Alastair Spence

Computational Theory and Mathematics · 2006–2011

A researcher in the Science corpus: 3 papers; trusts 6 researchers and is trusted by 0 researchers here, as inferred from the citation graph.

Subfields

• Computational Theory and Mathematics — 6 citations into it
• Numerical Methods & Scientific Computing — 5 citations into it

Whom Alastair Spence trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Andrew V. Knyazev
2. Gene H. Golub
3. Beresford N. Parlett
4. Valeria Simoncini

Papers from Alastair Spence's perspective

Ordered by how strongly the researchers Alastair Spence trusts endorse each paper. Same corpus, a different order for every researcher.

1. The Symmetric Eigenvalue Problem
2. Inexact Inverse Iteration for Generalized Eigenvalue Problems
3. Matrix Perturbation Theory
4. The algebraic eigenvalue problem
5. Toward the Optimal Preconditioned Eigensolver: Locally Optimal Block Preconditioned Conjugate Gradient Method (SIAM Journal on Scientific Computing)
6. Numerical methods for large eigenvalue problems (Acta Numerica)
7. The Geometry of Algorithms with Orthogonality Constraints
8. Large sparse symmetric eigenvalue problems with homogeneous linear constraints: the Lanczos process with inner–outer iterations
9. The Rotation of Eigenvectors by a Perturbation. III
10. Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite linear systems (Numerische Mathematik)

Their papers

• A Newton-based method for the calculation of the distance to instability (2011) — 51 citations
• A tuned preconditioner for inexact inverse iteration applied to Hermitian eigenvalue problems (2007) — 47 citations
• Inexact inverse iteration for symmetric matrices (2006) — 58 citations