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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 discuss two important issues related to introduce linearizing transformations search issue not limited but they tend arise there lot distribution data matters d z vs quite same intercept slope...