2.2.1 Gauss Elimination / 79 2.2.2 Partial Pivoting / 81 ... 8.3.1 Scaled Power Method / 378 ... since many of the MATLAB codes presented after introducing GaussJordanElimination code in Java GaussJordanElimination.java Below is the syntax highlighted version of GaussJordanElimination.java from §9.5 Numerical Solutions to Differential Equations .

is decomposed using Gaussian elimination with partial pivoting and row interchanges into ( n2i- l'2i- l ~ U2i_12i_ l ' P \ L2i,2i-1 / where P is the permutation matrix. After this factorization, block A2i-l,2i A2i-1 2i+1 A2i,2i A2~,2'i+1 ) will be updated by the inverse of L2i-1,2i-1 0 L2i,2i-1 I / "

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