Results 231 to 240 of about 1,484,501 (262)

On the matrix function Ax+X′A′

Archive for Rational Mechanics and Analysis, 1962
Proof. Let ~ denote the space of all ant isymmetric n x n matrices with elements in F. The space ~ has dimension n(n--1)/2, and, since char F=~2, we have 6 ~ = { 0 } . Hence 6 and ~ together span the whole linear space ~. Choose a basis B x . . . . . 13,, of ~ such that B x . . . . . B~r are in 6 , and BN+ 1 . . . . . B, , are in ~.
Taussky, O., Wielandt, Helmut
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Matrix functions and applications: Part II — Functions of a matrix

IEEE Spectrum, 1964
In 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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Analysis of Matrix-Convex Functions

Cybernetics and Systems Analysis, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Amirgalieva, S. N., Ostapenko, V. V., Ostapenko, E. V.   +2 more
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The Degree of a Rational Matrix Function

Journal of the Society for Industrial and Applied Mathematics, 1963
where PA(z) and QA(z) are polynomials in z and PA(z) and QA(z) have no common factor. We define the degree of F(z) to be the maximum degree of PA(Z) for all possible choices of the constant matrix A. The symbol 5F(z) is used to denote the degree of the matrix F(z). The same symbolism is used to denote the degree of a polynomial.
Duffin, R. J., Hazony, D.
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Extracellular Matrix and Synaptic Functions

2006
Comprehensive analysis of neuromuscular junction formation and recent data on synaptogenesis and long-term potentiation in the central nervous system revealed a number of extracellular matrix (ECM) molecules regulating different aspects of synaptic differentiation and function.
Alexander, Dityatev, Renato, Frischknecht, Constanze I, Seidenbecher   +2 more
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Matrix functions

1990
Abstract So far in this book we have mainly been concerned with algebraic manipulations of matrices, and have encountered limiting processes only in relation to iterative methods in Section 6.7. We now give an introduction to what can be called ‘matrix analysis’, where the idea of convergence plays a fundamental role.
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Matrix Metalloproteinases and Platelet Function

2017
Platelets 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.
Paolo, Gresele, Emanuela, Falcinelli, Manuela, Sebastiano, Stefania, Momi   +3 more
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A new regular infinite matrix defined by Jordan totient function and its matrix domain in ℓp

Mathematical Methods in the Applied Sciences, 2021
Merve Ilkhan, Necip Simsek, Emrah Evren Kara   +2 more
exaly  

The functional matrix revisited

American Journal of Orthodontics, 1982
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A General Matrix Function Dimensionality Reduction Framework and Extension for Manifold Learning

IEEE Transactions on Cybernetics, 2022
Ruisheng Ran, Ji Feng, Bin Fang
exaly