System of linear equations

Known as: Homogeneous system, Linear Equation System, Vector equation 
In mathematics, a system of linear equations (or linear system) is a collection of two or more linear equations involving the same set of variables… (More)
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Papers overview

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2013
2013
2 Department of Computer Science, COMSATS Institute of Information Technology, Sahiwal, Pakistan Abstract. In this paper, we use… (More)
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Highly Cited
2012
Highly Cited
2012
Finding the sparsest solution to underdetermined systems of linear equations y = Φx is NP-hard in general. We show here that for… (More)
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Highly Cited
2006
Highly Cited
2006
Finding the sparsest solution to underdetermined systems of linear equations y = Φx is NP-hard in general. We show here that for… (More)
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Highly Cited
2005
Highly Cited
2005
This paper considers a natural error correcting problem with real valued input/output. We wish to recover an input vector f/spl… (More)
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Highly Cited
2005
Highly Cited
2005
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… (More)
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Highly Cited
2004
Highly Cited
2004
We consider linear equations y = Φα where y is a given vector in R, Φ is a given n by m matrix with n < m ≤ An, and we wish to… (More)
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1997
Highly Cited
1997
Moreover, we show that result 2 also holds for the Shortest Lattice Vector Problem in the l norm. Also, for some of these… (More)
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Highly Cited
1990
Highly Cited
1990
This report compares the performance of different computer systems in solving dense systems of linear equations. The comparison… (More)
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1986
Highly Cited
1986
Ahstruct-A “coordinate recurrence” method for solving sparse systems of linear equations over finite fields is described. The… (More)
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Highly Cited
1952
Highly Cited
1952
In an earlier publication [14] a method was described which generated the eigenvalues and eigenvectors of a matrix by a… (More)
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