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On Power Control and Secrecy Capacity: M−Matrix Theory Based Analysis
"... We consider power control in multiterminal networks and study its impact on secrecy capacities of transmitreceive pairs. Note that most approaches in the current literature on secrecy capacity consider only single terminals. Impact of power control on secrecy capacity has seldom been studied. Th ..."
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. This paper investigates a new approach using the theory of M−matrices to utility based power control with pricing in multiterminal networks. The power control problem with pricing is formulated as a noncooperative game and necessary and sufficient conditions for the existence of a unique Nash equilibrium
Unique existence theorem of solution of almost periodic differential equations on time scales, Discrete Dyn
 Nat. Soc. 2012 (2012), Art. ID
"... By using the theory of calculus on time scales and Mmatrix theory, the unique existence theorem of solution of almost periodic differential equations on almost periodic time scales is established. The result can be used to a large of dynamic systems. ..."
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Cited by 2 (0 self)
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By using the theory of calculus on time scales and Mmatrix theory, the unique existence theorem of solution of almost periodic differential equations on almost periodic time scales is established. The result can be used to a large of dynamic systems.
For Most Large Underdetermined Systems of Linear Equations the Minimal ℓ1norm Solution is also the Sparsest Solution
 Comm. Pure Appl. Math
, 2004
"... 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 ∈ R m. We suppose that the columns of Φ are normalized to unit ℓ 2 norm 1 and we place uniform measure on such Φ. We prove the existence of ρ = ρ(A) so that ..."
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Cited by 568 (10 self)
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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 ∈ R m. We suppose that the columns of Φ are normalized to unit ℓ 2 norm 1 and we place uniform measure on such Φ. We prove the existence of ρ = ρ(A) so
Decoding by Linear Programming
, 2004
"... This paper considers the classical error correcting problem which is frequently discussed in coding theory. We wish to recover an input vector f ∈ Rn from corrupted measurements y = Af + e. Here, A is an m by n (coding) matrix and e is an arbitrary and unknown vector of errors. Is it possible to rec ..."
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Cited by 1399 (16 self)
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This paper considers the classical error correcting problem which is frequently discussed in coding theory. We wish to recover an input vector f ∈ Rn from corrupted measurements y = Af + e. Here, A is an m by n (coding) matrix and e is an arbitrary and unknown vector of errors. Is it possible
Trading Group Theory for Randomness
, 1985
"... In a previous paper [BS] we proved, using the elements of the Clwory of nilyotenf yroupu, that some of the /undamcnla1 computational problems in mat & proup, belong to NP. These problems were also ahown to belong to CONP, assuming an unproven hypofhedi.9 concerning finilc simple Q ’ oup,. The a ..."
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Cited by 353 (9 self)
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,. The aim of this paper is t.o replace most of the (proven and unproven) group theory of IBS] by elementary combinatorial argumenls. The rev & we prove is that relative to a random oracle f3, tbc meutioned matrix group problems belong to (NPncoNP)L! Thr problems we consider arr membership in and order
Accurate Solutions of MMatrix Sylvester Equations
, 2010
"... This paper is concerned with a relative perturbation theory and its entrywise relatively accurate numerical solutions of an Mmatrix Sylvester equation AX +XB = C by which we mean either both A and B are nonsingular Mmatrices or one of them and P = Im⊗A+B T⊗In are nonsingular Mmatrices, and C is e ..."
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Cited by 1 (1 self)
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This paper is concerned with a relative perturbation theory and its entrywise relatively accurate numerical solutions of an Mmatrix Sylvester equation AX +XB = C by which we mean either both A and B are nonsingular Mmatrices or one of them and P = Im⊗A+B T⊗In are nonsingular Mmatrices, and C
Existence and stability of periodic solutions for CohenGrossberg neural networks with multiple delays
 Chaos, Solitons & Fractals
"... In this paper, a generalized model of CohenGrossberg neural networks with periodic coefficients and both timevarying and distributed delays is investigated. By employing Mawhin’s continuation theorem, analytic methods, inequality technique and Mmatrix theory, some sufficient conditions ensuring ..."
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Cited by 10 (3 self)
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In this paper, a generalized model of CohenGrossberg neural networks with periodic coefficients and both timevarying and distributed delays is investigated. By employing Mawhin’s continuation theorem, analytic methods, inequality technique and Mmatrix theory, some sufficient conditions
Exponential stability of BAM neural networks with tranmission delays, Neurocomputing 57
, 2004
"... In this paper, a generalized model of bidirectional associative memory (BAM) neural networks delays and impulses is investigated. By constructing suitable Lyapunov functional, Halanaly differential inequality and Mmatrix theory, some sufficient conditions for global exponential stability of genera ..."
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Cited by 6 (0 self)
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In this paper, a generalized model of bidirectional associative memory (BAM) neural networks delays and impulses is investigated. By constructing suitable Lyapunov functional, Halanaly differential inequality and Mmatrix theory, some sufficient conditions for global exponential stability
Exponential Stability of ReactionDiffusion Generalized CohenGrossberg Neural Networks with both Variable and Distributed Delays1
"... In this paper, a generalized reactiondiffusion model of CohenGrossberg neural networks with timevarying and distributed delays is investigated. By employing analytic methods, inequality technique and Mmatrix theory, some sufficient conditions ensuring the existence, uniqueness and global exponen ..."
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In this paper, a generalized reactiondiffusion model of CohenGrossberg neural networks with timevarying and distributed delays is investigated. By employing analytic methods, inequality technique and Mmatrix theory, some sufficient conditions ensuring the existence, uniqueness and global
Stability in Impulsive BiDirectional Associative Memory Neural Networks with TimeVarying Delays1
"... In this paper, a class of impulsive bidirectional associative memory (BAM) neural networks with timevarying delays is investigated. By employing the delay differential inequality with impulsive initial conditions and Mmatrix theory, some new sufficient conditions ensuring the existence, uniquene ..."
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In this paper, a class of impulsive bidirectional associative memory (BAM) neural networks with timevarying delays is investigated. By employing the delay differential inequality with impulsive initial conditions and Mmatrix theory, some new sufficient conditions ensuring the existence
Results 1  10
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