Results 11 to 20 of about 6,942 (263)
A Test Matrix for an Inverse Eigenvalue Problem [PDF]
Journal of Applied Mathematics, 2014 We present a real symmetric tridiagonal matrix of order n whose eigenvalues are {2k}k=0n-1 which also satisfies the additional condition that its leading principle submatrix has a uniformly interlaced spectrum, {2l+1}l=0n-2.
G. M. L. Gladwell +2 more
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The Recursive Inverse Eigenvalue Problem [PDF]
SIAM Journal on Matrix Analysis and Applications, 2000 The following recursive inverse eigenvalue problem of order \(n\) (\(\mathbf{RIEP}(n)\)) is investigated: Let \(F\) be a field, let \(s_1,\dots,s_n\in F\), and \(l_1,r_1\in F^{1\times 1}\), \(l_2,r_2\in F^{2\times 2},\dots,l_n,r_n\in F^{n\times n}\). Construct a matrix \(A\in F^{n\times n}\) such that \(l_i^{\top}A\langle i\rangle=s_il_i^{\top}\), \(A ...
Daniel Hershkowitz
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The nonnegative inverse eigenvalue problem
Linear Algebra and Its Applications, 2004 This is a survey paper on the inverse eigenvalue problem which in addition presents new results on the spectra of \(5\times 5\) symmetric nonnegative matrices.
Sivaram K Narayan
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The Diagonalizable Nonnegative Inverse Eigenvalue Problem
Special Matrices, 2018 In this articlewe provide some lists of real numberswhich can be realized as the spectra of nonnegative diagonalizable matrices but which are not the spectra of nonnegative symmetric matrices.
Cronin Anthony G, Laffey Thomas J.
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The inverse eigenvalue problem for linear trees [PDF]
Discrete Mathematics, 2022 We prove the sufficiency of the Linear Superposition Principle for linear trees, which characterizes the spectra achievable by a real symmetric matrix whose underlying graph is a linear tree. The necessity was previously proven in 2014. This is the most general class of trees for which the inverse eigenvalue problem has been solved.
Charles R. Johnson, Tanay V. Wakhare
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Extremal inverse eigenvalue problem for irreducible acyclic matrices
Applied Mathematics in Science and Engineering, 2022 In this paper, we study the inverse eigenvalue problem of constructing symmetric matrices whose graph is a tree, i.e. of constructing irreducible acyclic matrices from given eigendata consisting of the smallest and largest eigenvalues of their leading ...
Debashish Sharma, Bhaba Kumar Sarma
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Inverse Eigenvalue Problem and Least-Squares Problem for Skew-Hermitian {P,K + 1}-Reflexive Matrices
Journal of Mathematics, 2022 This paper involves related inverse eigenvalue problem and least-squares problem of skew-Hermitian {P,k + 1}-reflexive(antireflexive) matrices and their optimal approximation problems.
Chang-Zhou Dong, Hao-Xue Li
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A Note on NIEP for Leslie and Doubly Leslie Matrices
Mathematics, 2020 The nonnegative inverse eigenvalue problem (NIEP) consists of finding necessary and sufficient conditions for the existence of a nonnegative matrix with a given list of complex numbers as its spectrum.
Luis Medina, Hans Nina, Elvis Valero
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ADAPTIVE SOLUTION OF THE NEUTRON DIFFUSION EQUATION WITH HETEROGENEOUS COEFFICIENTS USING THE MIXED FINITE ELEMENT METHOD ON STRUCTURED MESHES [PDF]
EPJ Web of Conferences, 2021 The neutron transport equation can be used to model the physics of the nuclear reactor core. Its solution depends on several variables and requires a lot of high precision computations.
Do Minh-Hieu +2 more
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Open Mathematics, 2020 Left and right inverse eigenpairs problem is a special inverse eigenvalue problem. There are many meaningful results about this problem. However, few authors have considered the left and right inverse eigenpairs problem with a submatrix constraint.
Li Fan-Liang
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