Results 1 to 10 of about 56 (48)
Nonnegative Inverse Elementary Divisors Problem for Lists with Nonnegative Real Parts [PDF]
Mathematics, 2020 In this paper, sufficient conditions for the existence and construction of nonnegative matrices with prescribed elementary divisors for a list of complex numbers with nonnegative real part are obtained, and the corresponding nonnegative matrices are ...
Hans Nina +3 more
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Spectra universally realizable by doubly stochastic matrices
Special Matrices, 2018 A list of complex numbers Λ = { λ1, . . . , λn} is said to be realizable if it is the spectrum of an entrywise nonnegative matrix, and universally realizable if there exists a nonnegative matrix with spectrum Λ for each Jordan canonical form associated ...
Collao Macarena +2 more
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Nonnegative Inverse Elementary Divisors Problem
, 2016 Inverse eigenvalue problems appear in a wide variety of areas in the pure and applied mathematics. They have to do with the construction of a certain matrix from some spectral information. Associated with any inverse eigenvalue problem, there are two important issues: the existence of a solution and the construction of a solution matrix. The purpose of
Ricardo L. Soto
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Inverse elementary divisor problem for nonnegative matrices [PDF]
Proceedings of the American Mathematical Society, 1981 Given a diagonalizable positive matrix A A , there exists a positive matrix with the same spectrum as
Henryk Minc
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Corrigendum to “Spectra universally realizable by doubly stochastic matrices”
Special Matrices, 2023 We correct an error in the statement and the proof of Theorem 2.1 and Corollary 2.1 in our previous study [Spec. Matrices 6 (2018), 301–309], Section 2: On nonnegative matrices similar to positive matrices.
Collao Macarena +2 more
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Nonnegative matrices with prescribed elementary divisors
, 2008 The inverse elementary divisor problem for nonnegative matrices asks for necessary and sufficient conditions for the existence of a nonnegative matrix with prescribed elementary divisors. In this work a Brauer type perturbation result is introduced. This
Soto, Ricardo L. +2 more
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Automatic differentiation of uncertainties: an interval computational differentiation for first and higher derivatives with implementation. [PDF]
PeerJ Comput Sci, 2023 Dawood H, Megahed N.
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, 2015 碩士一般方陣的平方根問題，在許多現有的文獻中已經可以找到答案。 但並無太多文獻上的結果提到非負矩陣之非負平方根的存在性問題。本文主要探討，非負矩陣在甚麼條件下擁有非負平方根。首先討論並且完整刻劃2階非負矩陣之存在性與唯一性問題。我們也得出一些結果知道在甚麼情況下，一個有向圖會有平方根，從而可以藉由非負矩陣所伴隨的有向圖，判斷非負矩陣是否有非負平方根。本文主要探討的有向圖則是路徑、迴圈、置換有向圖以及偶圖。此外 ...
黃鵬瑞; Huang, Peng-Rui
core
Exact and Robust Reconstructions of Integer Vectors Based on Multidimensional Chinese Remainder Theorem (MD-CRT). [PDF]
IEEE Trans Signal Process, 2020 Xiao L, Xia XG, Wang YP.
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Inverse elementary divisor problems for nonnegative matrices [PDF]
Operators and Matrices, 2011 openaire +1 more source