singular subspace

We present a relative perturbation bound of singular subspaces for the Wedin\'s sin θ type bound.

给出了奇异子空间Wledin sin θ型定理的一个相对扰动界;另外,通过使用不同的相对分离度给出左、右奇异子空间各自的扰动界,改进了以往相应的结果。

Let F(n)q be the n-dimensional orthogonal space over the finite field Fq and let P be the m-dimensional totally singularity subspace in F(n)q.

设Fq(n)是Fq上的n维正交空间,设P是任一个给定的m维全奇异子空间。

The double gaps are used to present new perturbation bounds and the condition numbers for left and right singular subspaces under the Frobenius norm.

使用双分离度获得左右奇异子空间在Froben ius范数下的一些新的扰动界和条件数,其中左右奇异子空间独立的扰动界始终不会超过联合的扰动界。

The spectrums of the ultrashort pulsed unchirped and chirped cosine-Gaussian beams are given,which draws a conclusion that the broad spectrum width is the original reason for the spatial singularity.

结果表明不同脉冲宽度的无啁啾余弦高斯脉冲光束的频谱以及相同脉冲宽度下啁啾余弦高斯脉冲光束的频谱有着很大不同,直观地看出了脉冲宽度和啁啾对超短余弦高斯脉冲光束频谱宽度的影响,说明了频谱宽度对超短余弦高斯脉冲光束空间奇异性有很大的影响。

The paper discusses the spatial singularity of the ultrashort pulsed beams in theory by use of the simulation.

利用理论推导和数值模拟的方法对超短脉冲光束的空间奇异性问题进行了较为深入的研究,给出了超短脉冲光束是否需要使用复解析信号理论的条件,并通过对超短高斯脉冲光束的频谱分析,直观形象地看到了空间奇异性产生的根源,还对比了超短无啁啾和啁啾高斯脉冲光束的频谱差异,说明了超短脉冲光束的空间奇异性主要是由频谱宽度引起的。

Singularity and Properly Posed Interpolation Problems of Some Spline Spaces;

某些样条空间奇异性和插值适定性问题研究

Existence of Solutions for Singular Differential Equations in Banach Spaces;

Banach空间奇异微分方程解的存在性

The Boundedness of Bilinear Commutators of Singular Integral Operators on Spaces of Homogeneous Type

齐型空间上奇异积分双线性交换子的有界性

Existence of Positive Solutions of Singular m-Point Boundary Value Problems in Banach Space;

Banach空间中奇异m-点边值问题正解的存在性

State-space Measures for Stability Robustness for 2-D SRM;

2-D奇异系统鲁棒稳定性的状态空间测度

Solving Nonlinear Singular Two-point Boundary-value Problem in the Reproducing Kernel Space

在再生核空间中求解非线性奇异两点边值问题

Existence of Positive Solution for Singular Second-order m-point Boundary Value Problems in Banach Spaces

Banach空间奇异二阶多点边值问题正解的存在性

The Boundedness of Commutators Generated by Singular Integral Operators in Weighted Lebesgue Spaces with Variable Exponent

奇异积分交换子在变量Lebesgue空间中的有界性

Boundedness for commutators of strongly singular Calderón-Zygmund operators on weighted hardy-type spaces

强奇异积分交换子在加权Hardy型空间上的有界性

Positive Solutions to Boundary Value Problems for Second-order Nonlinear Singular Differential Equations in Abstract Space

抽象空间中二阶非线性奇异边值问题的正解

Boundedness of θ(t)-type Singular Integral Operators in the Anisotropic Hardy Space

θ(t)型奇异积分算子在各向异性Hardy空间的有界性

L～P Estimates for Rough Singular Integrals Associated to Some Hypersurfaces in the Mixed Homogeneity Space;

混合齐性空间中含粗糙核奇异积分沿超曲面的L～p有界性

WEIGHTED BOUNDEDNESS OF BILINEAR C-Z SINGULAR INTEGRAL OPERATORS ON SPACE OF HOMOGENEOUS TYPE

齐型空间上双线性C-Z奇异积分算子的加权有界性

Research of the Singularity and Workspace of 6-SPS Parallel Robot;

6-SPS型并联机器人的工作空间分析及奇异性研究

Spatial Variability of Soil Characterization and Reversal Evolvement of Soil Salinization in Qitai Oasis;

新疆奇台县绿洲土壤特性空间变异及盐渍化逆向演替研究

Workspace and Singularity-An Analysis on Novel Type 3-P//R⊥4r⊥R Parallel Mechanisms with Three Translations;

3-P//R⊥4r⊥R新型三维平移并联机构的工作空间及奇异性分析

Multi-component Chirp Signal Separating and Enhancing Based on SVD of Time-Frequency Space

基于时频空间奇异值分解的多分量线性调频信号分离与增强

BOUNDEDNESS OF THE OSCILLATORY SINGULAR INTEGRAL OPERATOR WITH DINI KERNEL ON WEIGHTED HARDY SPACE

带Dini核的振荡奇异积分在加权Hardy空间上的有界性