位置：成果数据库 > 期刊 > 期刊详情页
3阶张量的最佳秩-r逼近
  • ISSN号：1673-2618
  • 期刊名称：《滨州学院学报》
  • 时间：0
  • 分类：O151.2[理学—数学;理学—基础数学]
  • 作者机构：[1]日照职业技术学院基础部,山东日照276826
  • 相关基金：国家自然科学基金资助项目（10671121）
作者： 许传亮[1], 唐晓春[1]
关键词： 3阶张量, 秩-r逼近, PARAFAC分解的唯一性, 3-order tensor, rank-r approximation, the uniqueness of PARAFAC decomposition
中文摘要：

讨论了3阶张量的最佳秩-r逼近有关性质，并基于此建立了3阶张量的最佳秩-r逼近唯一的充分条件．

英文摘要：

For the best rank-approximation of 3-order tensor,we first discuss its properties and then establish a sufficient condition to guarantee the uniqueness of the best rank approximation.

同期刊论文项目
离散系统的可积特征、新孤子解
期刊论文 56
同项目期刊论文
General formulae for two pseudo-differential operators
New double Wronskian solutions of the AKNS equation
Application of Exp-function method to discrete nonlinear Schrodinger lattice equation with symbolic
Searching for Painleve integrable conditions of nonlinear PDEs with constant parameters using symbol
Generalized Wronskian solutions to modified Korteweg-de Vries equation via its Backlund transformati
Multisoliton solutions to a nonisospectral (2+1)-dimensional breaking soliton equation
Soliton Solutions for a Negative Order AKNS Equation
Conservation laws of a discrete soliton system
The double Wronskian solutions to the Kadomtset Petviashvili equation
Resonances of line solitons in a non-isospectral Kadomtsev-Petviashvili equation
Casoratian solutions to a non-isospectral differential-difference Kadomtsev-Petviashvilli equation
Solving the hierarchy of the nonisospectral KdV equation with self-consistent sources via the invers
Scattering of solitons of modified KdV equation with self-consistent sources
Integrable coupling of the Ablowitz-Ladik hierarchy and its Hamiltonian structure
Integrable Rosochatius deformations of higher-order constrained flows and the soliton hierarchy with
The quadratic-form identity for constructing the Hamiltonian structures of the discrete integrable s
Conservation Laws and Symmetries of the Levi Equation
Algebraic method for constructing exact discrete soliton solutions of Toda and mKdV lattices
N-soliton solutions of general nonlinear Schrodinger equation with derivative
Hierarchies of multi-component mKP equations and theirs integrable couplings
A new 4 x 4 AKNS spectral problem and its associated integrable decomposition of the AKNS equation
The double Wronskian solutions of a non-isospectral Kadomtsev-Petviashvili equation
Soliton solutions, rational solutions, Matveev solutions, complexitons and mixed solutions for three
THE MULTI-SOLITON SOLUTIONS FOR THE NON-ISOSPECTRAL mKdV-SINE-GORDON EQUATION
N-Soliton Solutions of Non-Isospectral Derivative Nonlinear Schrodinger Equation
Multisoliton solutions to the lattice Boussinesq equation
A limit symmetry of the KdV equation and its applications
Symmetries and Lie algebra of the differential-difference Kadomstev-Petviashvili hierarchy
Generating Solutions to Discrete sine-Gordon Equation from Modified Backlund Transformation
Rational solutions of the general nonlinear Schrodinger equation with derivative
Soliton scattering with amplitude changes of a negative order AKNS equation
Soliton Solutions for a Negative Order AKNS Equation Hierarchy
Soliton solutions for ABS lattice equations: II. Casoratians and bilinearization
Breathers and limit solutions of the nonlinear lumped self-dual network equation
CASORATIAN SOLUTIONS AND NEW SYMMETRIES OF THE DIFFERENTIAL-DIFFERENCE KADOMTSEV-PETVIASHVILI EQUATI
KdV Equation with Self-consistent Sources in Non-uniform Media
The limit solutions of the difference-difference KdV equation
The Kadomtsev-Petviashvili equation with self-consistent sources in nonuniform media
Soliton solutions for a negative order non-isospectral AKNS equation
A new extended discrete KP hierarchy and a generalized dressing method
Hierarchies, integrable decompositions and conservation laws of Geng equation
Exact solutions for KdV system equations hierarchy
Conservation laws and lax pair of the variable coefficient KdV equation
A note on Casoratian solutions to two-dimensional Toda lattice
The second mKdV equation and its hereditary symmetry and Hamiltonian structure
Novel Wronskian solutions to Boussinesq equation
Discrete integrable couplings of the Volterra lattice
Gauge transform between the first order nonisospectral AKNS hierarchy and AKNS hierarchy
Exact solutions of non-isospectral sine-Gordon equation with self-consistent sources
Generalized Wronskian solutions to differential-difference KP equation
The multi-component second modified Korteweg-de Vries equation and its two distinct integrable coupl
A New m × m Matrix Kaup-Newell Spectral Problem and Its Associated Integrable Decomposition
Casoratian Solutions to Toda Lattice Via Its Backlund Transformation
期刊信息
  • 《滨州学院学报》
  • 主管单位:山东省教育厅
  • 主办单位:滨州学院
  • 主编：邹丽娜
  • 地址：山东省滨州市黄河五路391号
  • 邮编：256603
  • 邮箱：jbuwhb@163.com
  • 电话：0543-3190158
  • 国际标准刊号：ISSN：1673-2618
  • 国内统一刊号：ISSN：37-1435/Z
  • 邮发代号:
  • 获奖情况:
  • 学报被评为中国高校特色科技期刊、全国优秀社科学...
  • 国内外数据库收录:
  • 被引量:1737