Results 201 to 210 of about 6,523,303 (221)
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A Sufficient condition for strict total positivity of a matrix
Linear and Multilinear Algebra, 1998We establish a sufficient condition for strict total positivity of a matrix In particular, we show that if the (positive) elements of a square matrix grow sufficiently fast as their distance from the diagonal of the matrix increases, then the matrix is strictly totally positive.
Thomas Craven, George Csordas
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A Hurwitz Matrix is Totally Positive
SIAM Journal on Mathematical Analysis, 1982If the real polynomial $f(w) = \sum_0^n {d_j } w^{n - j} $ with $d_0 > 0$ has all its zeros in $\operatorname{Re} (w) \leqq 0$, then the infinite matrix H with elements $H_{i,j} = d_{2j - i} $ is totally positive. As a consequence, a real polynomial $\sum_j {b_j w^j } $ has at least $M = \max (\sigma _0 ,\sigma _1 )$ zeros in each half plane ...
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Totally positive sequences andR-matrix quadratic algebras
Journal of Mathematical Sciences, 2000The author studies the Hilbert series of the quadratic algebra associated with a unitary \(R\)-matrix. The main result is that the Hilbert series is rational with real positive poles and real negative zeros. This result has also been obtained for a more general \(R\)-matrix-Hecke operator by the reviewer [Acta Math. Vietnam. 24, No.
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Bulletin of Environmental Contamination and Toxicology, 2012
The present study sough to apportion the possible sources of TSP in Ahvaz, southwestern Iran. A high correlation coefficient existed between measured and predicted values (R(2) = 0.99), indicating that the data were well modeled. Seven factors were resolved by the model: crustal dust (56%), road dust (7%), motor vehicles (8%), marine aerosol (9 ...
Mohammad Hossein, Sowlat +4 more
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The present study sough to apportion the possible sources of TSP in Ahvaz, southwestern Iran. A high correlation coefficient existed between measured and predicted values (R(2) = 0.99), indicating that the data were well modeled. Seven factors were resolved by the model: crustal dust (56%), road dust (7%), motor vehicles (8%), marine aerosol (9 ...
Mohammad Hossein, Sowlat +4 more
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On the matrix valued exponentially convex, totally positive functions and sequences
Acta Mathematica Hungarica, 1993The concept of exponentially convex functions was introduced by S. N. Bernstein and D. V. Widder independently. This concept is extended in this paper for the matrix-valued functions and sequences; moreover we deal with the Hankelian totally positive (non-negative, matrix-valued) functions and sequences. The paper consists of six parts.
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Archives of Environmental Contamination and Toxicology, 2018
There is a compelling need for apportionment of pollutants' sources to facilitate their reduction through proper management plans. The present study was designed to determine the contribution of each possible source of total suspended particles in Ahvaz's ambient air using positive matrix factorization (PMF), chemical mass balance (CMB), and the ...
Khosro, Ashrafi +4 more
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There is a compelling need for apportionment of pollutants' sources to facilitate their reduction through proper management plans. The present study was designed to determine the contribution of each possible source of total suspended particles in Ahvaz's ambient air using positive matrix factorization (PMF), chemical mass balance (CMB), and the ...
Khosro, Ashrafi +4 more
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Total Positivity Properties of Generalized Hypergeometric Functions of Matrix Argument
Journal of Statistical Physics, 2004In multivariate statistical analysis, several authors have studied the total positivity properties of the generalized (0F1) hypergeometric function of two real symmetric matrix arguments. In this paper, we make use of zonal polynomial expansions to obtain a new proof of a result that these 0F1 functions fail to satisfy certain pairwise total positivity
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A Totally Positive Factorization of Rectangular Matrices by the Neville Elimination
SIAM Journal on Matrix Analysis and Applications, 2004Juan R Torregrosa
exaly
Compressions of Totally Positive Matrices
SIAM Journal on Matrix Analysis and Applications, 2006Allen Herman, Shaun M Fallat
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Norm estimates for the inverses of matrices of monotone type and totally positive matrices
Siberian Mathematical Journal, 2009Yuriy Volkov
exaly