MATH 685/ CSI 700/ OR 682 Lecture Notes. Lecture 3. Solving linear systems. Solving linear systems. To solve linear system, transform it into one whose solution is same but easier to compute What type of transformation of linear system leaves solution unchanged?
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Solving linear systems
solution (i.e., only one entry in that row of matrix is nonzero), then that component can be computed by division
triangular solutions cost only O(n2) work, in contrast to
O(n3) cost of factorization