On the square roots of strictly quasiaccretive complex matrices

DOI10.1016/0024-3795(79)90127-7zbMath0418.15012OpenAlexW1969093675MaRDI QIDQ755636

Michael Neumann, David W. Masser

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0024-3795(79)90127-7

zbMATH Keywords

square root of matrixquasi-accretive matrix

Mathematics Subject Classification ID

Matrix equations and identities (15A24)

Related Items (10)

On the properties of accretive-dissipative matrices ⋮ A geometric approach to numerical radius inequalities ⋮ On numerical ranges and roots. ⋮ Numerical radius inequalities of sectorial matrices ⋮ Extraction of mth roots in matrix rings over fields ⋮ Perturbation bounds for matrix square roots and Pythagorean sums ⋮ Uniqueness of matrix square roots and an application ⋮ Square roots with positive definite Hermitian part ⋮ Uniqueness of matrix square roots under a numerical range condition ⋮ On dissipative matrices

Cites Work

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• Extensions of the Ostrowski-Reich theorem for SOR iterations
• The range of \(A^{-1} A^*\) in GL(n,C)
• On strictly dissipative matrices
• Generalized Cayley transforms and strictly dissipative matrices
• Some mapping theorems for the numerical range

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