Linear and Multilinear Algebra · 1993 · 29 citations · 2 references
Spectral TheoryEngineeringResolvent KernelMatrix-valued FunctionsSingularly Perturbed ProblemNorm (Mathematics)New Precise EstimatesMatrix TheoryFunctional AnalysisMatrix AnalysisDifferential EquationsApproximation TheoryNonlinear Functional Analysis
New precise estimates for a norm of matrix-valued functions are obtained. These estimates improve I. Gel'fand's and G. Shilov's estimate for regular functions of matrices and carleman's estimate for resolvents. Applications to differential equations and to spectrum perturbations are considered.
2
A Survey of Matrix Theory and Matrix Inequalities
A. S. H., Marvin Marcus, Henryk Minc · Mathematics of Computation · 1965 · 1.4K citations