In this note, we show that linear programming and the prominent Basis Pursuit problem (i.e., minimizing the `1-norm of a vector x subject to an underdetermined linear equation system Ax = b) are theoretically equivalent, and briefly discuss possible ramifications regarding computational complexity and practical applicability. Copyright line will be provided by the publisher
The problem of obtaining a minimum L 1e solution of an underdetermined system of consistent linear e...
It is proved that the computation of , the constrained gradient is equivalent (in a coMplexity, theo...
We give a lucthod lo obtaia a nomegativc solution of any system of linear equations, if such a solut...
We propose a novel differentiable reformulation of the linearly-constrained ℓ1 minimization problem,...
The basis pursuit technique is used to find a minimum one-norm solution of an underdetermined least-...
We develop a greedy algorithm for the basis-pursuit problem. Thealgorithm is empirically found to pr...
In a linear program (LP) in standard form, we show that the problem of finding a cheapest feasible b...
AbstractIn a linear program (LP) in standard form, we show that the problem of finding a cheapest fe...
In a linear program (LP) in standard form, we show that the problem of finding a cheapest feasible b...
Linear programming is one of the most successful disciplines within the eld of operations research. ...
For a bounded system of linear equalities and inequalities we show that the NP-hard ?0 norm minimiza...
This paper describes a new technique to find the minimum norm solution of a linear program. The main...
By perturbing properly a linear program to a separable quadratic program it is possible to solve the...
It is shown that finding a solution to a linear vector optimization problem which is efficient with ...
Linear programming has many important practical applications, and has also given rise to a wide body...
The problem of obtaining a minimum L 1e solution of an underdetermined system of consistent linear e...
It is proved that the computation of , the constrained gradient is equivalent (in a coMplexity, theo...
We give a lucthod lo obtaia a nomegativc solution of any system of linear equations, if such a solut...
We propose a novel differentiable reformulation of the linearly-constrained ℓ1 minimization problem,...
The basis pursuit technique is used to find a minimum one-norm solution of an underdetermined least-...
We develop a greedy algorithm for the basis-pursuit problem. Thealgorithm is empirically found to pr...
In a linear program (LP) in standard form, we show that the problem of finding a cheapest feasible b...
AbstractIn a linear program (LP) in standard form, we show that the problem of finding a cheapest fe...
In a linear program (LP) in standard form, we show that the problem of finding a cheapest feasible b...
Linear programming is one of the most successful disciplines within the eld of operations research. ...
For a bounded system of linear equalities and inequalities we show that the NP-hard ?0 norm minimiza...
This paper describes a new technique to find the minimum norm solution of a linear program. The main...
By perturbing properly a linear program to a separable quadratic program it is possible to solve the...
It is shown that finding a solution to a linear vector optimization problem which is efficient with ...
Linear programming has many important practical applications, and has also given rise to a wide body...
The problem of obtaining a minimum L 1e solution of an underdetermined system of consistent linear e...
It is proved that the computation of , the constrained gradient is equivalent (in a coMplexity, theo...
We give a lucthod lo obtaia a nomegativc solution of any system of linear equations, if such a solut...
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