27: Gaussian Elimination - Sparse Matrices
- Page ID
- 48482
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In the previous chapter, we observed that the number of floating point operations required to solve a \(n \times n\) tridiagonal system scales as \(\mathcal{O}(n)\) whereas that for a general (dense) \(n \times n\) system scales as \(\mathcal{O}\left(n^{3}\right)\). We achieved this significant reduction in operation count by taking advantage of the sparsity of the matrix. In this chapter, we will consider solution of more general sparse linear systems.