Geodesic
On П−Nekrasov matrices
Filomat, Tome 37 (2023) no. 13, p. 4335

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DOI

In this paper, we consider Π−Nekrasov matrices, a generalization of {P 1 , P 2 }−Nekrasov matrices obtained by introducing the set Π = {P 1 , P 2 , ..., P m } of m simultaneous permutations of rows and columns of the given matrix. For point-wise and block Π−Nekrasov matrices we give infinity norm bounds for the inverse. For Π−Nekrasov B−matrices, obtained through a special rank one perturbation, we present main results on infinity norm bounds for the inverse and error bounds for linear complementarity problems. Numerical examples illustrate the benefits of new bounds.
DOI : 10.2298/FIL2313335A
Classification : 15A18, 15B99
Keywords: Linear complementarity problem, Nekrasov matrices, Permutations, Infinity norm bounds 
Dunja Arsić; Maja Nedović. On П−Nekrasov matrices. Filomat, Tome 37 (2023) no. 13, p. 4335 . doi: 10.2298/FIL2313335A
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     author = {Dunja Arsi\'c and Maja Nedovi\'c},
     title = {On {{\CYRP}\ensuremath{-}Nekrasov} matrices},
     journal = {Filomat},
     pages = {4335 },
     year = {2023},
     volume = {37},
     number = {13},
     doi = {10.2298/FIL2313335A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2313335A/}
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