R
R. S. Martin
Researcher at National Physical Laboratory
Publications - 15
Citations - 968
R. S. Martin is an academic researcher from National Physical Laboratory. The author has contributed to research in topics: Matrix (mathematics) & Positive-definite matrix. The author has an hindex of 14, co-authored 15 publications receiving 953 citations.
Papers
More filters
Journal ArticleDOI
Symmetric decomposition of a positive definite matrix
Journal ArticleDOI
Householder's tridiagonalization of a symmetric matrix
TL;DR: In this article, an improved version of Householder's algorithm for tridiagonalization of a real symmetric matrix was discussed. But the most efficient form of the procedure depends on the method used to solve the eigenproblem of the derived tridiagon matrix.
Journal ArticleDOI
Similarity reduction of a general matrix to Hessenberg form
TL;DR: With several algorithms for finding the eigensystem of a matrix the volume of work is greatly reduced if the matrix A is first transformed to upper-Hessenberg form, i.e. to a matrix H such that h, ij 0 (i> i+1).
Journal ArticleDOI
Reduction of the symmetric eigenproblemAx=λBx and related problems to standard form
TL;DR: Each of the eigenproblems Ax and A B x = λ x can be reduced to the standard symmetric eigenproblem by making use of the Cholesky factorization of B.
Journal ArticleDOI
Symmetric decomposition of positive definite band matrices
TL;DR: In this paper, the method is based on the following theorem: if A is a positive definite matrix of band form such that A = 0, then there exists a real non-singular lower triangular matrix L such that L{L^T} = A,