Write a MATLAB function polyinterp.m that takes as input a set of ( x , y ) interpolating points and another x 0 , and outputs y 0 , the value of the interpolating polynomial at x 0 . The first line of the file should be function y 0 = polyinterp ( x , y , x 0 ) , where x and y are input vectors of data points. Your function may call newtdd from Program 3.1 and nest from Chapter 0, and may be structured similarly to Program 3.2, but without the graphics. Demonstrate that your function works.
Write a MATLAB function polyinterp.m that takes as input a set of ( x , y ) interpolating points and another x 0 , and outputs y 0 , the value of the interpolating polynomial at x 0 . The first line of the file should be function y 0 = polyinterp ( x , y , x 0 ) , where x and y are input vectors of data points. Your function may call newtdd from Program 3.1 and nest from Chapter 0, and may be structured similarly to Program 3.2, but without the graphics. Demonstrate that your function works.
Solution Summary: The author explains how to write a MATLAB function for the given condition using Newton's divided difference method.
Write a MATLAB function polyinterp.m that takes as input a set of
(
x
,
y
)
interpolating points and another
x
0
, and outputs
y
0
, the value of the interpolating polynomial at
x
0
. The first line of the file should be function
y
0
= polyinterp
(
x
,
y
,
x
0
)
, where
x
and
y
are input vectors of data points. Your function may call newtdd from Program 3.1 and nest from Chapter 0, and may be structured similarly to Program 3.2, but without the graphics. Demonstrate that your function works.
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
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