Infinity norm upper bounds for the inverse of $ {SDD_k} $ matrices
Xiaodong Wang, Feng Wang
Abstract
<abstract><p>In this paper, we introduce a new subclass of $ H $-matrices called $ {SDD_k} $ matrices, which contains $ {SDD} $ matrices and $ {SDD_1} $ matrices as special cases, and present some properties of $ {SDD_k} $ matrices. Based on these properties, we also provide new infinity norm bounds for the inverse of $ {SDD} $ matrices and $ {SDD_k} $ matrices. It is proved that these new bounds are better than some existing results in some cases. Numerical examples demonstrate the effectiveness of the obtained results.</p></abstract>
Topics & Concepts
InverseMathematicsNorm (philosophy)Matrix normCombinatoricsComplex matrixMatrix (chemical analysis)Eigenvalues and eigenvectorsPhysicsMaterials scienceChemistryGeometryChromatographyPolitical scienceLawComposite materialQuantum mechanicsMatrix Theory and AlgorithmsAdvanced Optimization Algorithms Researchgraph theory and CDMA systems