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• W4376278575 abstract "It is necessary to explore more accurate estimates of the infinity norm of the inverse of a matrix in both theoretical analysis and practical applications. This paper focuses on obtaining a tighter upper bound on the infinite norm of the inverse of Dashnic–Zusmanovich-type (DZT) matrices. The realization of this goal benefits from constructing the scaling matrix of DZT matrices and the diagonal dominant degrees of Schur complements of DZT matrices. The effectiveness and superiority of the obtained bounds are demonstrated through several numerical examples involving random variables. Moreover, a lower bound for the smallest singular value is given by using the proposed bound." @default.
• W4376278575 created "2023-05-13" @default.
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• W4376278575 date "2023-05-11" @default.
• W4376278575 modified "2023-10-18" @default.
• W4376278575 title "Schur Complement-Based Infinity Norm Bound for the Inverse of Dashnic-Zusmanovich Type Matrices" @default.
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• W4376278575 doi "https://doi.org/10.3390/math11102254" @default.
• W4376278575 hasPublicationYear "2023" @default.
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