查询词典 sparse matrix

In this paper, we first introduce the concepts and structures of generalized per-symmetric matrix, generalized centro-symmetric matrix or generalized bisymmetric matrix.

本文介绍了广义广对称矩阵、广义中心对称矩阵以及广义双对称矩阵的概念及结构，研究了这些特殊矩阵集合中，矩阵方程AXB=C及矩阵方程组A_1XB_1=C_1，A_2XB_2=C_2的迭代解法，同时考虑了相应的最佳逼近问题。

For any initial generalized bisymmetric matrix $X_1$, when $AXB=C$ is consistent, we can obtain the generalized bisymmetric solution of the matrix equation AXB=C within finite iterative steps by the iteration method in the absence of roundoff errors; Moreover, the least-norm solution $X^*$ can be obtained by choosing a special kind of initial generalized bisymmetric matrix.

在不考虑机器误差的情况下，当矩阵方程AXB=C相容时，对任意广义双对称X_1，矩阵方程AXB=C的解可以经过有限步迭代得到；特别地，通过选择特殊地初始广义双对称矩阵极小范数解X^*。

This thesis focuses on studying the matrix equa-tion problem systematically, and proposed an abstract algorithm of solving the matrixequation with constraints, and established a strict convergence theory. Using this algo-rithm, we can solve the sets of matrix equation satisfying some constraint conditions,such as symmetric, antisymmetric, centrosymmetric, centroskew symmetric, re?exive,antire?exive, bisymmetric, symmetric and antipersymmetric, symmetric orthogonalsymmetric, symmetric orthogonal antisymmetric, Hermite generalized Hamilton ma-trix;So we can solve the problem with this algorithm, if the set of constrain matrixcan make a subspace in matrix space, and this algorithm also can solve the optimalapproximation and least squares problem. So this abstract algorithm has universal andimportant practical value.

本篇硕士论文系统地研究了此类问题，并找到了求解约束矩阵问题的抽象算法，并建立严格的收敛性理论，利用这一算法可求解约束条件为对称矩阵、反对称矩阵、中心对称矩阵、中心反对称矩阵、自反矩阵、反自反矩阵，对称正交对称矩阵、对称正交反对称矩阵、双中心矩阵、Hermite广义Hamilton矩阵等；可以说只要约束矩阵集合在矩阵空间中构成子空间，都可以考虑用此算法求解，而且这一算法还能把矩阵方程解及其最佳逼近，最小二乘解及其最佳逼近统一处理，因此本文算法有普适性和重要的实用价值。

Discussed element of the matrix in alloy of nickel radical high temperature through the experiment, advocate quantity element if the chromium, cobalt, tungsten, molybdenum, Tantalum, niobium, rhenium spectrum to spectral line of boracic ultimate analysis violates a condition, use matrix to match a law to undertake to matrix interference corrective, fixed appropriate analytic spectral line.

通过试验探索了镍基高温合金中基体元素，主量元素如铬、钴、钨、钼、钽、铌、铼等对硼元素分析谱线的光谱干扰情况，采用基体匹配法对基体干扰进行校正，确定了合适的分析谱线。

In this paper, an iterative algorithm is proposed to find the generalized centrosymmetric solution pair of matrix equation AXA~T+BYB~T=C. The solvability of the matrix equation can be determined automatically in the iterative process. When the matrix equation is consistent, the solution pair can be obtained within finite steps in the absence of round-off errors.

该论文运用迭代方法研究了矩阵方程的一般中心对称解解，特别地，当矩阵方程是相容的时，经过有限步就能求出该方程的一般中心对称解解，然后以此为主要依据进一步研究了矩阵方程的最优近似解，最后举例验证了该论文的主要结论。

When the matrix equation is consistent, its centrosymmetric solution can be obtained within finite iterative steps in the absence of round off errors for any initial centrosymmetric matrix X1, and its least-norm centrosymmetric solution can be derived by choosing a suitable initial iterative matrix.

当矩阵方程AXB+CXD=F有中心对称解时，在有限的误差范围内，对任意初始中心对称矩阵X1，运用迭代算法，经过有限步可得到矩阵方程的中心对称解；选取合适的初始迭代矩阵，还可以迭代出极小范数中心对称解。

CD34 hematopoietic stem/progenitor cells reside in the bone marrow in close proximity to the endosteal bone surface, surrounded by osteoblasts, stromal cells, and various extracellular matrix molecules. We used a bioartificial matrix of fibrillar collagen I, the major matrix component of bone, as a scaffold for ex vivo expansion of HSCs.

CD34 的造血干细胞/祖细胞存在于接近骨内膜表面的骨髓中，由成骨细胞、间充质细胞以及各种细胞外基质分子所包绕，我们采用生物人工合成的纤维胶原I

CD34+ hematopoietic stem/progenitor cells reside in the bone marrow in close proximity to the endosteal bone surface, surrounded by osteoblasts, stromal cells, and arious extracellular matrix molecules. We used a bioartificial matrix of fibrillar collagen I, the major matrix component of bone, as a scaffold for ex io expansion of HSCs.

CD34+的造血干细胞/祖细胞存在于接近骨内膜表面的骨髓中，由成骨细胞、间充质细胞以及各种细胞外基质分子所包绕，我们采用生物人工合成的纤维胶原I

The effects of α-Al2O3 micro-powder and nano-powder additions on matrix rheologic behavior were studied. The optimum matrix granulometric composition was obtained based on the investigation of matrix rheologic behavior and the properties of α-Al2O3 nano-powder composite high purity corundum brick.

研究了α-Al2O3纳米复合高纯刚玉砖基质中的微粉、α-Al2O3纳米粉的加入量对基质流变性的影响，结合试样的烧后性能确定其基质的最佳颗粒组成。

In random information systems,based on the indiscernibility relation,the concept of in discernibility attribute matrix is proposed and the relationship between discernibility attribute matrix and in discernibility attribute matrix is shown.

在随机信息系统中，根据不可辨识关系，提出了不可辨识属性矩阵的概念，证明了不可辨识属性矩阵与可辨识属性矩阵的关系，最后提出了一种基于不可辨识属性矩阵约简算法。

What was it that made you want to change sider ?

是什么使你临阵倒戈？

I don't know what he wants, but let's play along with him.

我不知道他要干什么，可我