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M-matrix

In mathematics, especially linear algebra, an M-matrix is a matrix whose off-diagonal entries are less than or equal to zero (i.e., it is a Z-matrix) and whose eigenvalues have nonnegative real parts. The set of non-singular M-matrices are a subset of the class of P-matrices, and also of the class of inverse-positive matrices (i.e. matrices with inverses…

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Map overview Semantic statistics

M-matrix

Nodes46
Edges45
Triples30
Avg. degree1.96
Density0.043478
Components1

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M-matrix

Top relations

has application · 13
M-matrix → Hawkins, Hurwitz, In, Laplacian, Lastly, Leontief's, Linear, Lyapunov, M-matrices, Markov, Meanwhile, Simon, The
related to Characterizations · 6
M-matrix → An M-matrix, Definition, Let, That, Then, Z-matrix
see also · 6
M-matrix → Frobenius, If, L-matrix, Metzler, Stieltjes, Translation
related to Properties · 4
M-matrix → Below, Let, That, Z-matrix
is a · 1
M-matrix → matrix whose off-diagonal entries are less than or equal to zero

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Important terminology

positive matrix non-singular m-matrices z-matrix exists matrices also diagonal real linear class eigenvalues principal minors stability convergent occur inverse-positive characterizations

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
M-matrixis amatrix whose off-diagonal entries are less than or equal to zero0.90text
M-matrixhas applicationThe0.60section
M-matrixhas applicationM-matrices0.60section
M-matrixhas applicationLaplacian0.60section
M-matrixhas applicationLinear0.60section
M-matrixhas applicationLastly0.60section
M-matrixhas applicationMarkov0.60section
M-matrixhas applicationMeanwhile0.60section
M-matrixhas applicationLeontief's0.60section
M-matrixhas applicationHawkins0.60section
M-matrixhas applicationSimon0.60section
M-matrixhas applicationIn0.60section

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