Matlab優(yōu)化設(shè)計(jì)及其應(yīng)用

第1章緒論1 \n
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1-1最優(yōu)化問(wèn)題的提出1 \n
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1-2最優(yōu)化問(wèn)題的分類3 \n
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1-3優(yōu)化模型的圖形表示4 \n
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第2章線性規(guī)劃9 \n
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2-1線性規(guī)劃的標(biāo)準(zhǔn)形式9 \n
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2-2單純形法10 \n
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2-3單純形法的Matlab程序及實(shí)例18 \n
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第3章一維搜索方法21 \n
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3-1黃金分割法21 \n
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3-2拉格朗日插值多項(xiàng)式24 \n
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3-3插值與擬合的其他方法30 \n
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3-4一元及多元非線性方程求根33 \n
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第4章無(wú)約束優(yōu)化問(wèn)題的導(dǎo)數(shù)解法38 \n
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4-1最速下降法38 \n
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4-2牛頓法42 \n
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4-3共軛梯度法45 \n
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4-4變尺度法51 \n
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第5章無(wú)約束優(yōu)化問(wèn)題的直接解法59 \n
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5-1坐標(biāo)輪換法59 \n
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5-2單形替換法63 \n
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5-3鮑威爾法70 \n
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5-4鮑威爾方法的Matlab程序及實(shí)例74 \n
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第6章約束優(yōu)化問(wèn)題的直接解法77 \n
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6-1隨機(jī)方向法77 \n
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6-2復(fù)合形法81 \n
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6-3可行方向法88 \n
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第7章約束優(yōu)化問(wèn)題的間接解法100 \n
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7-1罰函數(shù)法100 \n
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7-2增廣乘子法106 \n
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第8章多目標(biāo)函數(shù)優(yōu)化設(shè)計(jì)115 \n
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8-1多目標(biāo)優(yōu)化問(wèn)題115 \n
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8-2多目標(biāo)優(yōu)化問(wèn)題的求解方法117 \n
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第9章Matlab優(yōu)化工具箱簡(jiǎn)介120 \n
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9-1Matlab常用內(nèi)部數(shù)學(xué)函數(shù)120 \n
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9-2Matlab優(yōu)化工具箱的主要函數(shù)121 \n
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9-3線性規(guī)劃問(wèn)題123 \n
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9-4一元和多元函數(shù)優(yōu)化問(wèn)題125 \n
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9-5“半無(wú)限”約束多元函數(shù)優(yōu)化問(wèn)題129 \n
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9-6多目標(biāo)優(yōu)化問(wèn)題131 \n
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9-7最小二乘法在優(yōu)化及數(shù)據(jù)擬合中的應(yīng)用140 \n
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9-8非線性方程（組）求解144 \n
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第10章工程優(yōu)化設(shè)計(jì)及應(yīng)用實(shí)例149 \n
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10-1槽式太陽(yáng)能集熱器傳熱模型及性能分析149 \n
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10-2換熱器的優(yōu)化設(shè)計(jì)157 \n
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10-3凸輪優(yōu)化設(shè)計(jì)161 \n
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10-4軸的優(yōu)化設(shè)計(jì)165 \n
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10-5非線性模型參數(shù)估計(jì)的優(yōu)化計(jì)算168 \n
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10-6基于優(yōu)化方法的常微分方程邊值問(wèn)題數(shù)值解169 \n
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參考文獻(xiàn)181