Eigenvalue problem phase 1: $\boldsymbol{A}\rightarrow \boldsymbol{H},,\left( \boldsymbol{A}\sim \boldsymbol{H} \right)$, $\boldsymbol{H}$ is a upper Hessenberg ...
ABSTRACT: Given a list of real numbers ∧={λ1,…, λn}, we determine the conditions under which ∧will form the spectrum of a dense n × n singular symmetric matrix. Based on a solvability lemma, an ...
ABSTRACT: The paper contains two parts. First, by applying the results about the eigenvalue perturbation bounds for Hermitian block tridiagonal matrices in paper [1], we obtain a new efficient method ...
Abstract: This book contains a detailed discussion of the matrix operation, its properties, and its applications in finding the solution of linear equations and determinants. Linear algebra is a ...
Numerical linear algebra for quaternions — fast, practical, and well‑tested. QuatIca was inspired by the pioneering work in quaternion linear algebra, particularly the QTFM (Quaternion Toolbox for ...
AI systems are already beginning to help with research that only a handful of humans understand in the first place. In a ...
Abstract. In the present paper we are interested in the study of the distance Laplacian eigenvalues of a connected graph with fixed order n and chromatic number χ. We prove lower bounds on the ...
Abstract: The stability of two-dimensional (2-D) linear systems, continuous, discrete, and mixed (hybrid) cases with real or complex coefficients, is considered in this article using a single ...
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