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FilomatVolume 37, Issue 13, 2023, Pages 4335-4350

On Π−Nekrasov matrices(Article)(Open Access)

  • Arsić, D.,
  • Nedović, M.
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  • Department for Fundamental Sciences, Faculty of Technical Sciences, University of Novi Sad, Trg D. Obradovića 6, Novi Sad, 21000, Serbia

Abstract

In this paper, we consider Π−Nekrasov matrices, a generalization of {P1, P2 }−Nekrasov matrices obtained by introducing the set Π = {P1, P2, …, Pm} 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. © 2023, University of Nis. All rights reserved.

Author keywords

Infinity norm boundsLinear complementarity problemNekrasov matricesPermutations

Funding details

Funding sponsor Funding number Acronym
Ministarstvo Prosvete, Nauke i Tehnološkog RazvojaNo.451-03-68/2022-14/200156MPNTR

  • 1

    2020 Mathematics Subject Classification. 15A18; 15B99 Keywords. Linear complementarity problem, Nekrasov matrices, Permutations, Infinity norm bounds. Received: 11 May 2022; Revised: 09 October 2022; Accepted: 25 January 2023 Communicated by Marko Petković This work is partly supported by the Ministry of Education, Science and Technological Development of Serbia (Inovativna naucˇna i umetnicˇka istrazˇivanja iz domena delatnosti Fakulteta tehnicˇkih nauka, Grant No.451-03-68/2022-14/200156). Email addresses: [email protected] (Dunja Arsić), [email protected] (Maja Nedović)

  • ISSN: 03545180
  • Source Type: Journal
  • Original language: English
  • DOI: 10.2298/FIL2313335A
  • Document Type: Article
  • Publisher: University of Nis


© Copyright 2023 Elsevier B.V., All rights reserved.

Cited by 1 document

Nedović, M. , Šanca, E.
Partition−Nekrasov type matrices: A new subclass of nonsingular H−matrices and applications
(2024) Filomat
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