查询词典 sparse matrix

It is proved that if'sparse NP complete sets under polynomial-time Turing reductions exist'then 'SAT is polynomial-time non-adaptively search reducible to decision', and that if 'P is not equal to NP'then either'SAT is not polynomial-time non-adaptively search reducible to decision'or'SAT is not polynomial-time truth-table reducible to bounded approximable sets', and that if'P is not equal to NP'then'sparse complete sets for NP under polynomial-time disjunctive reductions do not exist'.

因为用现有的证明技术不可能绝对地解决这个假设，本文研究了这个假设与其他关于SAT结构性质的假设之间的关系，证明了如果'NP有多项式时间图灵归约下的稀疏完全集'则'SAT是多项式时间并行地搜索归约为判定'，以及如果假设'P不等于NP'，则要么'SAT不是多项式时间并行地搜索归约为判定'，要么'SAT不能用多项式时间真值表归约归约为有界可近似集'。

Under this situation, sparse signal expansion theories, a kind of new multiscale analysis theory that has been developed in recent years, possess a better performance in detecting the singularities of the signal with straight line or curve in high dimensional space and can be used to express signals with sparse coefficients.

而稀疏信号表示理论是近几年发展起来的一类新的多尺度分析方法，它们对高维空间中具有直线或曲线奇异性信号具有良好的检测性能，可以用稀疏的系数来表示原信号。

The parallel computing of the preconditioner is the bottleneck for the parallel computing of Krylov Subspace Methods. Based on norm-minimization technique, a parallel sparse approximate inverse preconditioning method is present for the unsymmetric sparse linear systems.

7预条件子的并行计算是利用Krylov子空间方法进行并行计算的瓶颈，我们利用矩阵的Frobenius范数，提出了一种构造一般非对称稀疏线性方程组预条件子的PPAT方法，该方法具有天然的并行性。

It was proposed that a robust and efficient parallelizable preconditioner for solving general sparse linear systems of equations, in which the use of sparse approximate inverse techniques in a multi-level block ILU preconditioner wereinvestigated.

设计了一种求解一般稀疏线性方程组的健壮且有效的可并行化预条件子，这种预条件子涉及在多层块ILU预条件子中使用稀疏近似逆技术。

Branchlets with sparse woolly tomentum; abaxial veins of leaves with white hairs and with sparse arachnoid tomentum.

有稀少似羊毛的绒毛层的小枝；叶背面脉具白色的毛和具具稀疏蛛丝状毛。

Leaves adaxially with sparse arachnoid tomentum when young, then glabrescent; branchlets and inflorescence axis with sparse arachnoid tomentum.

幼时的正面的叶具具稀疏蛛丝状毛，后脱落有具稀疏蛛丝状毛的小枝和花序轴。 32 V。 bellula 美丽葡萄

The "compressed sparse row data format" is adopted to save storage and the "mode multiplication" is used to improve the computation efficiency, so that the finite integration equation is obtained with low storage and high efficiency. To solve the finite integration equation, which is a large-scale sparse algebraic eigenvalue problem under the condition specified, the Krylov subspace iteration method is introduced and the shift-invert Arnoldi method is proposed to exclude the unphysical static electro-magnetic solution and get the needed eigensolution around the specified eigenvalue.

采用"行索引稀疏格式"压缩存贮技术节约内存，采用大型稀疏矩阵的模式乘法，提高矩阵计算效率，高效获得了离散电场分量满足的有限积分方程；针对有限积分特征方程的求解，论文介绍了大型稀疏矩阵Krylov子空间迭代方法，并提出了位移求逆Arnoldi算法，以排除非物理的静态电磁场解，获得指定频率附近的特征值。

The performances of the proposed method are comparable with those of the matching pursuit. And the speed for image sparse decomposition is greatly improved. It will be help to the research of applications based on overcomplete sparse representation.

该算法在保证稀疏分解性能的同时，极大地提高了稀疏分解的速度，为基于超完备图像稀疏表示的实际应用奠定了基础。

Overcomplete sparse representation can obtain the sparsest possible representation of the object and a resolution of sparse objects that is much higher-resolution than that possible with traditional non-adaptive approaches.

超完备稀疏表示能够获得最可能稀疏的图像表示，能获取比传统的非自适应方法更高分辨率的信息。

In this paper, in order to reduce algorithm's complexity we develop a novel method of obtaining very sparse representation of KDE exploiting Sparse Bayesian Regression technique with the assistance of regularization by jittering.

为了加快KDE的计算速度，简化模型的复杂度，提出了一种新型的基于稀疏贝叶斯回归的快速的KDE的计算模型，该模型用经过人工加噪处理过的分布函数逼近数据作为输入数据，获得了KDE的极为稀疏的表示。

"Second Life is remarkably easy to work with, and is very popular,"

"第二次生命是显着容易的工作，并且很受欢迎，"

For example, we usually assume that materials are homogeneous and isotropic and free of internal defects or flaws.

为了得到适合有限元分析的模型，我们必须经过如图2所示的简化步骤。