Results 11 to 20 of about 4,444,439 (338)

Resilin matrix distribution, variability and function in Drosophila [PDF]

BMC Biology, 2020
Background Elasticity prevents fatigue of tissues that are extensively and repeatedly deformed. Resilin is a resilient and elastic extracellular protein matrix in joints and hinges of insects.
Steven Lerch, Renata Zuber, Nicole Gehring, Yiwen Wang, Barbara Eckel, Klaus-Dieter Klass, Fritz-Olaf Lehmann, Bernard Moussian   +7 more
doaj   +2 more sources

Some Matrix Iterations for Computing Matrix Sign Function [PDF]

Journal of Applied Mathematics, 2014
Some iterative methods are introduced and demonstrated for finding the matrix sign function. It is analytically shown that the new schemes are asymptotically stable.
F. Soleymani, E. Tohidi, S. Shateyi, F. Khaksar Haghani   +3 more
doaj   +4 more sources

Injective matrix functions [PDF]

Proceedings of the American Mathematical Society, 1981
Binyamin Schwarz
openalex   +2 more sources

SoftNet: A Package for the Analysis of Complex Networks

Algorithms, 2022
Identifying the most important nodes according to specific centrality indices is an important issue in network analysis. Node metrics based on the computation of functions of the adjacency matrix of a network were defined by Estrada and his collaborators
Caterina Fenu, Lothar Reichel, Giuseppe Rodriguez   +2 more
doaj   +1 more source

Pole Allocation for Rational Gauss Quadrature Rules for Matrix Functionals Defined by a Stieltjes Function

Axioms, 2023
This paper considers the computation of approximations of matrix functionals of form F(A):=vTf(A)v, where A is a large symmetric positive definite matrix, v is a vector, and f is a Stieltjes function.
Jihan Alahmadi, Miroslav Pranić, Lothar Reichel   +2 more
doaj   +1 more source

Derivative and higher-order Cauchy integral formula of matrix functions

Open Mathematics, 2021
The derivative of a nn-order matrix function on the complex field is usually defined as a n2{n}^{2}-order matrix, which is not suitable for generalizing Cauchy integral formula of matrix functions to its higher-order derivative form. In this paper, a new
Huang Xiaojie, Liu Zhixiu, Wu Chun
doaj   +1 more source

Marginal Fisher Analysis With Polynomial Matrix Function

IEEE Access, 2022
Marginal fisher analysis (MFA) is a dimensionality reduction method based on a graph embedding framework. In contrast to traditional linear discriminant analysis (LDA), which requires the data to follow a Gaussian distribution, MFA is suitable for non ...
Ruisheng Ran, Zheng Li, Ting Wang, Ji Feng, Bin Fang   +4 more
doaj   +1 more source

An Enhanced Numerical Iterative Method for Expanding the Attraction Basins When Computing Matrix Signs of Invertible Matrices

Fractal and Fractional, 2023
The computation of the sign function of a matrix plays a crucial role in various mathematical applications. It provides a matrix-valued mapping that determines the sign of each eigenvalue of a nonsingular matrix.
Lei Shi, Malik Zaka Ullah, Hemant Kumar Nashine, Monairah Alansari, Stanford Shateyi   +4 more
doaj   +1 more source

Efficient Evaluation of Matrix Polynomials beyond the Paterson–Stockmeyer Method

Mathematics, 2021
Recently, two general methods for evaluating matrix polynomials requiring one matrix product less than the Paterson–Stockmeyer method were proposed, where the cost of evaluating a matrix polynomial is given asymptotically by the total number of matrix ...
Jorge Sastre, Javier Ibáñez
doaj   +1 more source

Extended Beta and Gamma Matrix Functions via 2-Parameter Mittag-Leffler Matrix Function

Mathematics, 2022
The main aim of this article is to study an extension of the Beta and Gamma matrix functions by using a two-parameter Mittag-Leffler matrix function. In particular, we investigate certain properties of these extended matrix functions such as symmetric ...
Rahul Goyal, Praveen Agarwal, Georgia Irina Oros, Shilpi Jain   +3 more
doaj   +1 more source