Almost skew-symmetric matrices

DOI10.1216/rmjm/1181069905zbMath1058.15029OpenAlexW2011069313MaRDI QIDQ1880982

Michael J. Tsatsomeros, Judith Joanne Mcdonald, Panayiotis J. Psarrakos

Publication date: 27 September 2004

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181069905

zbMATH Keywords

numerical rangerankinversionSchur complementsalmost skew-symmetric matrixeigenvalue locationprincipal pivot transform tournament

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57) Directed graphs (digraphs), tournaments (05C20)

Related Items (12)

On the geometry of the envelope of a matrix ⋮ The generalized Levinger transformation ⋮ Generalized principal pivot transform and its inheritance properties ⋮ Mapping and preserver properties of the principal pivot transform ⋮ The Cayley transform of prevalent matrix classes ⋮ An envelope for the spectrum of a matrix ⋮ On the shell and the shell-extremal eigenvalues of a square matrix ⋮ Generalized principal pivot transform ⋮ Tucker's theorem for almost skew-symmetric matrices and a proof of Farkas' lemma ⋮ Bounds for Levinger's function of nonnegative almost skew-symmetric matrices ⋮ Gaussian elimination and the ranks of the components in the Cartesian decomposition of a matrix ⋮ The Perron eigenspace of nonnegative almost skew-symmetric matrices and Levinger's transformation

Cites Work

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• Geometry of the numerical range of matrices
• On the maximal spectral radius of even tournament matrices and the spectrum of almost skew-symmetric compact operators
• Numerical range of matrices and Levinger's theorem
• Principal pivot transforms: Properties and applications
• Tournament matrices and their generalizations, I.
• Hypertournament matrices, score vectors and eigenvalues
• Singular values of tournament matrices
• On the location of the spectrum of hypertournament matrices

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