A pentadiagonal system with a bandwidth of five can be expressed generally as f1 g1 h1

Chapter 9, Problem 9.16

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A pentadiagonal system with a bandwidth of five can be expressed generally as f1 g1 h1 e2 f2 g2 h2 d3 e3 f3 g3 h3 dn1 en1 fn1 gn1 dn en fn x1 x2 x3 xn1 xn = r1 r2 r3 rn1 rn Develop an M-file to efficiently solve such systems without pivoting in a similar fashion to the algorithm used for tridiagonal matrices in Sec. 9.4.1. Test it for the following case: 8 2 10 0 2 9 4 1 0 1 3 7 1 2 0 4 2 12 5 0 0 7 3 15 x1 x2 x3 x4 x5 = 5 2 1 1 5

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