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Inverse \(M\)-matrices. II - MaRDI portal

Inverse \(M\)-matrices. II (Q551242)

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scientific article; zbMATH DE number 5924511

Language	Label	Description	Also known as
English	Inverse \(M\)-matrices. II	scientific article; zbMATH DE number 5924511

Statements

scholarly article

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Inverse \(M\)-matrices. II (English)

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Ronald L. Smith

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Charles R. Johnson

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Linear Algebra and its Applications

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publication date

15 July 2011

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zbMATH Keywords

\(M\)-matrix

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inverse \(M\)-matrix

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path product matrix

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diagonal scaling

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determinantal inequalities

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matrix completion problem

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MaRDI profile type

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full work available at URL

https://doi.org/10.1016/j.laa.2011.02.016

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On functions that preserve M-matrices and inverse M-matrices

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Subdirect sums of nonsingular M-matrices and of their inverses

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Proof of a conjecture concerning the Hadamard powers of inverse \(M\)-matrices

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Inequalities for \(M\)-matrices and inverse \(M\)-matrices

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A lower bound for the minimum eigenvalue of the Hadamard product of matrices

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An Identity for the Schur Complement of a Matrix

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The Hadamard core of the totally nonnegative matrices

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Hadamard Functions of Inverse <i>M</i>-Matrices

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Ultrametric sets in Euclidean point spaces

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Some characterizations of symmetric inverse \(M\)-matrices

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Special ultrametric matrices and graphs

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Notes on inverse M-matrices

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A trace inequality for M-matrices and the symmetrizability of a real matrix by a positive diagonal matrix

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An inequality for the Hadamard product of an M-matrix and an inverse M- matrix

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A characterization of the closure of inverse M-matrices

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Some connections between the Drazin inverse, P-matrices, and the closure of inverse M-matrices

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Classes of products of M-matrices and inverse M-matrices

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Diagonally dominant matrices

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$M$-matrices satisfy Newton’s inequalities

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Matrix Analysis

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Tridiagonal and upper triangular inverse M-matrices

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The Schur complement and the inverse M-matrix problem

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A Hadamard product involving N-matrices

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Inverse M-matrices

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Closure properties of certain positivity classes of matrices under various algebraic operations

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Generalized Matrix Function Inequalities on M-Matrices

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Matrices and spectra satisfying the Newton inequalities

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Rectangular submatrices of inverse \(\mathcal M\)-matrices and the decomposition of a positive matrix as a sum

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Successively ordered elementary bidiagonal factorization

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Matrix Classes That Generate All Matrices with Positive Determinant

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The completion problem for \(M\)-matrices and inverse \(M\)-matrices

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The symmetric inverse \(M\)-matrix completion problem

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Path product matrices

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Almost principal minors of inverse \(M\)-matrices

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Intervals of inverse \(M\)-matrices

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Positive, path product, and inverse \(M\)-matrices

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Path Product Matrices and Eventually Inverse M‐matrices

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Matrices with a transitive graph and inverse M-matrices

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On the Inverse M-Matrix Problem for Real Symmetric Positive-Definite Toeplitz Matrices

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Totally Nonnegative, <i>M</i>-, and Jacobi Matrices

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On inverse M-matrices

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New lower bounds on eigenvalue of the Hadamard product of an \(M\)-matrix and its inverse

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On the inverse M-matrix problem for (0,1)-matrices

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Nonnegative Matrices whose Inverses are M-Matrices

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Uncoupling the Perron eigenvector problem

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Stochastic Complementation, Uncoupling Markov Chains, and the Theory of Nearly Reducible Systems

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Inverse of Strictly Ultrametric Matrices are of Stieltjes Type

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Inverse \(M\)-matrix inequalities and generalized ultrametric matrices

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Inverses of Unipathic M-Matrices

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A New Class of Inverse <i>M</i>-Matrices of Tree-Like Type

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A class of inverse M-matrices

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A Linear Algebra Proof that the Inverse of a Strictly Ultrametric Matrix is a Strictly Diagonally Dominant Stieltjes Matrix

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Generalized ultrametric matrices -- a class of inverse \(M\)-matrices

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A conjecture concerning the Hadamard product of inverses of \(M\)-matrices

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Inverses of Perron complements of inverse \(M\)-matrices

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On the inverse mean first passage matrix problem and the inverse \(M\)-matrix problem

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\(M\)-matrices whose inverses are totally positive

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On an inequality for the Hadamard product of an \(M\)-matrix and its inverse

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A polynomial time spectral decomposition test for certain classes of inverse M-matrices

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Hardy's inequality and ultrametric matrices

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The inverse M-matrix problem

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On the Hadamard product of inverse \(M\)-matrices

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Proof of a conjecture of Fiedler and Markham

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.LAA.2011.02.016

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Sitelinks

Mathematics(1 entry)

mardi Publication:551242

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