Hankel Matrices and Their Applications to the Numerical Factorization of Polynomials. Mohammad A Hasan,Ali A. Hasan. Journal of Mathematical . 1996Mohammad A Hasan,Ali A. Hasan.Hankel Matrices and Their Applications to the Numerical Factorization of Polynomials.Journal of Mathematical. 1996...
The phase fraction \(\alpha \) ranges from 0 (only air) to 1 (only water). The names of the boundaries refer to version 2.3 of OpenFOAM (OpenFOAM 2015). Calling \(\Phi \) the general field (either \(\alpha \), U, \(p_d\) or pointDisplacement), the boundary conditions are ...
Rost. Topics in the numerical linear algebra of Toeplitz and Hankel matrices. GAMM Mitteilungen, 27(2):174-188, 2004.A. B¨ottcher and K. Rost, "Topics in the numerical linear algebra of Toeplitz and Hankel matrices", GAMM Mitt. Ges. Angew. Math. Mech. 27:2 (2004), 174-188....
The value of 𝛽𝑖βi ranges between 0 and 1, where 𝛽𝑖=1βi=1 indicates no stiffness loss in the 𝑖thith element while 𝛽𝑖=0βi=0 indicates the stiffness of the 𝑖thith element is completely lost. The stiffness matrix of the damaged structure is the assemblage of the ...