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Singular values inequalities via matrix monotone functions
This paper uses matrix monotone functions as a key tool to obtain several relations among the singular values of certain celebrated matrix...
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S-Nodes, Factorisation of Spectral Matrix Functions and Corresponding Inequalities
Using factorisation and Arov–Krein inequality results, we derive important inequalities (in terms of S -nodes) in interpolation problems.
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Degenerate Elliptic Operators and Kato’s Inequality
For all \(k,l \in \{ 1,\ldots ,d \} \) let...
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On the unconstrained optimization reformulations for a class of stochastic vector variational inequality problems
In this paper, a class of stochastic vector variational inequality (SVVI) problems are considered. By employing the idea of a D-gap function, the...
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A direct proof of the Sharp Gårding inequality for symbols with limited smoothness
We give a proof of the (possibly optimal) Sharp Gårding inequality for system operators with symbol of limited smoothness directly from the original...
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From the Brunn-Minkowski Inequality to a Class of Generalized Poincaré-Type Inequalities for Torsional Rigidity
In this paper, we establish a class of generalized Poincaré-type inequalities for torsional rigidity on the boundary of a convex body of class
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Observability Inequality from Measurable Sets and the Shape Design Problem for Stochastic Parabolic Equations
The primary objective of this paper is to directly establish the observability inequality for stochastic parabolic equations from measurable sets. In...
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Relaxed Inertial Methods for Solving Split Variational Inequality Problems Without Product Space Formulation
Many methods have been proposed in the literature for solving the split variational inequality problem. Most of these methods either require that...
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Strongly convex matrix functions
In this article, we study strongly convex matrix functions and the strong Davis-Sherman condition to see their relations, corresponding to those of...
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Lower Bounds for Column Matrix Approximations
AbstractWe show a connection between lower and upper bounds on the column matrix approximation accuracy and the bounds on the norms of the...
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Further bounds for the spread of a matrix
The spread of a matrix is defined as the maximum absolute value of the difference between any two eigenvalues of that matrix. In this work, we give a...
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Robust and continuous metric subregularity for linear inequality systems
This paper introduces two new variational properties, robust and continuous metric subregularity, for finite linear inequality systems under data...
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Equivalence Theorem for Absolute Matrix Summability Methods
AbstractIn this paper, we obtain necessary and sufficient conditions for the equivalence of two matrix summability methods. Some known results are...
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Matrix Hölder-McCarthy inequality via matrix geometric means
In this paper, by virtue of an expression of matrix geometric means for positive semidefinite matrices via the Moore-Penrose inverse, we show matrix...
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On a supercritical k-Hessian inequality of Trudinger–Moser type and extremal functions
We establish a supercritical Trudinger–Moser type inequality for the k -Hessian operator on the space of the k -admissible radially symmetric functions
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Khasminskii’s Theorem for the Kolmogorov Equation with Partially Degenerate Diffusion Matrix
AbstractThe stationary Kolmogorov equation with partially degenerate diffusion matrix and discontinuous drift coefficient is studied. Sufficient...
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On the Probability of Generating a Primitive Matrix
Given a k × n integer primitive matrix
A (i.e., a matrix can be extended to an n × n unimodular matrix over the integers) with the maximal absolute...