matrices 中文意思是什麼

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。

This combination process is called the assemblage of stiffness matrices.

這種組合的過程稱為剛度矩陣的裝配。

And also we characterize the linear operators that strongly preserve commuting pairs of matrices over boolean algebras

同時也刻畫了布爾代數上強保持交換矩陣對的線性運算元

Braces are used for the column matrices.

大括號用於列矩陣。

On the canonical forms for matrices over real numbers

關于實數域上矩陣的相似標準形

Scalar formulas do carry over for these matrices.

對于這些矩陣，數量間一些公式確實保留下來。

Three stages of deformation can be distinguished from the cataclastic superposition of matrices that infilled the microcracks in cataclastic rocks, and two phas es of paleotectonic stress field from the typical conjugated shear joints by stereograms illustrating

構造巖中膠結物和微裂隙充填脈反映了巖石碎裂變形的三次疊加。斷裂變形帶內發育兩期典型的共軛剪節理，但區域分佈各有特點，反映出斷裂變形的空間演化。

On idempotent and nilpotent matrices over commutative rings

關于交換環上的冪等陣與冪零陣

General form of the change of matrix in congruent matrices

關于合同變換矩陣的一般形式

Conditions on generating contractive semigroups for birth - death matrices

生滅矩陣生成壓縮半群的條件

Conditions on generating contractive semigroups for birth - death matrices on c

0空間上生滅矩陣生成半群的條件

Fittings of systematic errors and covariance matrices in navigation

精密定位的觀測值隨機模型

It is important to distinguish matrices from determinants.

將矩陣與行列式相區分是重要的。

New practical determinate conditions for nonsingular h - matrices

矩陣的實用性新判定

A new type of determinate conditions for nonsingular h - matrices

矩陣一類新的實用性判據

On eigenvectors of matrices over distributive lattices

分配格上矩陣的特徵向量

Note of divisibility of determinants of quadratic matrices on gcd - closed sets

關于最大公因數閉集上平方矩陣的行列式整除性的注記

On dx - generalized positive definite matrices

廣義正定矩陣

On the matrices with entries in a pseudo - euclidean ring

關于偽歐氏環上的矩陣

Considering the eigen - equations belong to redundance equations because the measured eigen - pairs are less than the orders of model, in order to solving the ones and get the modification matrices of mass and stiffness, the excrescent variables are given randomly

為了求解超越方程以確定質量與剛度修正矩陣，提出隨機給定超越方程中的多餘變量值，採用遺傳演算法來尋優。