2013
绾у伐绉戠澹爺绌剁敓
銆婄煩闃典笌鏁板�煎垎鏋愩�嬭绋嬫暟鍊煎疄楠岄鐩?/p>
涓�銆佽
6
2
2
10
1
N
N
j
S
j
飥?/p>
飥?
飥?/p>
飪?
锛屽垎鍒紪鍒朵粠灏忓埌澶у拰浠庡ぇ鍒板皬鐨勯『搴忕▼搴忓垎鍒绠?/p>
10000
1000000
,
S
S
骞舵寚鍑轰袱绉嶆柟娉曡绠楃粨鏋滅殑鏈夋晥浣嶆暟銆?/p>
Matlab
绋嬪簭濡備笅锛?/p>
function [si,sd]=S(N)
format long;
si=0;sd=0;
for j=N:-1:2
si=1.0e6/(j^2-1)+si;
end
for j=2:N
sd=1.0e6/(j^2-1)+sd;
end
end
鍦?/p>
matlab
鍛戒护绐楀彛涓緭鍏ワ細
[si,sd]=S(10000)
杩愯缁撴灉锛?/p>
si =7.499000049995000e+005
sd =7.499000049994994e+005
鍦?/p>
matlab
鍛戒护绐楀彛涓緭鍏ワ細
[si,sd]=S(1000000)
杩愯缁撴灉锛?/p>
si =7.499990000005000e+005
sd =7.499990000005200e+0051
缁撴灉鍒嗘瀽锛?/p>
si
涓轰粠澶у埌灏忕殑椤哄簭姹傚拰鐨勫�硷紝
sd
涓轰粠灏忓埌澶х殑椤哄簭姹傚拰鐨勫�笺�?/p>
褰?/p>
N
鍒嗗埆涓?/p>
10000
鍜?/p>
1000000
鏃讹紝
si
鍒嗗埆涓?/p>
7.499000049995000e+005
鍜?/p>
7.499990000005000e+005
锛屽彲浠ョ湅鍑?/p>
杩?/p>
涓?/p>
涓?/p>
鏁?/p>
鐨?/p>
鏈?/p>
鏁?/p>
鍊?/p>
鍧?/p>
涓?/p>
13
浣?/p>
锛?/p>
鑰?/p>
sd
鍒?/p>
鍒?/p>
涓?/p>
7.499000049994994e+005
鍜?/p>
7.499990000005200e+005
锛岃繖涓や釜鏁扮殑鏈夋晥鍊煎潎涓?/p>
16
浣嶃�傝繖灏卞嚭鐜颁簡鎴戜滑鍦ㄧ煩闃电悊璁鸿涓?/p>
鎵�瀛︾殑
鈥滃ぇ鏁板悆灏忔暟鈥濈殑闂銆?/p>
涓轰簡浣跨粨鏋滄洿涓虹簿纭垜浠繀椤婚伩鍏嶅湪鍥涘垯杩愮畻涓嚭鐜扳�滃ぇ鏁?/p>
鍚冨皬鏁扳�濈殑鎯呭喌锛屽簲璇ユ寜浠庡皬鍒板ぇ鐨勯『搴忚繘琛屾眰鍜屻�?/p>
浜屻�佽В绾挎�ф柟绋嬬粍
1
锛?/p>
鍒嗗埆鍒╃敤
Jacobi
杩唬娉?/p>
鍜?/p>
Gauss-Seidel
杩唬娉?/p>
姹傝В绾挎�ф柟绋嬬粍
Ax
b
飥?/p>
锛?/p>
鍏朵腑甯稿悜
閲忎负
飥?/p>
飥?/p>
2
1
n
飥?/p>
缁撮殢鏈虹敓鎴愮殑鍒楀悜閲忥紝绯绘暟鐭╅樀
A
鍏锋湁濡備笅褰㈠紡