Let P , Q ∈ C n × n be two idempotent matrices such that P Q ≠ Q P and let a , b ∈ C ∖ { 0 } be such that a P + b Q is diagonalizable. If λ ∈ σ ( a P + b Q ) ∖ ...
In this paper, we shall study the spectrum of several matrices depending on two idempotents. A related result was deduced in [6, Theorem 2.8]. When the ...
They depend on a classification of the nuclei into two classes, the first representing nuclei in groups like -CH3, the second containing all others. The ...
The spectrum of matrices depending on two idempotents · Xiaoji Liu, Julio Benítez · Published in Applied Mathematics Letters 1 October 2011 · Mathematics.
Let C m×n denote the set of complex m × n matrices. A matrix P is said to be idempotent when P 2 = P. Furthermore, a matrix P is said to be an orthogonal ...
Título: The spectrum of matrices depending on two idempotents ; Autor: Liu, Xiaoji; Benítez López, Julio ; Resumen: Let P and Q be two complex matrices satisfying ...
Feb 6, 2013 · "Squaring a matrix does not changes the eigenvectors" means that if u is an eigenvector of B, then it is also an eigenvector of B2.
Nov 7, 2024 · In the case of two idempotent matrices P , Q ∈ C n × n , this paper addresses the problem of generalized invertibility in alg ( I n , P , Q ) ...
Sep 11, 2015 · Idempotents, es_ES. dc.subject.classification, MATEMATICA APLICADA, es_ES. dc.title, The spectrum of matrices depending on two idempotents ...
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If A ∈ Cn×n is an idempotent matrix, then spec(A) ⊆ {0, 1}. Proof. Let A ... Let A ∈ Cm×m and B ∈ Cn×n be two matrices that have the eigenvalues λ1 ...