基于matlab的科学计算实验说明书

1科学计算与数据处理实验报告学号S311060149姓名张园实验名称基于MATLAB的科学计算实验实验目的1、掌握MATLAB中数组的创建和操作方法洗手掌握MATLAB中常用的数值计算方法洗手掌握MATLAB中常用的符号计算方法实验方案一维数组创建实验BEEF洗手1直接输入法BEEF洗手TEST1234洗手TEST1BEEF2BEEF3BEEF4洗手2步长生成法BEEFTEST10510洗手3定数线性采样法BEEFTESTLINSPACE1,12,5洗手4定数对数采样法BEEFLOGSPACE2,6,4洗手高维数组创建实验BEEF洗手（1）直接输入法BEEF洗手A123BEEF456BEEF789洗手（2）使用下标BEEF洗手CLEAR,A2,3,21洗手（3）使用低维数组BEEF洗手CLEAR,AEYE3,4BEEFA,2EYE3,42BEEFA,3EYE3,43BEEFA,4EYE3,44洗手（4）使用创建函数（CAT、BEEFREPMAT、BEEFRESHAPE）创建高维数组BEEF洗手CAT3,1,2,3BEEF4,5,6,EYE2,32,ONES2,3洗手REPMAT1,2BEEF3,4,1,2,3洗手RESHAPE120,2,5,2洗手三、BEEF标准数组创建实验BEEF洗手（1）全0矩阵BEEFZEROS3洗手（2）全1矩阵BEEFONES5洗手（3）单位矩阵BEEFEYE4洗手（4）MAGIC矩阵BEEFMAGIC4洗手（5）随机矩阵BEEFRANDN4洗手四、BEEF矩阵变换实验BEEF令DATA1,2,3,4BEEF5,6,7,8BEEF9,10,11,12，吃饭分别使用DIAG、BEEF、BEEFFLIPLR、BEEFFLIPUD、BEEFROT90、BEEFTRIL、BEEFTRIU函数计算DATA的对角、BEEF转置、BEEF翻转、BEEF旋转、BEEF三角矩阵，吃饭具体命令如下BEEF洗手DATA1,2,3,4BEEF5,6,7,8BEEF9,10,11,12洗手DIAGDATA洗手DATA洗手FLIPLRDATA洗手FLIPUDDATA洗手ROT90DATA洗手TRILDATA洗手TRIUDATA洗手2洗手五、BEEF字符串数组创建与操作实验BEEF洗手1创建字符串数组BEEF洗手ARRSTR2MATI,AM,A,STUDENT洗手2去掉字符串末尾的空格DEBLANKBEEF洗手建立字符串，吃饭用ABS函数验证空格的存在；BEEF用DEBLANK去掉空格，吃饭用ABS已经去掉空格洗手XANBEEFYABSX洗手ZDEBLANKXBEEFWABSZ洗手3删除字符串开头和结尾的空格STRTRIM洗手STR1IAMASTUDENTBEEF洗手STR2IAMASTUDENTBEEF洗手XSTRTRIMSTR1洗手YSTRTRIMSTR2洗手4执行简单的字符串替代STRREP、BEEF洗手STR1IAMASTUDENTBEEF洗手STR2STUDENTBEEF洗手STR3TEACHERBEEF洗手STRSTRREPSTR1,STR2,STR3洗手5规范格式STRREAD；BEEF洗手STRREAD0231,53F洗手6函数STRTOK找出由特定字符指定的字符串内的标记；BEEF洗手ARIAMASTUDENT洗手STRTOKAR,S洗手架构数组的创建与操作实验BEEF洗手直接创建法BEEF洗手CLEARXBEEFXREAL12345BEEFXIMAGONES4洗手命令（STRUCT）创建法洗手SSTRUCTNAME,X,Y,ID,3,4,W,3,4洗手FIELDNAMES函数BEEF洗手FIELDNAMESS洗手GETFIELD函数BEEF洗手STR1,1NAMEXBEEF洗手STR1,1ID5BEEF洗手STR2,1NAMEYBEEF洗手STR2,1ID3BEEF洗手RESULTGETFIELDSTR,2,1,NAME洗手SETFIELD函数BEEF洗手STR1,1NAMEXBEEF洗手STR1,1ID5BEEF洗手STR2,1NAMEYBEEF洗手STR2,1ID3BEEF洗手STRSETFIELDSTR,2,1,NAME,ABEEF洗手STR2,1NAME洗手3基本运算符号实验BEEF洗手1矩阵加BEEF洗手A1,2,3BEEF4,5,6BEEF7,8,9BEEF洗手B3,6,9BEEF1,2,3BEEF2,4,6BEEF洗手AB洗手2矩阵减BEEF洗手A1,2,3BEEF4,5,6BEEF7,8,9BEEF洗手B3,6,9BEEF1,2,3BEEF2,4,6BEEF洗手AB洗手（3）矩阵乘洗手A1,2,3BEEF4,5,6BEEF7,8,9BEEF洗手B3,6,9BEEF1,2,3BEEF2,4,6BEEF洗手AB洗手（4）数组乘洗手A1,2,3BEEF4,5,6BEEF7,8,9BEEF洗手B3,6,9BEEF1,2,3BEEF2,4,6BEEF洗手AB洗手（5）矩阵乘方洗手A1,2,3BEEF4,5,6BEEF7,8,9BEEF洗手A2洗手（6）数组乘方洗手A1,2,3BEEF4,5,6BEEF7,8,9BEEF洗手B3,6,9BEEF1,2,3BEEF2,4,6BEEF洗手AB洗手（7）矩阵左除洗手A1,2,3BEEF4,5,6BEEF7,8,9BEEF洗手B2BEEF4BEEF6BEEFAB洗手（8）矩阵右除洗手AONES3BEEF洗手B1,1,1BEEF洗手A/B洗手（9）数组左除洗手A1,2,3BEEF4,5,6BEEF7,8,9BEEF洗手B3,6,9BEEF1,2,3BEEF2,4,6BEEF洗手AB洗手（10）数组右除洗手A1,2,3BEEF4,5,6BEEF7,8,9BEEF洗手B3,6,9BEEF1,2,3BEEF2,4,6BEEF洗手A/B洗手（11）克罗内克张量积洗手A1,0,1BEEF1,1,1BEEF1,0,1BEEF洗手B0,0,1BEEF1,0,1BEEF0,0,1BEEFKRONA,B洗手（12）逻辑与洗手A1,0,1BEEF1,1,1BEEF1,0,1BEEF洗手4B0,0,1BEEF1,0,1BEEF0,0,1BEEFABEEF1,1,1BEEF1,0,1BEEF洗手B0,0,1BEEF1,0,1BEEF0,0,1BEEFA|B洗手（14）逻辑非洗手A1,0,1BEEF1,1,1BEEF1,0,1BEEF洗手A洗手（15）逻辑异或洗手A1,0,1BEEF1,1,1BEEF1,0,1BEEF洗手B0,0,1BEEF1,0,1BEEF0,0,1BEEFXORA,B洗手矩阵分析实验BEEF洗手（1）范数（NORM）BEEF洗手A1,2,3BEEF4,5,6BEEF7,8,9BEEF洗手NORMA,1洗手NORMA,2洗手（2）条件数（COND）BEEF洗手CONDA洗手（3）行列式（DET）BEEF洗手DETA洗手（4）秩（RANK）BEEF洗手RANKA洗手（5）特征值（EIG）BEEF洗手EIGA洗手V,DEIGA洗手（6）化零矩阵（NULL）洗手ZNULLA洗手（7）CHOLESKY分解（CHOL）洗手APASCAL3洗手APASCAL3BEEFCHOLA洗手（8）LU分解（LU）洗手A1,2,3BEEF4,5,6BEEF7,8,9BEEF洗手L1,U1LUA洗手（9）正交分解（QR）洗手A1,2,3BEEF4,5,6BEEF7,8,9BEEF洗手U,SQRA洗手（10）奇异值分解（SVD）BEEF洗手A1,2,3BEEF4,5,6BEEF7,8,9BEEF洗手U,S,VSVDA洗手数值计算实验BEEF洗手导数（DIFF）BEEF洗手AX34X2X20洗手DIFFA洗手梯度（GRADIENT）洗手A1,2,3BEEF4,5,6BEEF7,8,9BEEF洗手5FX,FYGRADIENTA洗手多项式求根（ROOTS）、BEEF洗手P1,3,2,5BEEFPXPOLY2STRP,XBEEFRROOTSP洗手/P是多项式的MATLAB描述方法，吃饭我们可用POLY2STRP,X函数，吃饭来显示多项式的形式，吃饭PXX33X22X5洗手零点（FZERO、BEEFFSOLVE）BEEF洗手AXX23X2BEEF洗手XFZEROA,0洗手XFSOLVEX23X2,0洗手极值（FMINBND、BEEFFMINSEARCH、BEEFFMINUNC）、BEEF洗手1；BEEFFXX24X5BEEFFMINBNDF,0,1洗手2；BEEFFUNINLINEX123X1X22X22BEEFX01,1BEEF洗手FMINSEARCHFUN,X0洗手3；BEEFFUNINLINEX123X1X22X22BEEFX01,1BEEF洗手FMINUNCFUN,X0洗手积分（QUADL）洗手用内联函数定义被积函数BEEF洗手FUNINLINEXX,XBEEF洗手YQUADLFUN,0,1洗手符号计算实验BEEF洗手（1）将化简BEEF先用SYMS定义符号变量，吃饭再用SIMPLIFYX2SINCO函数进行化简，吃饭具体命令如下BEEFSIMPLIFYCOSXSQRTSINX2洗手（2）求的解BEEF用SOLVE函数求解，吃饭命令如下BEEFXXSOLVEX2X2,X实验记录一、BEEF洗手1洗手TEST1234洗手洗手TEST洗手洗手1234洗手TEST1BEEF2BEEF3BEEF4洗手洗手TEST洗手洗手1洗手2洗手3洗手4洗手2洗手TEST10510洗手洗手6TEST洗手洗手COLUMNS1THROUGH4洗手洗手10000150002000025000洗手洗手COLUMNS5THROUGH8洗手洗手30000350004000045000洗手洗手COLUMNS9THROUGH12洗手洗手50000550006000065000洗手洗手COLUMNS13THROUGH16洗手洗手70000750008000085000洗手洗手COLUMNS17THROUGH19洗手洗手9000095000100000洗手3洗手TESTLINSPACE1,12,5洗手洗手TEST洗手洗手COLUMNS1THROUGH4洗手洗手10000375006500092500洗手洗手COLUMN5洗手洗手120000洗手4洗手LOGSPACE2,6,4洗手洗手ANS洗手洗手10E006洗手洗手00001000220046410000洗手二、BEEF洗手1直接输入法洗手A123BEEF456BEEF789洗手7洗手A洗手洗手123洗手456洗手789洗手2使用下标洗手CLEAR,A2,3,21洗手A,1洗手洗手000洗手000洗手A,2洗手洗手000洗手001洗手3使用低维数组洗手CLEAR,AEYE3,4BEEFA,2EYE3,42BEEFA,3EYE3,43BEEFA,4EYE3,44洗手洗手A,1洗手洗手1000洗手0100洗手0010洗手洗手洗手A,2洗手洗手2000洗手0200洗手0020洗手洗手洗手A,3洗手洗手3000洗手0300洗手0030洗手洗手洗手A,4洗手洗手4000洗手80400洗手0040洗手（4）使用创建函数（CAT、BEEFREPMAT、BEEFRESHAPE）创建高维数组。洗手洗手1，吃饭CAT3,1,2,3BEEF4,5,6,EYE2,32,ONES2,3洗手洗手ANS,1洗手洗手123洗手456洗手洗手洗手ANS,2洗手洗手200洗手020洗手洗手洗手ANS,3洗手洗手111洗手111洗手2，吃饭REPMAT1,2BEEF3,4,1,2,3洗手洗手ANS,1洗手洗手1212洗手3434洗手洗手洗手ANS,2洗手洗手1212洗手3434洗手洗手洗手ANS,3洗手洗手1212洗手3434洗手3，吃饭RESHAPE120,2,5,2洗手洗手ANS,1洗手洗手13579洗手9246810洗手洗手洗手ANS,2洗手洗手1113151719洗手1214161820洗手三、BEEF洗手1洗手ZEROS3洗手洗手ANS洗手洗手000洗手000洗手000洗手2洗手ONES5洗手洗手ANS洗手洗手11111洗手11111洗手11111洗手11111洗手11111洗手3洗手EYE4洗手洗手ANS洗手洗手1000洗手0100洗手0010洗手0001洗手4洗手MAGIC4洗手洗手ANS洗手洗手162313洗手511108洗手97612洗手414151洗手105洗手RANDN4洗手洗手ANS洗手洗手10668029440691814410洗手00593133620858005711洗手00956071431254003999洗手08323162361593706900洗手洗手四、BEEF洗手1洗手DATA1,2,3,4BEEF5,6,7,8BEEF9,10,11,12洗手洗手DATA洗手洗手1234洗手5678洗手9101112洗手洗手DIAGDATA洗手洗手ANS洗手洗手1洗手6洗手11洗手2洗手DATA洗手洗手ANS洗手洗手159洗手2610洗手3711洗手4812洗手3洗手FLIPLRDATA洗手洗手ANS洗手洗手4321洗手8765洗手1211109洗手114洗手FLIPUDDATA洗手洗手ANS洗手洗手9101112洗手5678洗手1234洗手5洗手ROT90DATA洗手洗手ANS洗手洗手4812洗手3711洗手2610洗手159洗手6洗手TRILDATA洗手洗手ANS洗手洗手1000洗手5600洗手910110洗手7洗手TRIUDATA洗手洗手ANS洗手洗手1234洗手0678洗手001112洗手五、BEEF洗手1洗手ARRSTR2MATI,AM,A,STUDENT洗手洗手ARR洗手洗手I洗手AM洗手A洗手STUDENT洗手2洗手12XANBEEFYABSX洗手洗手Y洗手洗手973211032洗手洗手ZDEBLANKXBEEFWABSZ洗手洗手W洗手洗手9732110洗手3洗手STR1IAMASTUDENTBEEF洗手STR2IAMASTUDENTBEEF洗手XSTRTRIMSTR1洗手洗手X洗手洗手IAMASTUDENT洗手洗手YSTRTRIMSTR2洗手洗手Y洗手洗手IAMASTUDENT洗手4洗手STR1IAMASTUDENTBEEF洗手STR2STUDENTBEEF洗手STR3TEACHERBEEF洗手STRSTRREPSTR1,STR2,STR3洗手洗手STR洗手洗手IAMATEACHER洗手5洗手洗手STRREAD0231,53F洗手洗手ANS洗手洗手02310洗手6洗手ARIAMASTUDENT洗手洗手13AR洗手洗手IAMASTUDENT洗手洗手STRTOKAR,S洗手洗手ANS洗手洗手IAMA洗手六；BEEF洗手1直接法洗手CLEARXBEEFXREAL12345BEEFXIMAGONES4洗手洗手X洗手洗手REAL12345洗手IMAG4X4DOUBLE洗手2STRUCT函数洗手SSTRUCTNAME,X,Y,ID,3,4,W,3,4洗手洗手S洗手洗手1X2STRUCTARRAYWITHFIELDS洗手NAME洗手ID洗手W洗手3FIELDNAMES功能演示洗手FIELDNAMESS洗手洗手ANS洗手洗手NAME洗手ID洗手W洗手4GETFIELD功能演示洗手STR1,1NAMEXBEEF洗手STR1,1ID5BEEF洗手STR2,1NAMEYBEEF洗手STR2,1ID3BEEF洗手RESULTGETFIELDSTR,2,1,NAME洗手洗手RESULT洗手洗手Y洗手145SETFIELD功能演示洗手STR1,1NAMEXBEEF洗手STR1,1ID5BEEF洗手STR2,1NAMEYBEEF洗手STR2,1ID3BEEF洗手STRSETFIELDSTR,2,1,NAME,ABEEF洗手STR2,1NAME洗手洗手ANS洗手洗手A洗手七BEEF洗手矩阵加洗手A1,2,3BEEF4,5,6BEEF7,8,9BEEF洗手B3,6,9BEEF1,2,3BEEF2,4,6BEEF洗手AB洗手洗手ANS洗手洗手4812洗手579洗手91215洗手2矩阵减洗手A1,2,3BEEF4,5,6BEEF7,8,9BEEF洗手B3,6,9BEEF1,2,3BEEF2,4,6BEEF洗手AB洗手洗手ANS洗手洗手246洗手333洗手543洗手（3）矩阵乘洗手A1,2,3BEEF4,5,6BEEF7,8,9BEEF洗手B3,6,9BEEF1,2,3BEEF2,4,6BEEF洗手AB洗手洗手ANS洗手洗手112233洗手295887洗手4794141洗手（4）数组乘洗手A1,2,3BEEF4,5,6BEEF7,8,9BEEF洗手15B3,6,9BEEF1,2,3BEEF2,4,6BEEF洗手AB洗手洗手ANS洗手洗手31227洗手41018洗手143254洗手（5）矩阵乘方洗手A1,2,3BEEF4,5,6BEEF7,8,9BEEF洗手A2洗手洗手ANS洗手洗手303642洗手668196洗手102126150洗手（6）数组乘方洗手A1,2,3BEEF4,5,6BEEF7,8,9BEEF洗手B3,6,9BEEF1,2,3BEEF2,4,6BEEF洗手AB洗手洗手ANS洗手洗手16419683洗手425216洗手494096531441洗手（7）矩阵左除洗手A1,2,3BEEF4,5,6BEEF7,8,9BEEF洗手B2BEEF4BEEF6BEEFAB洗手WARNINGMATRIXISCLOSETOSINGULARORBADLYSCALED洗手RESULTSMAYBEINACCURATERCOND2203039E018洗手洗手ANS洗手洗手04667洗手09335洗手01999洗手（8）矩阵右除洗手AONES3BEEF洗手B1,1,1BEEF洗手A/B洗手洗手ANS洗手16洗手1洗手1洗手1洗手（9）数组左除洗手A1,2,3BEEF4,5,6BEEF7,8,9BEEF洗手B3,6,9BEEF1,2,3BEEF2,4,6BEEF洗手AB洗手洗手ANS洗手洗手300003000030000洗手025000400005000洗手028570500006667洗手（10）数组右除洗手A1,2,3BEEF4,5,6BEEF7,8,9BEEF洗手B3,6,9BEEF1,2,3BEEF2,4,6BEEF洗手A/B洗手洗手ANS洗手洗手033330333303333洗手400002500020000洗手350002000015000洗手（11）克罗内克张量积洗手A1,0,1BEEF1,1,1BEEF1,0,1BEEF洗手B0,0,1BEEF1,0,1BEEF0,0,1BEEFKRONA,B洗手洗手ANS洗手洗手001000001洗手101000101洗手001000001洗手001001001洗手101101101洗手001001001洗手001000001洗手101000101洗手001000001洗手（12）逻辑与洗手A1,0,1BEEF1,1,1BEEF1,0,1BEEF洗手B0,0,1BEEF1,0,1BEEF0,0,1BEEFABEEF1,1,1BEEF1,0,1BEEF洗手B0,0,1BEEF1,0,1BEEF0,0,1BEEFA|B洗手洗手ANS洗手洗手101洗手111洗手101洗手（14）逻辑非洗手A1,0,1BEEF1,1,1BEEF1,0,1BEEF洗手A洗手洗手ANS洗手洗手010洗手000洗手010洗手（15）逻辑异或洗手A1,0,1BEEF1,1,1BEEF1,0,1BEEF洗手B0,0,1BEEF1,0,1BEEF0,0,1BEEFXORA,B洗手洗手ANS洗手洗手100洗手010洗手100洗手八、BEEF洗手（1）范数（NORM）用来度量矩阵或者向量在某种意义下的长度洗手A1,2,3BEEF4,5,6BEEF7,8,9BEEF洗手NORMA,1洗手洗手ANS洗手洗手18洗手洗手NORMA,2洗手洗手ANS洗手洗手18168481洗手（2）条件数（COND）可以描述矩阵为良性矩阵还是病态矩阵的一个参数洗手CONDA洗手洗手ANS洗手洗手50524E016洗手（3）行列式（DET）洗手DETA洗手洗手ANS洗手洗手0洗手（4）秩（RANK）洗手RANKA洗手洗手ANS洗手洗手2洗手（5）特征值（EIG）洗手EIGA洗手洗手ANS洗手洗手161168洗手11168洗手00000洗手V,DEIGA洗手洗手V洗手洗手023200785804082洗手052530086808165洗手081870612304082洗手洗手洗手D洗手洗手16116800洗手0111680洗手0000000洗手（6）化零矩阵（NULL）洗手ZNULLA洗手洗手19Z洗手洗手04082洗手08165洗手04082洗手（7）CHOLESKY分解（CHOL）把对称正定矩阵表示成上三角矩阵的转置与其本身的乘积洗手APASCAL3/PASCAL矩阵洗手洗手A洗手洗手111洗手123洗手136洗手洗手APASCAL3BEEFCHOLA洗手洗手ANS洗手洗手111洗手012洗手001洗手（8）LU分解（LU）洗手A1,2,3BEEF4,5,6BEEF7,8,9BEEF洗手L1,U1LUA洗手洗手L1洗手洗手01429100000洗手057140500010000洗手1000000洗手洗手洗手U1洗手洗手700008000090000洗手00857117143洗手0000000洗手（9）正交分解（QR）洗手A1,2,3BEEF4,5,6BEEF7,8,9BEEF洗手U,SQRA洗手洗手U洗手洗手20012310904504082洗手049240301508165洗手086160301504082洗手洗手洗手S洗手洗手8124096011110782洗手00904518091洗手0000000洗手（10）奇异值分解（SVD）洗手A1,2,3BEEF4,5,6BEEF7,8,9BEEF洗手U,S,VSVDA洗手洗手U洗手洗手021480887204082洗手052060249608165洗手082630387904082洗手洗手洗手S洗手洗手16848100洗手0106840洗手0000000洗手洗手洗手V洗手洗手047970776704082洗手057240075708165洗手066510625304082洗手九洗手1导数洗手AX34X2X20洗手洗手A洗手洗手X34X2X20洗手洗手DIFFA洗手洗手ANS洗手21洗手3X28X1洗手洗手洗手DIFFA,2洗手洗手ANS洗手洗手6X8洗手2梯度洗手A1,2,3BEEF4,5,6BEEF7,8,9BEEF洗手FX,FYGRADIENTA洗手洗手FX洗手洗手111洗手111洗手111洗手洗手洗手FY洗手洗手333洗手333洗手333洗手（3）多项式求根洗手P1,3,2,5BEEFPXPOLY2STRP,XBEEFRROOTSP洗手/P是多项式的MATLAB描述方法，吃饭我们可用POLY2STRP,X函数，吃饭来显示多项式的形式，吃饭PXX33X22X5洗手R洗手洗手2303/793洗手205/4278851/649I洗手205/4278851/649I洗手（4）零点洗手AXX23X2BEEF洗手XFZEROA,0洗手洗手X洗手洗手1洗手洗手XFSOLVEX23X2,0洗手OPTIMIZATIONTERMINATEDFIRSTORDEROPTIMALITYISLESSTHANOPTIONSTOLFUN洗手22洗手X洗手洗手1洗手（5）极值洗手1；BEEFFXX24X5BEEF洗手FMINBNDF,0,1洗手洗手ANS洗手洗手09999洗手2；BEEF洗手FUNINLINEX123X1X22X22BEEFX01,1BEEF洗手FMINSEARCHFUN,X0洗手EXITINGMAXIMUMNUMBEROFFUNCTIONEVALUATIONSHASBEENEXCEEDED洗手INCREASEMAXFUNEVALSOPTION洗手CURRENTFUNCTIONVALUE448408571070688420000000000000000000000000000000000000000000000000000000000000000000000