Characterizations and lower bounds for the spread of a normal matrix

DOI10.1016/S0024-3795(02)00534-7zbMath1021.15015MaRDI QIDQ1870061

Ravinder Kumar, Jorma Kaarlo Merikoski

Publication date: 4 May 2003

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

inequalities involving eigenvaluesnormal matrixspread of a matrixlower bounds of the spread

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (21)

Some bounds for central moments and spreads of matrices ⋮ Some inequalities related to eigenvalues ⋮ On the Zagreb matrix and Zagreb energy ⋮ On the spread of the geometric-arithmetic matrix of graphs ⋮ The \(A_\alpha\)-spread of a graph ⋮ Further bounds for the spread of a matrix ⋮ The spread of the spectrum of a nonnegative matrix with a zero diagonal element ⋮ New bounds for the signless Laplacian spread ⋮ Laplacian spread of graphs: lower bounds and relations with invariant parameters ⋮ Lower bounds for the spread of a nonnegative matrix ⋮ Note on the spread of real symmetric matrices with entries in fixed interval ⋮ Bounds on the \(Q\)-spread of a graph ⋮ Positive linear maps and perturbation bounds of matrices ⋮ Unnamed Item ⋮ Positive linear maps and spreads of matrices. II ⋮ Some inequalities for central moments of matrices ⋮ Some inequalities for positive linear maps ⋮ A note on variance bounds and location of eigenvalues ⋮ Unnamed Item ⋮ Inequalities for central moments and spreads of matrices ⋮ Lower bounds for the numerical radius

Cites Work

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• Two inequalities in nonnegative symmetric matrices
• The spread of a matrix
• Matrix Analysis
• The inefficiency of least squares
• On a lower bound for the perron eigenvalue

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