Results 1 to 10 of about 52 (51)
A recursive condition for the symmetric nonnegative inverse eigenvalue problem [PDF]
Revista Integración, 2017 In this paper we present a sufficient ondition and a necessary condition for Symmetri Nonnegative Inverse Eigenvalue Problem. This condition is independent of the existing realizability criteria.
Elvis Ronald Valero +2 more
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On new universal realizability criteria
Special Matrices, 2022 A list Λ={λ1,λ2,…,λn}\Lambda =\left\{{\lambda }_{1},{\lambda }_{2},\ldots ,{\lambda }_{n}\right\} of complex numbers is said to be realizable if it is the spectrum of an entrywise nonnegative matrix and is said to be universally realizable (UR), if it is
Arrieta Luis E., Soto Ricardo L.
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Assessing the credibility of the solutions of incomplete-data inverse problems
Physics Open, 2021 This paper proposes an approach to measure the credibility of solutions of inverse problems with incomplete or missing data, encountered in some physical problems.
Aydin M. Torkabadi, Esam M.A. Hussein
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Spectra inhabiting the left half-plane that are universally realizable
Special Matrices, 2021 Let Λ = {λ1, λ2, . . ., λn} be a list of complex numbers. Λ is said to be realizable if it is the spectrum of an entrywise nonnegative matrix. Λ is universally realizable if it is realizable for each possible Jordan canonical form allowed by Λ. Minc ([21]
Soto Ricardo L.
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Permutative universal realizability
Special Matrices, 2021 A list of complex numbers Λ is said to be realizable, if it is the spectrum of a nonnegative matrix. In this paper we provide a new sufficient condition for a given list Λ to be universally realizable (UR), that is, realizable for each possible Jordan ...
Soto Ricardo L. +2 more
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The core inverse and constrained matrix approximation problem
Open Mathematics, 2020 In this article, we study the constrained matrix approximation problem in the Frobenius norm by using the core inverse:||Mx−b||F=minsubjecttox∈ℛ(M),||Mx-b|{|}_{F}=\hspace{.25em}\min \hspace{1em}\text{subject}\hspace{.25em}\text{to}\hspace{1em}x\in ...
Wang Hongxing, Zhang Xiaoyan
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Positive entries of stable matrices [PDF]
, 2004 The question of how many elements of a real stable matrix must be positive is investigated. It is shown that any real stable matrix of order greater than 1 has at least two positive entries.
Rump, Siegfried +6 more
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Hard Thresholding Pursuit Algorithms: Number of Iterations [PDF]
, 2016 The Hard Thresholding Pursuit algorithm for sparse recovery is revisited using a new theoretical analysis. The main result states that all sparse vectors can be exactly recovered from compressive linear measurements in a number of iterations at most ...
Pawel Hitczenko +2 more
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Toeplitz nonnegative realization of spectra via companion matrices
Special Matrices, 2019 The nonnegative inverse eigenvalue problem (NIEP) is the problem of finding conditions for the existence of an n × n entrywise nonnegative matrix A with prescribed spectrum Λ = {λ1, . . ., λn}.
Collao Macarena +2 more
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Analytic sensing: Noniterative retrieval of point sources from boundary measurements [PDF]
, 2009 . We consider the problem of locating point sources in the planar domain from overde-termined boundary measurements of solutions of Poisson’s equation. In this paper, we propose a novel technique, termed “analytic sensing”, that combines the ap-plication
Kandaswamy, D. +5 more
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