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Extremal inverse eigenvalue problem for matrices described by a connected unicyclic graph
In this paper, we deal with the construction of symmetric matrix whose corresponding graph is connected and unicyclic using some pre-assigned...
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Adaptive Parameter Alternating Direction Algorithm for Centrosymmetric Solutions of a Class of Generalized Coupled Sylvester-transpose Matrix Equations
We propose an adaptive parameter alternating direction algorithm to solve a class of generalized coupled Sylvester-transpose matrix equations over...
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A Minimum Residual Based Gradient Iterative Method for a Class of Matrix Equations
In this paper, we present a minimum residual based gradient iterative method for solving a class of matrix equations including Sylvester matrix...
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Some New Characterizations of Generalized Inverses
In this paper, we characterize the Moore–Penrose inverse of a square matrix based on the canonical polar decomposition by using an invertible matrix...
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A System of Sylvester-like Quaternion Tensor Equations with an Application
This paper establishes the solvability conditions and an expression of the exact solution to a system of three Sylvester-like quaternion tensor...
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Semi-active dam** optimization of vibrational systems using the reduced basis method
In this article, we consider vibrational systems with semi-active dam** that are described by a second-order model. In order to minimize the...
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Function Theory from Tensor Algebras
We survey connections between our work on tensor algebras over \(C^*\)...
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Generalized Schröder Matrices Arising from Enumeration of Lattice Paths
We introduce a new family of generalized Schröder matrices from the Riordan arrays which are obtained by counting of the weighted lattice paths with...
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The weak group matrix
In this paper,we introduce the weak group matrix defined by the one commutable with its weak group inverse, and consider properties and...
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Combined error estimates for local fluctuations of SPDEs
In this work, we study the numerical approximation of local fluctuations of certain classes of parabolic stochastic partial differential equations...
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Matrix Mixed Mean Inequalities
The main goal of this article is to present new matrix inequalities that interpolate between different kinds of well known inequalities for positive...
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Newton’s method for the parameterized generalized eigenvalue problem with nonsquare matrix pencils
The l parameterized generalized eigenvalue problems for the nonsquare matrix pencils, proposed by Chu et al.in 2006, can be formulated as an...
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Balanced truncation model order reduction in limited time intervals for large systems
In this article we investigate model order reduction of large-scale systems using time-limited balanced truncation, which restricts the well known...
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Solving Symmetric Algebraic Riccati Equations with High Order Iterative Schemes
We solve symmetric algebraic Riccati equation using efficient high-order iterative schemes which improve the speed of convergence of others widely...
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Generalization of the Brauer Theorem to Matrix Polynomials and Matrix Laurent Series
Given a square matrix A, Brauer’s theorem [Duke Math. J. 19 (1952), 75–91] shows how to modify one single eigenvalue of A via a rank-one...
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Sums of three quadratic endomorphisms of an infinite-dimensional vector space
Let V be an infinite-dimensional vector space over a field. In a previous article [5], we have shown that every endomorphism of V splits into the sum...