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Inverse M-Matrices and Potentials
2014In this chapter we investigate the relationship between M-matrices, their inverses and potentials of finite Markov chains. We supply the basic concepts from potential theory and put them in a linear algebra perspective. We highlight the concepts of potential matrices, equilibrium potentials and maximum and domination principles. The primary results are
Claude Dellacherie +2 more
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The Distance of Potentially Stable Sign Patterns to the Unstable Matrices
SIAM Journal on Matrix Analysis and Applications, 2002A sign pattern is a matrix \(\{{\mathcal A}=[\alpha_{ij}]\}\) with \(\alpha_{ij}\in \{+,0,-\}\); a real (numerical) matrix belongs to this sign pattern (\(A \in \{{\mathcal A}\}\)) if \(\text{sign}(a_{ij})=\alpha_{ij}\). A matrix is stable if all its eigenvalues have negative real parts.
Qing Lin +2 more
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The Components of Leaf Water Potential I. Osmotic and Matric Potentials
Australian Journal of Biological Sciences, 1967Osmotic potential ('IT) resulting from solutes should be distinguished from matric potential (T) resulting from adsorption by the tissue matrix. The usual methods of measuring so·called "osmotic potential" actually give not only 'IT but also part or all of T.
J Warren Wilson, CW Rose
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Changes in the Matric Potential of Soil Water With Time and Temperature
Soil Science, 2010The temperature dependence of the matric potential of soil water was investigated as part of a study of the effects of climate change on soil physical properties. Undisturbed samples of topsoils were collected in cylinders. The pore water suction near the center of each cylinder was measured using two miniature tensiometers.
Dexter, Anthony +3 more
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The potential of anisotropic matrices as substrate for heart valve engineering
Biomaterials, 2014Cells environment is increasingly recognized as an important function regulator through cell-matrix interactions. Extracellular matrix (ECM) anisotropy being a key component of heart valves properties, we have devised a method to create highly porous anisotropic nanofibrillar scaffolds and studied their suitability as cell-support and interactions with
Sohier, Jérôme +5 more
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Transfer matrices for one-dimensional potentials
Journal of Mathematical Physics, 1983The one-dimensional Schrödinger equation can be written as a first-order multicomponent equation by considering ψ and dψ/dx, or combinations thereof, as independent variables. A potential barrier is then represented by a matrix belonging to one of the homomorphic groups SU(1,1), SO(2,1), Sp(2,R), or SL(2,R).
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Diazotizable supports of potential interest as affinity chromatography matrices
Journal of Molecular Recognition, 1996Immobilization of affinity ligands, proteins, enzymes and other functional groups by azo coupling is based on the high reactivity of the support-carrying diazonium groups towards both low- and high-molecular weight compounds containing certain groupings such as phenols, imidazole and some other heterocycles, thiols and amines.
M J, Benes, J, Lenfeld, O, Prádová
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Potential application of SERS for arsenic speciation in biological matrices
Analytical and Bioanalytical Chemistry, 2017Speciation of arsenic is usually carried out using chromatography-based methods coupled with spectroscopic determination; however, the inevitable procedures involving sample preparation and separation could potentially alter the integrity of the arsenic metabolites present in biological samples.
Mingwei, Yang +4 more
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Exact exchange-correlation potential and approximate exchange potential in terms of density matrices
Physical Review A, 1995An exact expression in terms of density matrices (DM) is derived for \ensuremath{\delta}F[n]/\ensuremath{\delta}n(r), the functional derivative of the Hohenberg-Kohn functional. The derivation starts from the differential form of the virial theorem, obtained here for an electron system with arbitrary interactions, and leads to an expression taking the ...
, Holas, , March
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Matric suction and its effect on the shape stability of 3D printed concrete
Cement and Concrete Research, 2022Jae Hong Kim
exaly