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Sparse Solution of Underdetermined Linear Equations by Stagewise Orthogonal Matching Pursuit
compressed sensing decoding error-correcting codes
2015/8/21
Finding the sparsest solution to underdetermined systems of linear equations y = Φx is NP-hard
in general. We show here that for systems with ‘typical’/‘random’ Φ, a good approximation to the
sparse...
Sparse Nonnegative Solution of Underdetermined Linear Equations by Linear Programming
Neighborly Polytopes Cyclic Polytopes
2015/8/21
Consider an underdetermined system of linear equations y = Ax with known d×n matrix
A and known y. We seek the sparsest nonnegative solution, i.e. the nonnegative x with fewest
nonzeros satisfying y...
Neighborly Polytopes and Sparse Solution of Underdetermined Linear Equations
Centrosymetric Polytopes Centrally-Neighborly Polytopes
2015/8/21
Consider a d × n matrix A, with d < n. The problem of solving for x in y = Ax is
underdetermined, and has many possible solutions (if there are any). In several fields it is
of interest to ...
For Most Large Underdetermined Systems of Linear Equations the Minimal ` 1 -norm Solution is also the Sparsest Solution
Solution of Underdetermined Linear Systems Overcomplete Representations
2015/8/21
We consider linear equations y = Φα where y is a given vector in R
n
, Φ is a given n by m
matrix with n < m ≤ An, and we wish to solve for α ∈ Rm. We suppose that the columns
of Φ are normalized ...
Oscillation and non-oscillation of second-order half-linear differential equations
Half-linear differential equations oscillation non-oscillation
2011/10/12
In this paper, we consider the oscillation and non-oscillation of second order half-linear differential equation. By using some new technique, we establish new oscillation and non-oscillation criteria...
Bohl-Perron type stability theorems for linear difference equations with infinite delay
Bounded delay uniform stability Perron’s property phase space
2010/12/15
Relation between two properties of linear difference equations with infinite delay is inves-
tigated: (i) exponential stability, (ii) ℓp-input ℓq-state stability (sometimes is called Perr...
Orbital stability of coupled standing waves for systems of non-linear Klein-Gordon equations
standing waves elliptic systems unbounded
2010/12/3
In this work we consider a system of two non-linear waves equa-tions where the non-negative, non-linear term is subcritic and contains a cou-pling term. We show the existence of standing waves solutio...
Asymptotic linear stability of solitary water waves
Asymptotic linear stability solitary water waves
2010/11/29
We prove an asymptotic stability result for the water wave equations linearized around
small solitary waves. The equations we consider govern irrotational flow of a fluid with constant density bounde...
STABILITY OF GENERAL LINEAR METHODS FOR SYSTEMS OF FUNCTIONAL-DIFFERENTIAL AND FUNCTIONAL EQUATIONS
2007/12/12
This paper is concerned with the numerical solution of functional-differential and functional equations which include functional-differential equations of neutral type as special cases. The adaptation...
期刊信息
篇名
On the iterated of meromorphic solutions of higer order linear differential equations
语种
英文
撰写或编译
撰写
作者
Cao Tingbin,Chen Zongxuan,Zheng Xiumin Tu Jin
第一作者单位
山东大学,江西师范大学
刊物名称
Ann． of Diff． Eq...
Picard–Vessiot Extensions for Linear Functional Systems
Linear functional systems Picard-Vessiot extensions Fundamental matrices Modules of formal solutions
2013/9/3
Picard-Vessiot extensions for ordinary differential and difference equations are well known and are at the core of the associated Galois theories. In this paper,we construct fundamental matrices and P...