A pent diagonal system with a bandwidth of five can be expressed generally as

Develop a program to efficiently solve such systems without pivoting in a similar fashion to the algorithm used for tridiagonal matrices in sec. 11.1.1. Test it for the following case.

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fi 81 h₁ e2 f2 82 h₂ dz ez d3 e3 f3 83 h3 da-1 en-1 fn-1 8-1 d₂ en fn J X1 X2 X3 Xn-1 Xn " 12 13 Tn-1 8 -2 -1 0 0 -2 -1 9 -4 7 -2 -7 -3 -4 0 0 -1 0 -1 -2 12 -5 -3 15 지 X2 X3 X4 Xs 5 1 fi 81 h₁ e2 f2 82 h₂ dz ez d3 e3 f3 83 h3 da-1 en-1 fn-1 8-1 d₂ en fn J X1 X2 X3 Xn-1 Xn " 12 13 Tn-1 8 -2 -1 0 0 -2 -1 9 -4 7 -2 -7 -3 -4 0 0 -1 0 -1 -2 12 -5 -3 15 지 X2 X3 X4 Xs 5 1

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There are the following steps to solve the pentadiagonal system without pivoting as follows First of all create a function pentasol which takes the di... View the full answer