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Matrix Structures and Matrix Functions
Proceedings of the 2023 International Symposium on Symbolic and Algebraic Computation, 2023Structured matrices play a relevant role in symbolic and numerical computations. In the literature and in applications we encounter several types of structure, which are typically related to the properties of the problems they stem from: banded structure is often associated with locality of functions or operators, Toeplitz structure arises from shift ...
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Matrix Functions and Matrix Equations
2015Matrix functions and matrix equations are widely used in science, engineering and social sciences due to the succinct and insightful way in which they allow problems to be formulated and solutions to be expressed.
Weiguo Gao, Zhaojun Bai, Yangfeng Su
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The matrix sign function [PDF]
A survey of the matrix sign function is presented including some historical background, definitions and properties, approximation theory and computational methods, and condition theory and estimation procedures, Applications to areas such as control theory, eigendecompositions, and roots of matrices are outlined, and some new theoretical results are ...
Charles Kenney, Alan J. Laub
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Function of Eggshell Matrix Proteins
2007International ...
Gautron, Joël, Nys, Yves
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Matrix Metalloproteinases and Platelet Function
2017Platelets contain and release several matrix metalloproteinases (MMPs) and their tissue inhibitors of matrix metalloproteinases (TIMPs), including MMP-1, -2, -3, -9, and -14 and TIMP-1, -2, and -4. Although devoid of a nucleus, platelets also synthesize TIMP-2 upon activation.
GRESELE, Paolo+3 more
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Matrix functions and applications: Part II — Functions of a matrix
IEEE Spectrum, 1964In Part II of this series, differential equations with constant matrix coefficients are introduced. These equations may be solved explicitly by finding the eigenvalues and by expressing the functions of a diagonal matrix in terms of its constituent ...
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A Simplex Method for Function Minimization
Computer/law journal, 1965A method is described for the minimization of a function of n variables, which depends on the comparison of function values at the (n 41) vertices of a general simplex, followed by the replacement of the vertex with the highest value by another point ...
J. Nelder, R. Mead
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What mouse mutants teach us about extracellular matrix function.
Annual Review of Cell and Developmental Biology, 2006For many years the extracellular matrix was viewed as a benign scaffold for arranging cells within connective tissues, but it is now being redefined as a dynamic, mobile, and flexible key player in defining cellular behavior.
A. Aszódi+3 more
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, 1998
A transfer matrix function (TMF) is derived for the analysis of electromagnetic (EM) wave propagation in dielectric waveguides with arbitrary profiles, situated inside rectangular metal tubes.
Z. Menachem, E. Jerby
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A transfer matrix function (TMF) is derived for the analysis of electromagnetic (EM) wave propagation in dielectric waveguides with arbitrary profiles, situated inside rectangular metal tubes.
Z. Menachem, E. Jerby
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R-matrix and S-matrix strength functions
Nuclear Physics A, 1968Abstract Strength functions are defined for both R - and S -matrices as the energy average of the ratio of pole residues to pole spacings. The R -matrix strength functions exhibit no threshold effects, while the S -matrix strength function for channel c considered as a function of the energy has a branch point at that channel threshold ...
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