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The NIEP (Q4973490)

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scientific article; zbMATH DE number 7137813

Language	Label	Description	Also known as
English	The NIEP	scientific article; zbMATH DE number 7137813

Statements

scholarly article

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The NIEP (English)

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zbMATH Open document ID

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10.1007/978-3-319-72449-2_10

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Charles R. Johnson

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Pietro Paparella

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Carlos Marijuán

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Miriam Pisonero

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Operator Theory, Operator Algebras, and Matrix Theory

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publication date

27 November 2019

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full work available at URL

https://arxiv.org/abs/1703.10992

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http://uvadoc.uva.es/handle/10324/35975

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

nonnegative matrices

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nonnegative inverse eigenvalue problem (NIEP)

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symmetric realizability

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MaRDI profile type

MaRDI publication profile

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A geometrical representation of the spectra of four dimensional nonnegative matrices

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A Note on Eigenvalues Location for Trace Zero Doubly Stochastic Matrices

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Functions Preserving Nonnegativity of Matrices

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On the nonnegative eigenvalue problem

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On nonnegative matrices similar to positive matrices

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On the boundary of the set of real spectra of nonnegative matrices

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Negativity compensation in the nonnegative inverse eigenvalue problem

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A unified view on compensation criteria in the real nonnegative inverse eigenvalue problem

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The spectra of nonnegative matrices via symbolic dynamics

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Limits for the characteristic roots of a matrix. IV. Applications to stochastic matrices

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Spectra of digraphs

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On spectra perturbation and elementary divisors of positive matrices

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On elementary divisors perturbation of nonnegative matrices

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Constructing Symmetric Nonnegative Matrices with Prescribed Eigenvalues by Differential Equations

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Some results in the theory of nonnegative matrices

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An inequality for the spectra of nonnegative matrices

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Nonnegative inverse elementary divisors problem in the left half plane

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Cyclic polygons, roots of polynomials with decreasing nonnegative coefficients, and eigenvalues of stochastic matrices

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The nonnegative inverse eigenvalue problem.

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Constructing new realisable lists from old in the NIEP

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Connecting sufficient conditions for the symmetric nonnegative inverse eigenvalue problem

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Orthogonal bases that leads to symmetric nonnegative matrices

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On sets of eigenvalues of matrices with prescribed row sums and prescribed graph

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Eigenvalues of nonnegative symmetric matrices

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On an inverse problem for nonnegative and eventually nonnegative matrices

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On the eigenvalues of non-negative Jacobi matrices

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Spanning tree invariants, loop systems and doubly stochastic matrices

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Perturbing non-real eigenvalues of non-negative real matrices

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An inverse eigenvalue problem for nonnegative matrices

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Eigenvalues of nonnegative matrices

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$M$-matrices satisfy Newton’s inequalities

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The inverse eigenvalue problem for symmetric doubly stochastic matrices.

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A new statement about the theorem determining the region of eigenvalues of stochastic matrices

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An inclusion region for the field of values of a doubly stochastic matrix based on its graph

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Row Stochastic Matrices Similar to Doubly Stochastic Matrices

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Complex eigenvalues of a non-negative matrix with a specified graph II

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The real and the symmetric nonnegative inverse eigenvalue problems are different

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Matrices and spectra satisfying the Newton inequalities

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Symmetric nonnegative realizability via partitioned majorization

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Ruling out certain 5-spectra for the symmetric nonnegative inverse eigenvalue problem

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Perron spectratopes and the real nonnegative inverse eigenvalue problem

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A matricial view of the Karpelevič theorem

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Persymmetric and bisymmetric nonnegative inverse eigenvalue problem

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Matrices similar to a positive or essentially positive matrix

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Complex eigenvalues of a non-negative matrix with a specified graph

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The spectra of nonnegative integer matrices via formal power series

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A note on the convexity of the realizable set of eigenvalues for nonnegative symmetric matrices

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A constructive version of the Boyle-Handelman theorem on the spectra of nonnegative matrices

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Nonnegative Matrices That Are Similar to Positive Matrices

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Power series with positive coefficients arising from the characteristic polynomials of positive matrices

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A refinement of an inequality of Johnson, Loewy and London on nonnegative matrices and some applications

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A characterization of trace zero nonnegative \(5\times 5\) matrices

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Nonnegative realization of spectra having negative real parts

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Construction of nonnegative symmetric matrices with given spectrum

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On a classic example in the nonnegative inverse eigenvalue problem

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Nonnegatively realizable spectra with two positive eigenvalues

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Resolution of the symmetric nonnegative inverse eigenvalue problem for matrices subordinate to a bipartite graph

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The four-dimensional Perfect-Mirsky Conjecture

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On the symmetric doubly stochastic inverse eigenvalue problem

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A note on an inverse problem for nonnegative matrices

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The symmetric nonnegative inverse eigenvalue problem for \(5 \times 5\) matrices

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A necessary condition for the spectrum of nonnegative symmetric \(5\times 5\) matrices

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On sufficient conditions for the RNIEP and their margins of realizability

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A map of sufficient conditions for the real nonnegative inverse eigenvalue problem

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A map of sufficient conditions for the symmetric nonnegative inverse eigenvalue problem

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On a conjecture about the eigenvalues of doubly stochastic matrices

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Inverse Elementary Divisor Problem for Nonnegative Matrices

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Inverse elementary divisors problem for doubly stochastic matrices<sup>†</sup>

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Results and problems in the theory of doubly-stochastic matrices

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An inverse problem for symmetric doubly stochastic matrices

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A note on the boundary of the set where the decreasingly ordered spectra of symmetric doubly stochastic matrices Lie

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Realizing Suleimanova-type Spectra via Permutative Matrices

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Methods of constructing certain stochastic matrices

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Methods of constructing certain stochastic matrices. II

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Spectral properties of doubly-stochastic matrices

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The Distribution of Positive Elements in Doubly-Stochastic Matrices

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An inverse eigenvalue problem for symmetric and normal matrices

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An inequality for nonnegative matrices and the inverse eigenvalue problem

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Existence and construction of nonnegative matrices with complex spectrum

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Guo perturbation for symmetric nonnegative circulant matrices

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A note on eigenvalues of nonnegative matrices

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The inverse eigenvalue problem for nonnegative matrices

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Construction of nonnegative matrices and the inverse eigenvalue problem

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Existence and construction of nonnegative matrices with prescribed spectrum

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REALIZABILITY BY SYMMETRIC NONNEGATIVE MATRICES<A HREF="#tit">*</A>

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Realizability criterion for the symmetric nonnegative inverse eigenvalue problem

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Linear Algebra - Theorems and Applications

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A family of realizability criteria for the real and symmetric nonnegative inverse eigenvalue problem

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On the comparison of some realizability criteria for the real nonnegative inverse eigenvalue problem

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Nonnegative matrices with prescribed elementary divisors

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Nonnegative matrices with prescribed spectrum and elementary divisors

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Applications of a Brauer theorem in the nonnegative inverse eigenvalue problem

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On nonnegative realization of partitioned spectra

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Symmetric nonnegative realization of spectra

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Nonnegative realization of complex spectra

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Constructing symmetric nonnegative matrices

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A characterization of trace zero symmetric nonnegative \(5\times 5\) matrices

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The nonnegative inverse eigenvalue problem from the coefficients of the characteristic polynomial. EBL digraphs

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