k-Idempotency of linear combinations of an idempotent matrix and a tripotent matrix that commute

S. Krishnamoorthy and T. Rajagopalan ()
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S. Krishnamoorthy: Government Arts college (Autonomous)
T. Rajagopalan: University College of Engineering Villupuram

Indian Journal of Pure and Applied Mathematics, 2011, vol. 42, issue 2, 99-108

Abstract: Abstract A complete solution is established to the problem of characterizing all situations in which a linear combination C = c 1 A+c 2 B of an idempotent matrix A and a tripotent matrix B is k-idempotent. As a special case of this, a set of necessary and sufficient conditions for a linear combination C = c 1 A+c 2 B to be k-idempotent when A and B are idempotent matrices, is also studied in this paper.

Keywords: k-idempotent matrix; idempotent; tripotent; linear combination (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/s13226-011-0006-8

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