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- Higham
- 1990

Perturbation theory is developed for the Cholesky decomposition of an n × n symmetric positive semi-definite matrix A of rank r. The matrix W = A 11 A12 is found to play a key role in the… (More)

- Higham
- 1995

LAPACK and LINPACK both solve symmetric indefinite linear systems using the diagonal pivoting method with the partial pivoting strategy of Bunch and Kaufman [Math. Comp., 31 (1977), pp. 163–179]. No… (More)

- S................................................, T., +9 authors B P Ladgaonkar Head
- 2006

ABSTRACT. In a separate study, we conducted a series of high-precision radiocarbon measurements using wood from Britain and New Zealand to investigate interhemispheric offsets and possible temporal… (More)

- Rudiger Borsdorf, Higham
- 2008

Various methods have been developed for computing the correlation matrix nearest in the Frobenius norm to a given matrix. We focus on a quadratically convergent Newton algorithm recently derived by… (More)

The growth factor plays an important role in the error analysis of Gaussian elimination. It is well known that when partial pivoting or complete pivoting is used the growth factor is usually small,… (More)

- Tindle, O'Driscoll, Higham
- The Journal of the Acoustical Society of America
- 2000

The conventional coupled mode solution is combined with perturbation theory to give a fast, accurate range-dependent normal mode solution for deep water acoustic propagation. Perturbation theory is… (More)

- Masayoshi, Yamaguchi, +5 authors Kraus-Friedmann
- 2001

In isolated hepatic microsomal vesicles the heavy metals Cd*+, Cu’+, and Zn2+ inhibit Ca2+ uptake and evoke a prompt efflux of Ca2+ from preloaded vesicles in a dose-dependent manner.… (More)

- P Nicholas, J...., Higham
- 1990

A confluent Vandermonde-like matrix P(a0, a, an) is a generalisation of the confluent Vandermonde matrix in which the monomials are replaced by arbitrary polynomials. For the case where the… (More)

- P Nicholas, Higham
- 2001

The nearest symmetric positive senidefbite matrix in the Frobenius norm to an arbitrary real matrix A is shown to be (B + H)/2, where H is the symmetric p&r factor of B = (A + AT)/% In the e-norm a… (More)

- ConsistencyLisa, Higham, +4 authors CalgaryCalgary
- 2007

Atomic broadcast is a powerful communication primitive, which is applied in a natural way in sequentially consistent implementations of various data structures (see 1]). Unfortunately the atomic… (More)

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