infinite system of linear equations 中文意思是什麼
infinite system of linear equations
解釋
無窮線性方程組-
Since the linear or nonlinear electromagnetic field equations can be written as an infinite - dimensional hamiltonian system, whose solution can be viewed as a hamiltonian flow in the phase space which preserves the symplectic structure in the time direction. such important features should not be neglected during the construction of numerical methods for the field equations
由於線性或非線性的電磁場方程可以轉化成無限維的hamilton系統,其結果可以看作是定義在相空間里的時間上保持辛結構的hamilton流,因而在對場方程構造數值演算法時就不應忽略這樣重要的性質。 -
In chapter 3, we give an equivalent form of semi - infinite programming, and a locally convergent ssle method is proposed for sip. we only need solve a linear system equations and a subproblem with a parameter per step, also a modified algorithm which saves cost of computations is given, at the end of the paper, we give a proof of the convergence for the algorithms
第三章通過適當的變形,得到半無限規劃問題的一個等價形式,並給出一個局部收斂的序列線性方程組演算法,這個演算法在每一步,只需求解一個線性方程組和一個帶參數的非線性子問題,證明了演算法的收斂性,同時,給出了一個修正演算法,與前面演算法相比較,修正演算法節約一定的計算量,同樣具有較好的收斂性。
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