Characterization and properties of (Pσ, Q) symmetric and co-symmetric matrices
William F. Trench
Special Matrices, Tome 2 (2014), / Harvested from The Polish Digital Mathematics Library
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Let P ∈ ℂmxm and Q ∈ ℂn×n be invertible matrices partitioned as P = [P0 P1 · · · Pk−1] and Q = [Q0 Q1 · · · Qk−1], with P ℓ ∈ ℂm×mℓ and Qℓ ∈ ℂn×nℓ , 0 ≤ ℓ ≤ k − 1. Partition P−1 and Q−1 as [...] where P̂ℓ ∈ ℂmℓ ×m, Q̂ℓ ∈ ℂnℓ×n , P̂ℓPm = δℓmImℓ , and Q̂ℓQm = δℓmInℓ , 0 ≤ ℓ, m ≤ k − 1. Let Zk = {0, 1, . . . , k − 1}. We study matrices A = [...] Pσ(ℓ)FℓQℓ and B = [...] QℓGℓPσ(ℓ), where σ : Zk → Zk. Special cases: A = [...] and B = [...] , where Aℓ ∈ ℂd1×d2 and Bℓ ∈ ℂd2×d1, 0 ≤ ℓ ≤ k − 1.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:266935 
@article{bwmeta1.element.doi-10_2478_spma-2014-0011,
     author = {William F. Trench},
     title = {Characterization and properties of (P$\sigma$, Q) symmetric and co-symmetric matrices},
     journal = {Special Matrices},
     volume = {2},
     year = {2014},
     zbl = {1310.15079},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_spma-2014-0011}
}

William F. Trench. Characterization and properties of (Pσ, Q) symmetric and co-symmetric matrices. Special Matrices, Tome 2 (2014) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_spma-2014-0011/

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