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27th February 2023

ME42: Sparse unsymmetric system: out-of-core frontal method

To solve one or more sets of sparse linear complex equations, \(\mathbf{Ax} = \mathbf{b}\), \(\mathbf{A} ^T \mathbf{x} = \mathbf{b}\) or \(\mathbf{A} ^H \mathbf{x} = \mathbf{b}\), by the frontal method, optionally using direct-access files for the matrix factors so that large problems can be solved in a relatively small in-core memory (\(\mathbf{A} ^ H \mathbf{x} = \mathbf{b}\) is the transpose of the complex conjugate of \(\mathbf{A}\)). Use is made of high level BLAS kernels. The code has low in-core memory requirements. The complex matrix \(\mathbf{A}\) may be input by the user in either of the following ways:

(i) by elements in a finite-element calculation,

(ii) by equations (matrix rows).