Continued fraction expansion of the geometric matrix mean and applications

DOI10.1016/S0024-3795(02)00427-5zbMath1027.15018MaRDI QIDQ1864959

Mustapha Raïssouli, Fatima Leazizi

Publication date: 23 March 2003

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

zbMATH Keywords

convergencenumerical examplescontinued fractiongeometric matrix mean

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Convergence and divergence of continued fractions (40A15) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (4)

Further inequalities involving the weighted geometric operator mean and the Heinz operator mean ⋮ Generalized product of two square matrices and application for some algebraic equations ⋮ The geometric mean of two matrices from a computational viewpoint ⋮ Unnamed Item

Cites Work

• Convergence of matrix continued fractions
• A Schur method for solving algebraic Riccati equations
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