Singular M-matrices which may not have a nonnegative generalized inverse

• Autorzy: Agrawal N. Sushama , K. Premakumari , K.C. Sivakumar
• Języki publikacji: EN

Abstrakty

EN

A matrix A ∈ ℝn×n is a GM-matrix if A = sI − B, where 0 < ρ(B) ≤ s and B ∈WPFn i.e., both B and Bt have ρ(B) as their eigenvalues and their corresponding eigenvector is entry wise nonnegative. In this article, we consider a generalization of a subclass of GM-matrices having a nonnegative core nilpotent decomposition and prove a characterization result for such matrices. Also, we study various notions of splitting of matrices from this new class and obtain sufficient conditions for their convergence.

Słowa kluczowe

EN

Eventually nonnegative; Eventually positive; Perron-Frobenius property; Perron-Frobenius splitting; PFn; WPFn

Kategorie tematyczne

• 15A09: Matrix inversion, generalized inverses
• 15B48: Positive matrices and their generalizations; cones of matrices

• Wydawca: De Gruyter Open
• Czasopismo: Special Matrices
• Rocznik: 2014
• Tom: 2
• Numer: 1

Daty

otrzymano

2014-03-31

zaakceptowano

2014-09-04

online

2014-11-07

Twórcy

autor

Agrawal N. Sushama

• Ramanujan Institute of Advanced Study in Mathematics, University of Madras,
  Chennai,- 600005, India

autor

K. Premakumari

• Ramanujan Institute of Advanced Study in Mathematics, University of Madras,
  Chennai,- 600005, India

autor

K.C. Sivakumar

• Department of Mathematics, Indian Institute of Technology Madras, Chennai - 600 036, India

Bibliografia

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Identyfikatory

DOI

10.2478/spma-2014-0017