2017Applied Mathematics and ComputationRequires access

Simultaneous decomposition of quaternion matrices involving ź-Hermicity with applications

HeZhuo-Heng, WangQing-Wen, ZhangYang

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Abstract

Let R and H m n stand, respectively, for the real number field and the set of all m n matrices over the real quaternion algebra H = { a 0 + a 1 i + a 2 j + a 3 k | i 2 = j 2 = k 2 = ijk = - 1 , a 0...

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Let R and H m n stand, respectively, for the real number field and the set of all m n matrices over the real quaternion algebra H = { a 0 + a 1 i + a 2 j + a 3 k | i 2 = j 2 = k 2 = ijk = - 1 , a 0...

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Available abstract

Let R and H m n stand, respectively, for the real number field and the set of all m n matrices over the real quaternion algebra H = { a 0 + a 1 i + a 2 j + a 3 k | i 2 = j 2 = k 2 = ijk = - 1 , a 0...

Key concepts: Quaternion, Decomposition, Mathematics, Quaternion algebra, Field (mathematics), Set (abstract data type), Algebra over a field, Combinatorics

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