Extremal inverse eigenvalue problem for symmetric doubly arrow matrices

Liu, Zhibing; Wang, Kanmin; Xu, Changjin

doi:10.1007/s12190-013-0716-7

Cited by 4 publications

(1 citation statement)

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“…They are popular subject of research related with mathematics, physics and engineering. Some important problems like computing eigenvalues and eigenvectors of arrowhead matrices [9,2,21], solving inverse eigenvalue problems [15,28,25,24], computing the inverse of arrowhead matrices [7,26,4], and solving symmetric arrowhead systems [5] have been considered by various authors over the last four decades. Arrowhead matrices are often an essential tool for the computation of the eigenvalue problems for large and sparse or tridiagonal matrices [22,6,8,29,23].…”

Section: Introductionmentioning

confidence: 99%

Linear Systems of Differential Equations in Arrowhead Form

Jovovic

2021

FU Math Inform

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This paper deals with different approaches for solving linear systems of the first order differential equations with the system matrix in the symmetric arrowhead form.Some needed algebraic properties of the symmetric arrowhead matrix are proposed.We investigate the form of invariant factors of the arrowhead matrix.Also the entries of the adjugate matrix of the characteristic matrix of the arrowhead matrix are considered. Some reductions techniques for linear systems of differential equations with the system matrix in the arrowhead form are presented.

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