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Nicely structured positive bases with maximal cosine measure
The properties of positive bases make them a useful tool in derivative-free optimization and an interesting concept in mathematics. The notion of the c...
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Calculating Characteristic Roots of Multi-Delayed Systems with Accumulation Points via a Definite Integral Method
Multi-delayed systems, especially the neutral ones, have infinitely many and complex distributed characteristic roots that are crucial for system...
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Perspectives on General Left-Definite Theory
In 2002, Littlejohn and Wellman developed a celebrated general left-definite theory for semi-bounded self-adjoint operators with many applications to...
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Some inequalities involving eigenvalues and positive linear maps
In this paper, we present some inequalities involving unital positive linear maps and extreme eigenvalues of Hermitian matrices. In addition, we...
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The difference between port-Hamiltonian, passive and positive real descriptor systems
The relation between passive and positive real systems has been extensively studied in the literature. In this paper, we study their connection to...
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\(C^*\) -Algebras and Completely Positive Maps
In the first two sections of this chapter, we briefly describe some basics of the Banach and the...
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Functions with Positive Differences on Convex Cones
We analyze the role played by functions with positive differences defined on convex cones. In particular, we study functions that satisfy linear...
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Maps on Positive Cones of C*-algebras
We prove that a surjective map (on the positive cones of unital C *-algebras) preserves the minimum spectrum values of harmonic means if and only if...
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On positively invariant polyhedrons for discrete-time positive linear systems
In this paper, necessary and sufficient conditions for the polyhedron set to be a positively invariant polyhedron of a discrete-time positive linear...
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Strictly Positive Definite Functions on the Space of Infinite Diagonal Matrices
In this paper, using a Bochner-type theorem, we establish a characterization of strictly positive definite functions on the topological direct limit...
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Partial trace inequalities for partial transpose of positive semidefinite block matrices
Li (Algebra 71:2823–2838, 2023) recently obtained several improvements on some partial trace inequalities for positive semidefinite block matrices....
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Global Controllability for Quasilinear Nonnegative Definite System of ODEs and SDEs
We consider exact and averaged control problem for a system of quasilinear ODEs and SDEs with a nonnegative definite symmetric matrix of the system....
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A generalized relaxed block positive-semidefinite splitting preconditioner for generalized saddle point linear system
In this paper, based on the block positive-semidefinite splitting (BPS) preconditioner studied recently and the relaxation technique, a generalized...
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Schoenberg’s Theory of Totally Positive Functions and the Riemann Zeta Function
This chapter is a short survey of some aspects and applications of Schoenberg’s work on totally positive functions. Totally positive functions arise...
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Existence of Positive Solutions for a Singular Hessian Equation with a Negative Augmented Term
In this paper, we focus on the existence of positive solutions for a singular Hessian equation with a negative augmented term. By finding more...
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Pseudospectra localizations for generalized tensor eigenvalues to seek more positive definite tensors
In this paper, we present the pseudospectrum for generalized tensor eigenvalues, and a set to locate this pseudospectrum. By the relations between...
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Calculating Radius of Robust Feasibility of Uncertain Linear Conic Programs via Semi-definite Programs
The radius of robust feasibility provides a numerical value for the largest possible uncertainty set that guarantees robust feasibility of an...
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Totally positive kernels, Pólya frequency functions, and their transforms
The composition operators preserving total non-negativity and total positivity for various classes of kernels are classified, following three themes....
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On Symmetric Matrices with One Positive Eigenvalue and the Interval Property of Some Matrix Classes
In this paper, totally nonnegative matrices, i.e., matrices having all their minors nonnegative, and matrix intervals with respect to the usual...
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On the positive definite solution of a class of pair of nonlinear matrix equations
We find some necessary and sufficient conditions for the existence of Hermitian positive definite solution of a pair of nonlinear matrix equations of...
