Title of article
Rank equalities for idempotent and involutary matrices
Author/Authors
Yongge Tian، نويسنده , , George P. H. Styan، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2001
Pages
17
From page
101
To page
117
Abstract
We establish several rank equalities for idempotent and involutary matrices. In particular, we obtain new formulas for the rank of the difference, the sum, the product and the commutator of idempotent or involutary matrices. Extensions to scalar-potent matrices are also included. Our matrices are complex and are not necessarily Hermitian.
Keywords
Rank additivity , Rank equality , Partitioned matrix , Rank inequality , Rank of a difference , Rank of a product , Rank of a sum , Ranksubtractivity , Commutator , Scalar-potent matrix , Generalized inverse , Idempotent matrix , Involutory matrix , Oblique projector , Commutativity , Schur complement , Rank of the commutator , Orthogonal projector
Journal title
Linear Algebra and its Applications
Serial Year
2001
Journal title
Linear Algebra and its Applications
Record number
823329
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