搜索结果: 91-105 共查到“知识库 线性代数”相关记录652条 . 查询时间(1.734 秒)
Hierarchical Abstraction of Phase Response Curves of Synchronized Systems of Coupled Oscillators
Coupled Oscillators Response Curves Synchronized Systems
2011/7/6
We prove that a group of injection-locked oscillators, each
modelled using a nonlinear phase macromodel, responds as a single
oscillator to small external perturbations. More precisely, we show that...
Nonlocality-induced front interaction enhancement
nonlocal coupling spatial dynamics quantitative Nonlocality-induced
2011/7/6
We demonstrate that nonlocal coupling strongly influences the dynamics of fronts connecting
two equivalent states. In two prototype models we observe a large amplification in the interaction
strengt...
Local Gram-Schmidt and Covariant Lyapunov Vectors and Exponents for Three Harmonic Oscillator Problems
Lyapunov Instability Covariant Lyapunov Spectrum Gram-Schmidt Orthonormalization
2011/7/6
We compare the Gram-Schmidt and covariant phase-space-basis-vector descriptions for three
time-reversible harmonic oscillator problems, in two, three, and four phase-space dimensions re-
spectively....
Dynamical light control in longitudinally modulated segmented waveguide arrays
ongitudinally modulated segmented waveguide arrays Dynamical light
2011/7/7
We address light propagation in segmented waveguide arrays where the refractive index is longitudinally modulated with an out-of-phase modulation in adjacent waveguides, so that the coupling strength ...
Clifford分析中k正则函数的线性边值问题
Clifford分析 k正则函数 线性边值问题
2012/11/13
利用积分方程的方法和压缩映射原理研究Clifford分析中k正则函数的线性边值问题, 证明了解的存在性和唯一性, 得到了解的积分表达式。
针对一类具有范数有界不确定性和多状态滞后的广义系统, 基于线性矩阵不等式方法, 研究状态矩阵、 状态时滞矩阵和控制器都存在摄动时的非脆弱H∞保性能控制问题, 得到了广义闭环系统渐近稳定且具有H∞范数界γ的时滞相关充分条件, 给出了无记忆非脆弱H∞保性能控制器的设计方法, 并用数值例子表明了该方法的有效性。
非线性优化的广义投影变尺度算法及超线性收敛性
约束优化 广义投影变尺度 全局收敛性 超线性收敛性
2012/11/13
结合罚函数法的思想, 提出一种初始点任意的广义投影变尺度算法求解非线性等式和不等式约束优化问题, 克服了Maratos效应的校正方向自动产生显式表达式, 并在适当的条件下证明了算法是全局收敛的, 且具有超线性收敛性. 实验结果表明算法有效。
求解最小体积轴向椭球问题的线性收敛算法
最小体积轴向椭球 最优性条件 近似算法 线性收敛
2012/11/14
通过定义求解最小体积轴向椭球问题的两个近似最优性条件, 计算满足第二个近似最优性条件的一个新的近似解, 给出一种求解最小体积轴向椭球问题的近似算法, 并证明了算法具有线性收敛性. 实验结果证实了算法的有效性。
Ordinal Discriminant Analysis: A new approach to the construction of optimal linear scores for ordinal risk categories
construction optimal linear scores ordinal risk categories
2011/3/4
Most classification methods provide either a prediction of group membership or an assessment of class membership probability. In the case of two-group classifica-tion the predicted probability can be ...
线性流形上W准反对称矩阵反问题的最小二乘解
W准反对称矩阵 线性流形 最小二乘解 最佳逼近
2012/11/23
研究了线性流形上W反对称矩阵反问题的最小二乘解及其逼近问题,给出了最小二乘解的一般表达式,并就该问题的特殊情况——矩阵反问题,获得了有解的充分必要条件,在有解的条件下得到了解的一段表达式.
The Convex Geometry of Linear Inverse Problems
Convex optimization semidefinite programming atomic norms
2011/1/17
In applications throughout science and engineering one is often faced with the challenge of
solving an ill-posed inverse problem, where the number of available measurements is smaller
than the dimen...
NP-hardness of Deciding Convexity of Quartic Polynomials and Related Problems
NP-hardness of Deciding Convexity of Quartic Polynomials Related Problems
2011/1/19
We show that unless P=NP, there exists no polynomial time (or even pseudo-polynomial time)
algorithm that can decide whether a multivariate polynomial of degree four (or higher even
degree) is globa...
Fourier coefficients of noncongruence cuspforms
Fourier coefficients noncongruence cuspforms
2011/1/21
Given a finite index subgroup of SL2(Z) with modular curve defined over Q,under the assumption that the space of weight k (≥ 2) cusp forms is 1-dimensional, we show that a form in this space with Four...
Abstract commensurators of solvable Baumslag - Solitar groups
Abstract commensurators solvable Baumslag - Solitar groups
2011/2/22
We prove that for any n > 2, the abstract commensurator group of the Baumslag –Solitar group BS(1, n) is isomorphic to the subgroup { 1 q 0 p | q ∈ Q, p ∈ Q∗} of GL2(Q).
On the integrability of polynomial fields in the plane by means of Picard-Vessiot theory
Differential Galois Theory Darboux theory of Integrability Poincar´ e problem,
2011/2/24
We study the integrability of polynomial vector fields using Galois theory of linear differential equations when the associated foliations is reduced to a Riccati type folia-tion.