Minor self-conjugate and skewpositive semidefinite solutions to a system of matrix equations over skew fields (Q2744278)

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scientific article; zbMATH DE number 1648876
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Minor self-conjugate and skewpositive semidefinite solutions to a system of matrix equations over skew fields
scientific article; zbMATH DE number 1648876

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    19 September 2001
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    skewpositive semidefinite solutions
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    system of matrix equations
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    quaternions
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    minor self-conjugate solutions
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    Minor self-conjugate and skewpositive semidefinite solutions to a system of matrix equations over skew fields (English)
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    The authors study the system of matrix equations over general quaternions: \(A_{mn}X_{nn} =A_{mn},B_{sn} X_{nn}=O_{sn}\). They give criteria for existence of special kinds of solutions (skewpositive semidefinite and minor self-conjugate solutions).
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