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Let z0 = x0, z1 = x0, z2 = x1, and z3 = x1. Form the following divided-difference table.

Show that the cubic Hermite polynomial H3(x) can also be written as f [z0] + f [z0, z1](x ˆ’ x0) + f [z0, z1, z2](x ˆ’ x0)2 + f [z0, z1, z2, z3](x ˆ’ x0)2(x ˆ’ x1).

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Numerical Analysis

ISBN: 978-0538733519

9th edition

Authors: Richard L. Burden, J. Douglas Faires

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Question Posted: Mar 22, 2016 02:38 AM

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Let z0 = x0, z1 = x0, z2 = x1, and z3 = x1. Form the following

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fIzo. 31,22l 1zo. 21.22, 3 fIz2.zsl-f(a)

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Let Hx fz 0 fz 0 z 1 x x 0 fz 0 z 1 z 2 x x 0 2 fz 0 z 1 z 2 z 3 x x 0 2 x x 1 Substitutin...View the full answer

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