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• W2079678340 abstract "We show that the quadratic matrix equation VW + η(W)W = I, for given V with positive real part and given analytic mapping η with some positivity preserving properties, has exactly one solution W with positive real part. Also we provide and compare numerical algorithms based on the iteration underlying our proofs. This work bears on operator-valued free probability theory, in particular on the determination of the asymptotic eigenvalue distribution of band or block random matrices." @default.
• W2079678340 created "2016-06-24" @default.
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• W2079678340 date "2007-01-01" @default.
• W2079678340 modified "2023-10-03" @default.
• W2079678340 title "Operator-valued Semicircular Elements: Solving A Quadratic Matrix Equation with Positivity Constraints" @default.
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• W2079678340 doi "https://doi.org/10.1093/imrn/rnm086" @default.
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