Results 61 to 70 of about 2,163,565 (354)

Bridging Nature and Technology: A Perspective on Role of Machine Learning in Bioinspired Ceramics

Advanced Engineering Materials, EarlyView.
Machine learning (ML) is revolutionizing the development of bioinspired ceramics. This article investigates how ML can be used to design new ceramic materials with exceptional performance, inspired by the structures found in nature. The research highlights how ML can predict material properties, optimize designs, and create advanced models to unlock a ...
Hamidreza Yazdani Sarvestani, Aditi Singh, Behnam Ashrafi   +2 more
wiley   +1 more source

D-analogue of an algorithm for determining single-parametric Drazin generalized inverse matrix based on matrix full rank factorization

Известия Томского политехнического университета: Инжиниринг георесурсов, 2019
The urgency of the research is caused by the wide application of Drazin generalized inverse matrix in the theory of finite Markov chains, in solving linear shifting system of differential equations, difference equations, problems of optimal control of ...
Hamlet Aslanyan, Sargis Simonyan
doaj   +2 more sources

Best linear unbiased estimation for varying probability with and without replacement sampling

Special Matrices, 2019
When sample survey data with complex design (stratification, clustering, unequal selection or inclusion probabilities, and weighting) are used for linear models, estimation of model parameters and their covariance matrices becomes complicated.
Haslett Stephen
doaj   +1 more source

Invariance property of a five matrix product involving two generalized inverses

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021
Matrix expressions composed by generalized inverses can generally be written as f(A−1, A−2, . . ., A−k), where A1, A2, . . ., Ak are a family of given matrices of appropriate sizes, and (·)− denotes a generalized inverse of matrix.
Jiang Bo, Tian Yongge
doaj   +1 more source

Parallel Sum of Bounded Operators with Closed Ranges

Mathematics, 2023
Let H be a separable infinite dimensional complex Hilbert space and B(H) be the set of all bounded linear operators on H. In this paper, we present several conditions under which the distributive law of the parallel sum is valid.
Wenting Liang
doaj   +1 more source

Analytic perturbation of generalized inverses

Linear Algebra and its Applications, 2013
We investigate the analytic perturbation of generalized inverses. Firstly we analyze the analytic perturbation of the Drazin generalized inverse (also known as reduced resolvent in operator theory). Our approach is based on spectral theory of linear operators as well as on a new notion of group reduced resolvent.
Avrachenkov, Konstantin, Lasserre, Jean-Bernard   +1 more
openaire   +4 more sources

The Compound Family of Generalized Inverse Weibull Power Series Distributions

, 2016
Compounding a continuous lifetime distribution with a discrete one is a useful technique for constructing flexible distributions to facilitate better modeling of lifetime data. In this paper, a new family of lifetime distributions, called the generalized
A. Hassan, S. Assar, Kareem A. Ali
semanticscholar   +1 more source

A Novel Simulation Approach for Damage Evolution during Tailored Forming

Advanced Engineering Materials, EarlyView.
Traditional damage models are struggling to accurately and efficiently simulate large‐scale three‐dimensional models with a great number of degrees of freedoms. A new gradient‐enhanced damage model based on the extended Hamilton principle can significantly reduce the computation time while ensuring mesh‐independence which is suitable to use in tailored
Fangrui Liu, Dustin Roman Jantos, Philipp Junker   +2 more
wiley   +1 more source

Inverses and eigenvalues of diamondalternating sign matrices

Special Matrices, 2014
An n × n diamond alternating sign matrix (ASM) is a (0, +1, −1)-matrix with ±1 entries alternatingand arranged in a diamond-shaped pattern. The explicit inverse (for n even) or generalized inverse (for nodd) of a diamond ASM is derived.
Catral Minerva, Lin Minghua, Olesky D. D., van den Driessche P.   +3 more
doaj   +1 more source

Characterizations of matrix equalities involving the sums and products of multiple matrices and their generalized inverse

Electronic Research Archive, 2023
It is common knowledge that matrix equalities involving ordinary algebraic operations of inverses or generalized inverses of given matrices can be constructed arbitrarily from theoretical and applied points of view because of the noncommutativity of the ...
Yongge Tian
doaj   +1 more source