An Explicit Formula for the Matrix Logarithm

Simple item page
dc.creatorCardoso, Joao R.
dc.date2004-10-26
dc.date.accessioned2026-07-07T05:13:43Z
dc.date.available2026-07-07T05:13:43Z
dc.descriptionWe present an explicit polynomial formula for evaluating the principal logarithm of all matrices lying on the line segment $\{I(1-t)+At:t\in [0,1]\}$ joining the identity matrix $I$ (at $t=0$) to any real matrix $A$ (at $t=1$) having no eigenvalues on the closed negative real axis. This extends to the matrix logarithm the well known Putzer's method for evaluating the matrix exponential.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/math/0410556
dc.identifierhttp://arxiv.org/abs/math/0410556
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73011
dc.subjectGeneral Mathematics
dc.subject15A18;34A30
dc.titleAn Explicit Formula for the Matrix Logarithm
dc.typetext

Files

Collections

arXiv