Linear least-squares estimation
The topic of linear least-squares estimation, apparently a very specaial one, has ramifications in a large number of problems, both specific and general, stochastic and deterministic. Among these, we might mention the detection of Gaussian signals in Gaussian noise, quadratic minimization problems in modern control theory, polynomial factorization problems in network theory, computation of spline functions, solution of fredholm integral equations and two-point linear boundary-value problems, Pade approximation problems, system identification techniques, the theory of invariant subspaces and Hiilbert-space operators, inverse Sturm-Liouville problems, and so on.
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