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Solutions of Underdetermined Systems of Linear Equations

W. R. Madych
Lecture Notes-Monograph Series
Vol. 20, Spatial Statistics and Imaging (1991), pp. 227-238
Stable URL: http://www.jstor.org/stable/4355708
Page Count: 12
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Solutions of Underdetermined Systems of Linear Equations
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Abstract

We (i) outline a general framework for generating solutions to underdetermined systems of equations, (ii) review properties of several specific methods, including minimal norm and maximum entropy, (iii) introduce specific alternate methods for generating non-negative solutions, (iv) compare, via systematic numerical examples, the solutions generated by these methods with those generated by the maximum entropy and minimum norm methods, and (v) consider the nature of the positivity constraint by studying a transparent example.

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