Simultaneous diagonalization of two quaternion matrices
摘要
The simultaneous diagonalization by congruence of pairs of Hermitian quatemion matrices is discussed. The problem is reduced to a parallel one on complex matrices by using the complex adjoint matrix related to each quatemion matrix. It is proved that any two semi-positive definite Hermitian quatemion matrices can be simultaneously diagonalized by congruence.
引用本文（GB/T 7714）
ZhouJianhua. Simultaneous diagonalization of two quaternion matrices[J]. 东南大学学报：英文版, 2003.
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