Uniqueness of matrix square roots under a numerical range condition

DOI10.1016/S0024-3795(01)00358-5zbMath0992.15009WikidataQ126988276 ScholiaQ126988276MaRDI QIDQ5957193

Charles R. Johnson, Kazuyoshi Okubo

Publication date: 6 September 2002

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

zbMATH Keywords

numerical rangespectrummatrix square root

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (4)

Liouville-Green asymptotic approximation for a class of matrix differential equations and semi-discretized partial differential equations ⋮ On numerical ranges and roots. ⋮ Roots of C*-algebra elements under numerical range condition ⋮ Newton's method for the matrix nonsingular square root

Cites Work

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• On the square roots of strictly quasiaccretive complex matrices
• Uniqueness of matrix square roots and an application

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