❶ 濡備綍鐢╩atlab奼傝В涓鍏冮珮嬈℃柟紼
濡備綍鐢╩atlab奼傝В涓鍏冮珮嬈℃柟紼
濡備綍鐢╩atlab奼傝В涓鍏冮珮嬈℃柟紼媥=double(solve('*x^(35/19)+49178*x='))
鍏朵腑鐢╯olve(鈥樻柟紼嬧欙級鍛戒護瑙ｅ嚭鏉ョ殑鏄絎﹀彿瑙ｏ紝鍦ㄧ敤double()鍛戒護杞鍖栦負鏁板艱В銆備袱鍛戒護涔熷彲鍒嗗紑鐢錛屼笉榪囨垜鎰熻夎繖鏍蜂竴璧風敤姣旇緝綆媧侊紝涓嶄細璁﹎atlab鐣岄潰鐪嬭搗鏉ヤ貢銆
鍒嗗紑鐢ㄧ殑褰㈠紡錛
x=solve('鏂圭▼鈥欙級錛
x=double(x)
鏍圭殑涓鏁頒竴瀹氫負鏈楂樻＄殑嬈℃暟錛岄噷闈㈠寘鎷浜嗗緢澶鉶氭暟鏍
鍛靛懙銆傘傘傜敤涓嬮潰鍛戒護鐢誨嚭鍥炬潵浣犲氨鐭ラ亾涓轟粈涔堝緱涓嶅埌瀹炴牴浜
symsx
f=-*x^(35/19)+49178*x-;
ezplot(f);
line([0,1e6],[0,0])錛%f=0鐨勭洿綰
f=0;鍗-*x^(35/19)+49178*x=鏍規湰涓嶅彲鑳藉摝
f=0鍗
濡備綍鐢╩atlab鏉ユ眰瑙ｄ竴鍏冧笁嬈℃柟紼瀵逛簬涓鑸鐨勪竴鍏冧笁嬈℃柟紼嬪彲浠ョ洿鎺solve錛堬級鍑芥暟鍛戒護奼傝В銆
渚嬪傦細x^3-2x^2-5x+6=0
>>x=solve('x^3-2*x^2-5*x+6=0','x')%鍥炶濺
x=1錛-2錛3璁＄畻緇撴灉
>>x=solve('sin(x)^3-2*sin(x)^2-5*sin(x)+6=0','x')
x=1/2*pi錛-asin(2)錛沘sin(3)
濡備綍鐢╩atlab瑙涓鍏冨洓嬈℃柟紼璁捐ュ洓嬈℃柟紼嬩負
a0x^4+a1x^3+a2x^2+a3x+a4=0
杈撳叆roots([a0a1a2a3a4])鍗沖彲
濡備綍鐢╩atlab瑙ｄ竴鍏冨洓嬈℃柟紼嬫ヤ笉甯﹀弬鏁幫細solve('x^4-x^3+x^2=0')鍗曞紩鍙鍐呭紡瀛愬彲浠ヤ換鎰忔敼鍙橈紝浣嗗艦寮忚佷笌渚嬪瓙涓鑷淬
甯﹀弬鏁幫細symsabcx;
solve('a*x^4-b*x^3+c*x^2=0',x),瑕佽В鍙橀噺a灝辨敼涓簊olve('a*x^4-b*x^3+c*x^2=0',a)
鐢╒B緙栫▼奼傝В涓涓涓鍏冮珮嬈℃柟紼嬶紝奼備唬鐮佸凡緇忎紶緇欎綘宸ョ▼浜嗭紝鏈夐棶棰樼暀璦銆傛垜浠緇х畫璁ㄨ恆
濡備綍鐢╩atlab瑙ｄ竴鍏冧笁嬈℃柟紼嬶紵>>%x^3+8*x^2+9*x-308=0奼傛牴
A=[189-308];
S=roots(A)
S=
-6.2999+5.2220i
-6.2999-5.2220i
4.5999
鍦ㄧ嚎絳夛紒鎬ワ紒緔фユ眰瑙ｄ竴閬撲竴鍏冮珮嬈℃柟紼嬶紒濡備笅錛13k^4錛12k^3錛14k^2錛12k錛1錛0
13k^4錛12k^3錛媖^2錛13k^2錛12k錛1錛0
k^2(13k^2錛12k錛1)錛(13k^2錛12k錛1)錛0
(k^2錛1)(13k^2錛12k錛1)錛0
鈭祂^2錛1錛0
鈭13k^2錛12k錛1錛0
瑙ｈ繖涓鏂圭▼寰楋細k錛(6鹵鈭23)/13
濡備綍鐢╨ingo鎴栬卪atlab奼傝В涓鍏浜屾℃柟紼緇1銆佽佽В鐨勬柟紼嬩笉鑳藉啓鍦瀛楃︿覆閲岄潰錛岄偅鏍峰彉閲弔涓嶈兘璧蜂綔鐢錛
2銆佹柟紼嬩腑0.2x^2欏圭己涔樺彿錛
3銆佸叧浜巟鐨勪簩嬈℃柟紼嬫湁涓や釜鏍癸紝闇瑕侀夋嫨鍏朵腑涓涓鎵嶈兘榪涜岃凱浠ｃ
Matlab涓錛屽備綍鐢浜屽垎娉奼傝В楂樻℃柟紼嬶紝紼嬪簭妯″紡濡備綍錛熻阿璋Bisection(浜屽垎娉曪級
INPUTendpointsa,b;toleranceTL;maximumnumberofiterationsN0;
.
STEP1:SETi=1;
FA=f(a);
STEP2:Whilei<=N0doSTEP3-6.
STEP3:SETp=a+(b-a)/2;
FP=f(p);
STEP4:IFFP==0or(b-a)<TOLthen
OUTPUT(p);
STOP;
STEP5:SETi=i+1;
STEP6:IFFA*FP>0thenseta=p;
FA=FP;
elsesetb=p;
STEP7:OUTPUT('MethodfailedafterN0iterations,N0=',N0);
STOP
ti84濡備綍瑙ｉ珮嬈℃柟紼嬫垜鐢╩athsolver鍙鑳借В涓鍏冧簩嬈℃眰闂甿ath-->solver
❷ 濡備綍鐢ㄧ數鑴戣В鏂圭▼
浜屽厓涓嬈℃柟紼:
鍀沘x+by+c=0
鍀沝x+ey+f=0
瑙ｏ細x=(-fb+ec)/(bd+ea)
y=(-c-ax)/b