GH-CONGRUENCE CANONICAL FORM OF QUATERNION MATRIX AND SIMULTANEOUS DIAGONALIZATION OF MATRICES-中国期刊网

摘要 Inthispaper,theGH-congruencecanonicalformsofpositivesemidefiniteanddefinteiniteanddefinite(neednotbeself-conjugate)quaternionmatricesaregiven,andaneccessaryandsufficientconditionofGH-congruencefortwopositivesemidifinite(definite)quaternionmatricesisgivenalso.ThensimultaneousGH-congruencereducedformsfortwoself-conjugatematri-cesandsomeresultaboutthesimultaneousGH-congruencediagonalizationofquaternionmatricesareobtained.

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GH-CONGRUENCE CANONICAL FORM OF QUATERNION MATRIX AND SIMULTANEOUS DIAGONALIZATION OF MATRICES

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GH-CONGRUENCE CANONICAL FORM OF QUATERNION MATRIX AND SIMULTANEOUS DIAGONALIZATION OF MATRICES

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