Results 71 to 80 of about 3,570,033 (364)
ZjuMatrix: C++ vector and matrix class library for finite element method
SoftwareXFinite element analysis is an indispensable and valuable tool widely used in the field of science and technology. It involves a multitude of matrix operations, storage of large banded matrices, and calculation of large-scale algebraic equations and ...
Shicheng Zheng, Rongqiao Xu
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New Journal of Physics, 2021 In this paper, we present a method to solve the quantum marginal problem for symmetric d -level systems. The method is built upon an efficient semi-definite program that uses the compatibility conditions of an m -body reduced density with a global n ...
Albert Aloy, Matteo Fadel, Jordi Tura
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Asymptotic behavior of solutions of fully nonlinear equations over exterior domains
Comptes Rendus. Mathématique, 2021 In this paper, we consider the asymptotic behavior at infinity of solutions of a class of fully nonlinear elliptic equations $F(D^2u)=f(x)$ over exterior domains, where the Hessian matrix $(D^2u)$ tends to some symmetric positive definite matrix at ...
Jia, Xiaobiao
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PT symmetry and large-N models
, 2008 Recently developed methods for PT-symmetric models can be applied to quantum-mechanical matrix and vector models. In matrix models, the calculation of all singlet wave functions can be reduced to the solution a one-dimensional PT-symmetric model.
Bender C M +4 more
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Advanced Engineering Materials, EarlyView.This work reveals the phase composition and quantitative morphology analysis of precipitation‐hardened Fe32Cu12Ni11Ti16Al29 complex‐concentrated alloy. The precipitates are shown to have a high coherency. Morphology transition between sphere, cuboidal, and elongated morphology is observed. Finally, the overaging behavior is captured using microhardness.
Rostyslav Nizinkovskyi +4 more
wiley +1 more source
Inverse Numerical Range and Determinantal Quartic Curves
Mathematics, 2020 A hyperbolic ternary form, according to the Helton–Vinnikov theorem, admits a determinantal representation of a linear symmetric matrix pencil. A kernel vector function of the linear symmetric matrix pencil is a solution to the inverse numerical range ...
Mao-Ting Chien, Hiroshi Nakazato
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Two Inverse Eigenproblems for Certain Symmetric and Nonsymmetric Pentadiagonal Matrices
Mathematics, 2022 In this paper, we give sufficient conditions for the construction of certain symmetric and nonsymmetric pentadiagonal matrices from particular spectral information.
S. Arela-Pérez +3 more
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Advanced Engineering Materials, EarlyView.Cubic Bézier curves are used in the synthesis of novel surface‐based metamaterials with tunable mechanical properties. Surface‐based geometries are 3D printed and tested in compression. The resulting mechanical properties are correlated to changes in the shape of the base curve, with high potential in energy absorption through the adjustment of their ...
Alberto Álvarez‐Trejo +2 more
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A note on multilevel Toeplitz matrices
Special Matrices, 2019 Chien, Liu, Nakazato and Tam proved that all n × n classical Toeplitz matrices (one-level Toeplitz matrices) are unitarily similar to complex symmetric matrices via two types of unitary matrices and the type of the unitary matrices only depends on the ...
Cao Lei, Koyuncu Selcuk
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A sparsity for decomposing a symmetric matrix
Computers & Mathematics with Applications, 1993 A direct method based decomposition of a nonsingular symmetric matrix \(A\) is derived to reduce the complexity in inverting \(A\) and in solving large sparse sets of linear algebraic equations. \(A^{-1}\) is computed directly in the form of \(LDL^ T\), where \(L\) denotes a lower triangular matrix with unit diagonal coefficients and \(D\) is a ...
openaire +3 more sources