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...Syllabus lecture describing inverse problems probability and measurement error part the l norm simple least squares a priori information weighted squared resolution generalized inverses backus gilbert trade off of variance principle maximum likelihood inexact theories nonuniqueness localized averages vector spaces singular value decomposition equality inequality constraints linear programming nonlinear grid monte carlo searches newton s method simulated annealing bootstrap confidence intervals factor analysis varimax factors empircal orthogonal functions theory for continuous radon problem operators their adjoints frechet derivatives exemplary incl filter design earthquake location vibrational purpose introduce generalize it to an implicit gradient search are completely undirected alternative take directions from local properties function e m p start with guess near approximate as parabola find its minimum set new this iterate...