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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
Published by: Institute of Mathematical Statistics
Stable URL: http://www.jstor.org/stable/4355708
Page Count: 12
You can always find the topics here!Topics: Estimators, Entropy, Estimation methods, Linear equations, Mathematical maxima, Mathematical minima, Componentwise operations, Mathematical manifolds, Tomography, Statistical estimation
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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.
Lecture Notes-Monograph Series © 1991 Institute of Mathematical Statistics