Results 11 to 20 of about 7,558 (300)
Nonnegative Combined Matrices [PDF]
Journal of Applied Mathematics, 2014 The combined matrix of a nonsingular real matrix A is the Hadamard (entrywise) product A∘A-1T. It is well known that row (column) sums of combined matrices are constant and equal to one. Recently, some results on combined matrices of different classes of
Rafael Bru +3 more
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, 2014 This chapter deals with nonnegative matrices, which are relevant in the study of Markov processes because the state transition matrix of such a process is a special kind of nonnegative matrix, known as a stochastic matrix.
M. Vidyasagar
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Elgenvalues of nonnegative matrices
Linear Algebra and its Applications, 1997 In a partial continuation of work by Fiedler, some spectral properties of symmetric nonnegative matrices are extended to general nonnegative ...
Wuwen, Guo, Guo Wuwen
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Nonnegative Chainable Matrices
Journal of Mathematical Sciences, 2021 A description of nonnegative chainable matrices, based on fully indecomposable matrices, is given. The notion of the chainable rank of a nonnegative matrix is introduced and investigated.
Al’pin Y.A., Bashkin I.V.
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Nonnegative matrices with nonnegative inverses [PDF]
Proceedings of the American Mathematical Society, 1972 We generalize a result stating that a nonnegative finite square matrix has a nonnegative inverse if and only if it is the product of a permutation matrix by a diagonal matrix.
Ralph DeMarr
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Intervals of totally nonnegative matrices
Linear Algebra and its Applications, 2013 Totally nonnegative matrices, i.e., matrices having all their minors nonnegative, and matrix intervals with respect to the checkerboard ordering are considered.
Mohammad Adm +3 more
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Nonnegative matrices whose inverses are M-matrices [PDF]
Proceedings of the American Mathematical Society, 1972 A characterization of a class of totally nonnegative matrices whose inverses are M-matrices is given. It is then shown that if A is nonnegative of order n and A^-1 is an M-matrix, then the almost principal minors of A of all orders are ...
Markham, Thomas L
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The nonnegative rank factorizations of nonnegative matrices
Linear Algebra and its Applications, 1984 Let A ∈ Pm × nr, the set of all m × n nonnegative matrices having the same rank r. For matrices A in Pm × nn, we introduce the concepts of “A has only trivial nonnegative rank factorizations” and “A can have nontrivial nonnegative rank factorizations ...
Chen, Ji-Cheng, Ji-Cheng Chen
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Functions Preserving Nonnegativity of Matrices [PDF]
SIAM Journal on Matrix Analysis and Applications, 2008 The main goal of this work is to determine which entire functions preserve nonnegativity of matrices of a fixed order $n$ -- i.e., to characterize entire functions $f$ with the property that $f(A)$ is entrywise nonnegative for every entrywise nonnegative matrix $A$ of size $n\times n$.
Gautam Bharali, Olga Holtz
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Factorizations of nonnegative matrices [PDF]
Proceedings of the American Mathematical Society, 1972 Suppose A is an n-square matrix over the real numbers such that all principal minors are nonzero. If A is nonnegative, then necessary and sufficient conditions are determined for A to be factored into a product L-U, where L is a lower triangular nonnegative matrix and U is an upper triangular nonnegative matrix with ui, = 1.
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