expanding the system's hamiltonian to a real symmetric matrix in an appropriate orthogonal basis vector and then diagonalizing it, we get the energy spectrum of the system and calculate the energy level spacing distribution function and the spectral rigidity . then we study the statistical character of the energy spectrum under the changing of magnetic field intension and find that the system's motion transfers from regular to chaos gradually 將系統(tǒng)的哈密頓量在一個適當?shù)恼换赶抡归_并對角化,得到系統(tǒng)的能譜,分別計算系統(tǒng)能譜的能級間距分布函數(shù)和譜剛度,研究了該系統(tǒng)量子能譜的統(tǒng)計特征隨磁感應強度大小的改變而表現(xiàn)出的系統(tǒng)運動由規(guī)則到混沌的漸進變化。
(3 ) the re-orthonormalization technique is used to solve the loss of orthonormality of basis vector during the classical gmres method solving large-scale three dimensional elasto-static be problems . based on the characteristic of fundamental solution and the coefficient matrix, several precondition methods are studied . by using the technique of re-orthonoramalization and precondition, the practical gmres method is developed based on the classical one (3)采用重正交技術解決了經典gmres方法在求解大型三維彈性靜力邊界元問題過程中出現(xiàn)的基向量正交性喪失的問題;結合邊界元基本解和系數(shù)矩陣的特點以及并行化的要求,研究了幾種預條件技術;并以重正交技術和預條件技術實現(xiàn)了經典gmres的實用化。
different from other rank reduction methods, such as pca ( principal component analysis ) and vq ( vector quantization ), nmf ( nonnegative matrix factorization ) can get nonnegative, sparse basis vectors which make possible of the concept of a parts-based representation 與pca(主分量分析)和vq(矢量量化)等降維算法不同,nmf(非負矩陣分解)算法能夠分解出非負的,稀疏的特征矩陣和編碼矩陣,能夠提取原始數(shù)據(jù)向量的局部特征,使基于局部特征進行分類的聚類算法更容易實現(xiàn)。