augmented matrix 中文意思是什麼
augmented matrix
解釋
增廣矩陣-
In this thesis, we study some open problems and conjectures about the linear complementarity problem. it consists of the next three aspects : firstly, we study murthys " open problem whether the augmented matrix is a q0 - matrix for an arbitary square matrix a, provide an affirmable answer to this problem, obtain the augmented matrix of a sufficient matrix is a sufficient matrix and prove the graves algorithm can be used to solve linear complementarity problem with bisymmetry po - matrices ; secondly, we study murthys " conjecture about positive semidefinite matrices and provide some sufficient conditions such that a matrix is a positive semidefinite matrix, we also study pang ' s conjecture, obtain two conditions when r0 - matrices and q - matrices are equivelent and some properties about e0 q - matrices ; lastly, we give a counterexample to prove danao ' s conjecture that if a is a po - matrix, a e " a p1 * is false, point out some mistakes of murthys in [ 20 ], obtain when n = 2 or 3, a e " a p1 *, i. e. the condition of theorem 3. 2 of [ 25 ] that a p0 can be deleted and obtain a e " a is an almost e - matrix if a is a co - matrix or column sufficient matrix
本文分為三個部分,主要研究了線性互補問題的幾個相關的公開問題以及猜想: ( 1 )研究了murthy等在[ 2 ]中提出的公開問題,即對任意的矩陣a ,其擴充矩陣是否為q _ 0 -矩陣,給出了肯定的回答,得到充分矩陣的擴充矩陣是充分矩陣,並討論了graves演算法,證明了若a是雙對稱的p _ 0 -矩陣時, lcp ( q , a )可由graves演算法給出; ( 2 )研究了murthy等在[ 6 ]中提出關於半正定矩陣的猜想,給出了半正定矩陣的一些充分條件,並研究了pang ~ -猜想,得到了只r _ 0 -矩陣與q -矩陣的二個等價條件,以及e _ 0 q -矩陣的一些性質; ( 3 )研究了danao在[ 25 ]中提出的danao猜想,即,若a為p _ 0 -矩陣,則,我們給出了反例證明了此猜想當n 4時不成立,指出了murthy等在[ 20 ]中的一些錯誤,得到n = 2 , 3時,即[ 25 ]中定理3 . 2中a p _ 0的條件可以去掉。 -
Using demineralized bone matrix board augmented with bone proteins to repair segmental bone defect of diaphysis in canine
骨蛋白強化脫鈣骨基質板塊修復犬長骨節段性骨缺損 -
The results of numerical simulations and analytical solution show good accordance, except in the region near the fiber ends, where the shear - lag approach causes considerable discrepancy. next, to overcome the unrealistic assumption of perfect bonding, augmented - lagrange contact algorithm, element " birth - death " and fem are combined in the study of the partial debonding between fiber and matrix under pull out forces
然而完全粘結的假設過于理想,與實際應用相差較大,因此,本論文將有限元法,接觸演算法和單元生死法結合起來,研究較大抽拔力作用下,纖維與基體之間發生的逐步脫粘的過程,所得到的抽拔力的變化結果,與試驗數據比較,較為一致。 -
Precise time - integration method with augmented matrix for analysis of non - stationary random responses
線性隨機結構的平穩隨機響應 -
The random excitations are transformed into pseudo excitations expressed in the state equations before the resulting deterministic equations of motion are solved by the proposed precise time - integration scheme with augmented matrix and in unified form
先用虛擬激勵法將隨機荷載化為確定性荷載,然後把確定性荷載用狀態方程表示,進而構造出形式統一的增維精細時程積分格式。
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