Structure, properties and applications of some simultaneous decompositions for quaternion matrices involving \(\phi\)-skew-Hermicity

DOI10.1007/s00006-018-0921-4zbMath1409.15017OpenAlexW2900590900MaRDI QIDQ1728191

Zhuo-Heng He

Publication date: 22 February 2019

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-018-0921-4

zbMATH Keywords

matrix equationquaternionmatrix decomposition$\beta(\phi)$-signature$\phi$-skew-Hermitian solution

Mathematics Subject Classification ID

Factorization of matrices (15A23) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24) Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57)

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