數(shù)學(xué)與應(yīng)用數(shù)學(xué)畢業(yè)論文-求方程的近似解方法及比較分析-文庫(kù)吧資料
2024-09-10 11:41本頁(yè)面
【正文】 終獲得滿足精度要求的方程組的近似解。 對(duì)于難點(diǎn)問(wèn)題從具體模型引入，淡化抽象的概念與定理，通俗易通； 對(duì)于具體模型本 文給出了多種解題的思想及方法； 對(duì)問(wèn)題進(jìn)行簡(jiǎn)潔易懂的理論證明，突出了線性代數(shù)的理論和基本思想，使數(shù)學(xué)方法更加利于理解掌握。偏微分方程邊值問(wèn)題等都導(dǎo)致求解線性代數(shù)方程組，二這些方程組的系數(shù)矩陣大致分為兩種，一種是低階稠密矩陣（例如，階數(shù)不超過(guò) 150）， 本文的編寫(xiě)由以下幾個(gè)特點(diǎn)： 另一種是大型稀疏矩陣（即矩陣階數(shù)高且零元素較多的）。 關(guān)鍵詞 ： 線性代數(shù) 方程 組、迭代法、 LU 分解法、高斯 消去法、 列主元消去法、不同點(diǎn)、比 較 3 The approximate solution method for equation and parative analysis Jian bin sun (School of Mathematical science, Huaibei Normal Univercity, Huaibei, 235000) Abstract At present in many practical applications fields, such as aerospace, shipbuilding and other structure engineering, often meet to solve largescale linear algebra equations. This paper based on linear algebra equations Jacobi iterative method, LU deposition method and gaussian listed the primary elimination technique three method are pared, and easy to apply in real life in better to make a choice. In the second chapter of this paper introduces the linear algebra equations of three kinds of solution and the theoretical knowledge of that process. In order to more clear show three methods of differences and their respective superiority, the paper in the third chapter gives an example, through the examples of calculation and program implementation, bined with 3 kinds And the advantages and disadvantages of the methods are pared. Key words ： Linear algebra equations, iterative method, LU deposition method, the gaussian elimination method, and all the primary elimination method, the differences, the parison 4 目 錄 第一章、 引 言 ...................................................................................................4 第二章、 求解線性方程組的基本理論 、迭 代 法 .........................................................................................
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