An Extension of Several Essential Numerical Radius Inequalities of 2x2 Off-Diagonal Operator Matrices
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Date
2020
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Springer
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GOLD
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Abstract
In this work, we provide upper and lower bounds for the numerical radius of an nxn off-diagonal operator matrix, which extends some results by Abu-Omar and Kittaneh (Stud. Math. 216:69-75, 2013; Linear Algebra Appl. 468:18-26, 2015; Rocky Mt. J. Math. 45(4):1055-1065, 2015), and Paul and Bag (Appl. Math. Comput. 222:2731-2943, 2013).
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Keywords
Numerical Radius, Off-Diagonal Part, Operator Matrix, 47A30, 47A12, 47A63, 47B33, Composite material, Operator matrix, Matrix (chemical analysis), Geometry, Diagonal matrix, Diagonal, Operator (biology), Matrix Inequalities and Geometric Means, Mathematical analysis, Biochemistry, Gene, Operator Inequalities, Differential equation, Computer security, QA1-939, FOS: Mathematics, Off-diagonal part, Linear algebra, Matrix Algorithms and Iterative Methods, Foundations of Geometric Mathematics, Numerical radius, Algebra over a field, Extension (predicate logic), RADIUS, Applied Mathematics, Pure mathematics, Numerical Linear Algebra, Computer science, Materials science, Programming language, Chemistry, Computational Theory and Mathematics, Combinatorics, Computer Science, Physical Sciences, Repressor, Geometry and Topology, Transcription factor, Mathematics, Ordinary differential equation, Matrix Computations, Norms (inequalities, more than one norm, etc.) of linear operators, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), Numerical range, numerical radius, off-diagonal part, operator matrix, Operator matrices, numerical radius
Fields of Science
02 engineering and technology, 0102 computer and information sciences, 01 natural sciences, 0103 physical sciences, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics
Citation
Al-Dolat, Mohammed...at all (2020). "An extension of several essential numerical radius inequalities of 2x2 off-diagonal operator matrices", Advances in Difference Equations, Vol. 2020, No. 1.
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Q1
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1
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Advances in Difference Equations
Volume
2020
Issue
1
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