Upper Bound Estimation of the Infinity Norm for the Inverse of Strict α1-Nekrasov Matrices

doi:10.13438/j.cnki.jdzk.2025.06.003

Abstract

Abstract: A new class of non-singular H-matrices,strict α₁-Nekrasov matrices,is defined,and several methods for determining non-singular H-matrices are provided.By using the method of matrix splitting,combined with the estimation formula for the infinity norm of the inverse of Nekrasov matrix and properties of inequalities,an upper bound estimation for the infinity norm of the inverse of strictly α₁-Nekrasov matrix is provided.

Key words: α₁-Nekrasov matrix, matrix splitting, H-matrix, infinite norms, upper bound

YI Hong, MO Hongmin, HE Yongfang. Upper Bound Estimation of the Infinity Norm for the Inverse of Strict α₁-Nekrasov Matrices[J]. Journal of Jishou University(Natural Sciences Edition), 2025, 46(6): 15-23.

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Upper Bound Estimation of the Infinity Norm for the Inverse of Strict α₁-Nekrasov Matrices

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