❶ 濡备綍鐢╩atlab姹傝В涓鍏冮珮娆℃柟绋
濡备綍鐢╩atlab姹傝В涓鍏冮珮娆℃柟绋
濡备綍鐢╩atlab姹傝В涓鍏冮珮娆℃柟绋媥=double(solve('*x^(35/19)+49178*x='))
鍏朵腑鐢╯olve(钬樻柟绋嬧欙级锻戒护瑙ｅ嚭𨱒ョ殑鏄绗﹀彿瑙ｏ纴鍦ㄧ敤double()锻戒护杞鍖栦负鏁板艰В銆备袱锻戒护涔熷彲鍒嗗紑鐢锛屼笉杩囨垜镒熻夎繖镙蜂竴璧风敤姣旇缉绠娲侊纴涓崭细璁﹎atlab鐣岄溃鐪嬭捣𨱒ヤ贡銆
鍒嗗紑鐢ㄧ殑褰㈠纺锛
x=solve('鏂圭▼钬欙级锛
x=double(x)
镙圭殑涓鏁颁竴瀹氢负链楂樻＄殑娆℃暟锛岄噷闱㈠寘𨰾浜嗗緢澶铏氭暟镙
锻靛懙銆伞伞傜敤涓嬮溃锻戒护鐢诲嚭锲炬潵浣犲氨鐭ラ亾涓轰粈涔埚缑涓嶅埌瀹炴牴浜
symsx
f=-*x^(35/19)+49178*x-;
ezplot(f);
line([0,1e6],[0,0])锛%f=0镄勭洿绾
f=0;鍗-*x^(35/19)+49178*x=镙规湰涓嶅彲鑳藉摝
f=0鍗
濡备綍鐢╩atlab𨱒ユ眰瑙ｄ竴鍏冧笁娆℃柟绋瀵逛簬涓鑸镄勪竴鍏冧笁娆℃柟绋嫔彲浠ョ洿鎺solve锛堬级鍑芥暟锻戒护姹傝В銆
渚嫔傦细x^3-2x^2-5x+6=0
>>x=solve('x^3-2*x^2-5*x+6=0','x')%锲炶溅
x=1锛-2锛3璁＄畻缁撴灉
>>x=solve('sin(x)^3-2*sin(x)^2-5*sin(x)+6=0','x')
x=1/2*pi锛-asin(2)锛沘sin(3)
濡备綍鐢╩atlab瑙涓鍏冨洓娆℃柟绋璁捐ュ洓娆℃柟绋嬩负
a0x^4+a1x^3+a2x^2+a3x+a4=0
杈揿叆roots([a0a1a2a3a4])鍗冲彲
濡备綍鐢╩atlab瑙ｄ竴鍏冨洓娆℃柟绋嬫ヤ笉甯﹀弬鏁帮细solve('x^4-x^3+x^2=0')鍗曞紩鍙鍐呭纺瀛愬彲浠ヤ换镒忔敼鍙桡纴浣嗗舰寮忚佷笌渚嫔瓙涓镊淬
甯﹀弬鏁帮细symsabcx;
solve('a*x^4-b*x^3+c*x^2=0',x),瑕佽В鍙橀噺a灏辨敼涓簊olve('a*x^4-b*x^3+c*x^2=0',a)
鐢╒B缂栫▼姹傝В涓涓涓鍏冮珮娆℃柟绋嬶纴姹备唬镰佸凡缁忎紶缁欎綘宸ョ▼浜嗭纴链夐梾棰樼暀瑷銆傛垜浠缁х画璁ㄨ恒
濡备綍鐢╩atlab瑙ｄ竴鍏冧笁娆℃柟绋嬶纻>>%x^3+8*x^2+9*x-308=0姹傛牴
A=[189-308];
S=roots(A)
S=
-6.2999+5.2220i
-6.2999-5.2220i
4.5999
鍦ㄧ嚎绛夛紒镐ワ紒绱фユ眰瑙ｄ竴阆扑竴鍏冮珮娆℃柟绋嬶紒濡备笅锛13k^4锛12k^3锛14k^2锛12k锛1锛0
13k^4锛12k^3锛媖^2锛13k^2锛12k锛1锛0
k^2(13k^2锛12k锛1)锛(13k^2锛12k锛1)锛0
(k^2锛1)(13k^2锛12k锛1)锛0
鈭祂^2锛1锛0
鈭13k^2锛12k锛1锛0
瑙ｈ繖涓鏂圭▼寰楋细k锛(6卤鈭23)/13
濡备綍鐢╨ingo鎴栬卪atlab姹傝В涓鍏浜屾℃柟绋缁1銆佽佽В镄勬柟绋嬩笉鑳藉啓鍦瀛楃︿覆閲岄溃锛岄偅镙峰彉閲弔涓嶈兘璧蜂綔鐢锛
2銆佹柟绋嬩腑0.2x^2椤圭己涔桦彿锛
3銆佸叧浜巟镄勪簩娆℃柟绋嬫湁涓や釜镙癸纴闇瑕侀夋嫨鍏朵腑涓涓镓嶈兘杩涜岃凯浠ｃ
Matlab涓锛屽备綍鐢浜屽垎娉姹傝В楂樻℃柟绋嬶纴绋嫔簭妯″纺濡备綍锛熻阿璋Bisection(浜屽垎娉曪级
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濡备綍瑙ｉ珮娆℃柟绋嬫垜鐢╩athsolver鍙鑳借В涓鍏冧簩娆℃眰闂甿ath-->solver
❷ 濡备綍鐢ㄧ数鑴戣В鏂圭▼
浜屽厓涓娆℃柟绋:
锝沘x+by+c=0
锝沝x+ey+f=0
瑙ｏ细x=(-fb+ec)/(bd+ea)
y=(-c-ax)/b