工程科学计算.pdf

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1、srxuwtv}u0C72010u3'8
Æi.5br_=fo1§1.1E62x+-`.................................1§1.2-jy2UGauss`.............................2§1.2.18Gaussq`..............................3§1.2.2Z$>Gaussq`............................7§1.2.3jy2UyF!"6.........................9§1.3:6'f-.

2、...................................11§1.3.1Doolittlef-.................................11§1.3.2Z'2m`.............................18§1.4jyÆ`.....................................19§1.5-jy2UTE`................................23§1.5.1TE`w+

3、/Uy......................23§1.5.2Ja

4、cobiTE`.................................25§1.5.3SeidelTE`.................................28§1.5.4SORTE`..................................31§1.6-ejy2UTE`d........................34§1.6.1FTEp+

5、.Uy..........................34§1.6.2TEp+/Uy!/U*.........................36§1.7-e

6、jy2UNewton`............................37§1.7.1Newtonp+..................................37§1.7.29&/UU.................................38§1.7.3Newtonp+w..............................391j/6s`>gp§1.1dtahzqA=(aij)-n×n60f℄i

7、6xZ++a11a12···a1j···a1na21a22···a2j···a2n...

8、.......···.···.detA=ai1ai2···aij···ain............···...an1an2···anj···ann2Laplace0AUix0A+YXndetA=aijAij=ai1Ai1+ai2Ai2+···+ainAinj=1

9、EAij-aijE6+RixjZ$>
qn−1*+*i+j1(−1).Laplace0AU$n*xZ+Yn−1*xZ+ek℄i$Laplace0AUs6n*jy2U-x+Cbn*jy2Ua11x1+a12x2+······+a1nx

10、n=b1,a21x1+a22x2+······+a2nxn=b2,(1.1.1)·········an1x1+an2x2+······+annxn=bn.−1v0:6w+YAx=b.Ub6:6A-e}.2U?+W-x=Ab.Y62U(1.1.1)-<+#4q2xk=xk,k∈{1,2,···,n},$42Ukv0(n+1)q~=2U!v0:6w+00···10···0xkx1a11a12···a1ka1k+1···a1nb1x2a21a22···a2ka2(k+1)···a

11、2nb2x3.......=0.(1.1.2)..........······....a(n−1)1a(n−1)2···a(n−1)ka(n−1)(k+1)···a(n−1)nbn−1xnan1an2···ankan(k+1)···annbn−11jophnlgqimk24q~=2e℄-C00···10···0xka11a12···a1ka1k+1···a1nb1a21a22···a2ka2(k+1)···a2nb2det......=0.........

12、······...a(n−1)1a(n−1)2···a(n−1)ka(n−1)(k+