Nonnegative matrices which are equal to their Moore-Penrose generalized inverse are characterized.doi:10.1016/0024-3795(74)90042-1Abraham BermanElsevier Inc.Linear Algebra & Its ApplicationsA. Berman, Nonnegative matrices which are equal to their generalized inverse, Linear Algebra and its Applications...
A note on an inverse problem for nonnegative matrices - Loewy, London () Citation Context ...s are a very important subclass of inverse problems that arise in the context of mathematical modeling and parameter identi - cation. They have been studied extensively in the last 20 years, see e...
Generalizations of M-matrices are studied, including the new class of GM-matrices. The matrices studied are of the form sI-B with B having the Perron–Frobenius property, but not necessarily being nonnegative. Results for these classes of matrices are shown, which are analogous to those known...
Using graph-theoretic techniques, we study the spectra of irreducible NSNS matrices in normal form. Specifically, we show that such a matrix can have at most one nonnegative eigenvalue, and can have no nonreal eigenvalue z in the sector {z: |arg z| κ(n 1)}. We also derive results ...
Symmetric nonnegative inverse eigenvalue problemSpectrum of matrixPerron eigenvalueIn this paper, at first, for a given set of real numbers with only one positive number, and in continue for a given set of real numbers in special conditions, we construct a symmetric nonnegative matrix such that...
Determining the drivers of non-native plant invasions is critical for managing native ecosystems and limiting the spread of invasive species1,2. Tree invasions in particular have been relatively overlooked, even though they have the potential to transfor
prove that asquare matrix A invertible if A^{-1}=0 is not an eigenvalue of matrix A. Prove that given two m x n matrices A=[a_ij] and B= [b_ij] prove that A+B=B+A. Compute the inverse to the matrix A below Show that a...
A square matrix that does not have a complete basis of eigenvectors. Jordan canonical form A particular form of the upper triangular matrix, which is block-diagonalized filled with Jordan block matrices. Fibre bundles A mathematical structure composed of three topological spaces (total space, base ...
3.3.6Reducible matrices Asquare matrixAis reducible if its rows and columns can be permuted to bring it into the form: A=BCOD, whereBis a square matrix of sizeMbyM,Dis a square matrix of sizeLbyL,Cis a matrix of sizeMbyL, andOis zero matrix of sizeLbyM(M+L=N). This property allow...
The non-local generators X 1 , Y 0 , 1 in (22) do not generate simple local changes of the coordinates ( t , r ) , in contrast to all examples of Section 2. Finding a clear geometrical interpretation of the generators (22) remains an open problem. This meta-conformal symmetry algebr...