Nonnormality and Jordan Condition Numbers of Matrices
Journal of the ACMPublished 1 October 1969Open access
Georghios Loizou
Citations12
SJR quartileQ1
SJR score2.25
SNIP3.16
Generate an AI Snapshot to get a quick, structured summary of this paper.
Study Snapshot
ObjectiveStudy objective
MethodsResearch methodology
PopulationPopulation studied
Sample sizeSample sizes
OutcomesStudy outcomes here
ResultsStudy results comes here
LimitationsResearch study limitations comes here
A concise AI-generated summary of the paper will appear here once you click Generate AI Snapshot.
TL;DR
A lower bound for the departure from normality of an X X A matrix is given and various inequalities are obtained for certain condition numbers associated with the reduction of A to its Jordan canonical form.
Abstract
A lower bound for the departure from normality of an n X n matrix A is given. Furthermore, various inequalities are obtained for certain condition numbers associated with the reduction of A to its Jordan canonical form.
Keywords
Computer ScienceEngineeringPhysics and Astronomy
Journal of the Society for Industrial and Applied MathematicsA Jacobi-Like Method for the Automatic Computation of Eigenvalues and Eigenvectors of an Arbitrary Matrix
113 Citations1962P. J. Eberlein
Numerische MathematikThe condition numbers of the matrix eigenvalue problem
39 Citations1967R. A. Smith
Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical PhysicsTwo matrix eigenvalue inequalities
3 Citations1962Seymour Haber
