Part 1 -Solving Underdetermined Linear Algebra Problems
1 year ago
3
linear algebra
applied math
matrix theory
underdetermined equations
underdetermined matrix equation
singular matrix
approximation methods
singular value decomposition
non square matrix
null space
generalized inverse
We address an approximation method for solving underdetermined matrix problems; that is problems with more unknowns than equations. We show that applying some prior knowledge or assumed property of the solution can reduce solution space and significantly improve on the solution estimation.
In part 1 we present the concept and show several one dimensional examples.
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