38 citations · 100 across the 5 of their papers we have counts for
4 papers · 1 filter
Forward stable eigenvalue decomposition of rank-one modifications of diagonal matrices
Nevena Jakovcevic Stor, Ivan Slapnicar, Jesse L. Barlow
We present a new algorithm for solving an eigenvalue problem for a real symmetric matrix which is a rank-one modification of a diagonal matrix. The algorithm computes each eigenval…
Accurate eigenvalue decomposition of arrowhead matrices and applications
Nevena Jakovcevic Stor, Ivan Slapnicar, Jesse L. Barlow
We present a new algorithm for solving an eigenvalue problem for a real symmetric arrowhead matrix. The algorithm computes all eigenvalues and all components of the corresponding e…
Reorthogonalized Block Classical Gram--Schmidt
Jesse L. Barlow, Alicja Smoktunowicz
A new reorthogonalized block classical Gram--Schmidt algorithm is proposed that factorizes a full column rank matrix into where is left orthogonal (has orthonormal c…
A note on the error analysis of classical Gram-Schmidt
Alicja Smoktunowicz, Jesse L. Barlow, Julien Langou
An error analysis result is given for classical Gram--Schmidt factorization of a full rank matrix into where is left orthogonal (has orthonormal columns) and is…