What is the sparsity structure of the resulting matrix l

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Reference no: EM131263589

Consider the LU decomposition of an upper Hessenberg (no, it's not a place in Germany) matrix, defined on the facing page, assuming that no pivoting is needed: A = LU.

(a) Provide an efficient algorithm for this LU decomposition (do not worry about questions of memory access and vectorization).

(b) What is the sparsity structure of the resulting matrix L (i.e., where are its nonzeros)?

(d) Suppose now that partial pivoting is applied. What are the sparsity patterns of the factors of A?

Reference no: EM131263589

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