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- Iain S. Duff, John K. Reid
- ACM Trans. Math. Softw.
- 1983

We extend the frontal method for solving linear systems of equations by permitting more than one front to occur at the same time. This enables us to develop code for general symmetric systems. We discuss the orgamzation and implementatmn of a multifrontal code which uses the minimum-degree ordering and indicate how we can solve indefinite systems in a… (More)

- J. K. Reid
- 1998

The ordering of large sparse symmetric matrices for small profile and wavefront or for small bandwidth is important for the efficiency of frontal and variable-band solvers. In this report, we look at the computation of pseudoperipheral nodes and compare the effectiveness of using an algorithm based on level-set structures with using the spectral method as… (More)

- Iain S. Duff, John K. Reid
- ACM Trans. Math. Softw.
- 1978

An implementation of Tarj an's algorithm for symmetrically permuting a given matrix to block tmangular form is described. The discussion includes a flowchart of the algorithm, a complexity analysis, and a comparison with the earlier widely used algorithm of Sargent and Westerberg. T~ming results are presented from several experiments using the code… (More)

- M. J. D. Powell, John K. Reid
- IFIP Congress
- 1968

- Donald Goldfarb, John K. Reid
- Math. Program.
- 1977

- John K. Reid
- Math. Program.
- 1982

- Iain S. Duff, John K. Reid
- ACM Trans. Math. Softw.
- 1996

We describe the design of a new code for the solution of sparse indefinite symmetric linear systems of equations. The principal difference between this new code and earlier work lies in the exploitation of the additional sparsity available when the matrix has a significant number of zero diagonal entries. Other new features have been included to enhance the… (More)

- Iain S. Duff, John K. Reid
- ACM Trans. Math. Softw.
- 1979

has been used either as a stand-alone subroutine or within larger programming packages in many centers throughout the world. Although most users have been very pleased with the performance of these subroutines they have criticized them because (i) they are not easily portable since they use facilities peculiar to the IBM 360/370 series (although some… (More)

- John K. Reid, Jennifer A. Scott
- SIAM J. Matrix Analysis Applications
- 2006

For a sparse symmetric matrix, there has been much attention given to algorithms for reducing the bandwidth. As far as we can see, little has been done for the unsymmetric matrix A, which has distinct lower and upper bandwidths l and u. When Gaussian elmination with row interchanges is applied, the lower bandwidth is unaltered while the upper bandwidth… (More)

- John Reid, Robert Skomro, +4 authors Christian Guilleminault
- Sleep
- 2011

BACKGROUND
Gestational hypertension is a common complication of pregnancy. Recent evidence suggests that women with gestational hypertension have a high rate of sleep disordered breathing (SDB). Using laboratory-based polysomnography, we evaluated for the frequency of SDB in women with gestational hypertension compared to healthy women with uncomplicated… (More)