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内容简介作者简介 - 科学与工程计算系

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P=poly(R)<br />

PR=real(P)<br />

PPR=poly2str(PR,'x')<br />

P =<br />

1.0000 1.1000 0.5500 0.1250<br />

PR =<br />

1.0000 1.1000 0.5500 0.1250<br />

PPR =<br />

x^3 + 1.1 x^2 + 0.55 x + 0.125<br />

2.8.2 多项式运算函数<br />

2<br />

( s + 2)(<br />

s + 4)(<br />

s + 1)<br />

【例 2.8.2-1】求<br />

的“商”及“余”多项式。<br />

3<br />

s + s + 1<br />

p1=conv([1,0,2],conv([1,4],[1,1]));<br />

p2=[1 0 1 1];<br />

[q,r]=deconv(p1,p2);<br />

cq='商多项式为 '; cr='余多项式为 ';<br />

disp([cq,poly2str(q,'s')]),disp([cr,poly2str(r,'s')])<br />

商多项式为 s + 5<br />

余多项式为 5 s^2 + 4 s + 3<br />

【例 2.8.2-2】两种多项式求值指令的差别。<br />

S=pascal(4)<br />

P=poly(S);<br />

PP=poly2str(P,'s')<br />

PA=polyval(P,S)<br />

PM=polyvalm(P,S)<br />

S =<br />

1 1 1 1<br />

1 2 3 4<br />

1 3 6 10<br />

1 4 10 20<br />

PP =<br />

s^4 - 29 s^3 + 72 s^2 - 29 s + 1<br />

PA =<br />

1.0e+004 *<br />

0.0016 0.0016 0.0016 0.0016<br />

0.0016 0.0015 -0.0140 -0.0563<br />

0.0016 -0.0140 -0.2549 -1.2089<br />

0.0016 -0.0563 -1.2089 -4.3779<br />

PM =<br />

1.0e-010 *<br />

0.0016 0.0033 0.0090 0.0205<br />

0.0045 0.0101 0.0286 0.0697<br />

0.0095 0.0210 0.0653 0.1596<br />

0.0163 0.0387 0.1226 0.3019<br />

【例 2.8.2-3】部分分式展开。<br />

a=[1,3,4,2,7,2];<br />

b=[3,2,5,4,6];<br />

[r,s,k]=residue(b,a)<br />

r =<br />

1.1274 + 1.1513i<br />

1.1274 - 1.1513i<br />

-0.0232 - 0.0722i<br />

-0.0232 + 0.0722i<br />

0.7916<br />

s =<br />

6

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