Finding the coefficients of these types of high-order polynomials can be computationally intensive. In this study, the solution coefficients of high-order polynomials were calculated using a generalized inverse
A new class of survival frailty models based on the Generalized Inverse-Gaussian (GIG) distributions is proposed. We show that the GIG frailty models are flexible and mathematically convenient like the popular gamma frailty model. Furthermore, our proposed class is robust and does not present some...
square matrixKrylov’s methodnon-linear equation systemCayley-HamiltonSolverIn this article a procedure is presented to obtain a square order-three matrix A given its characteristic equation, by means of Krylov's method, that traditionally performs the opposite problem. Finally, the elements of ...
We study a matrix that arises from a singular form of the Woodbury matrix identity. We present generalized inverse and pseudo-determinant identities for this matrix, which have direct applications for Gaussian process regression, specifically its likelihood representation and precision matrix. We extend ...
The inverse of a symmetric tridiagonal matrix with variable entries is obtained in explicit form. It is shown how this knowledge can be applied in proving convergence of a classical finite difference method for computing eigenvalues of two-point boundary-value problems associated with the general ...
In “Convergence of a generalized USOR iterative method for augmented systems” by Y.-Q. Bai et al., the authors establish a generalized Uzawa-SOR (GUSOR) method for solving augmented systems. They prove the convergence of the proposed method under suitable restrictions on the iteration paramete...
Inverse problems are frequently encountered in many areas of science and engineering where observations are used to estimate the parameters of a system. In several practical applications, the dynamic processes that take place in a physical system are des
Longwall top coal caving technology is one of the main methods of thick coal seam mining in China, and the classification evaluation of top coal cavability in longwall top coal caving working face is of great significance for improving coal recovery. However, the empirical or numerical simulation...
They [84] also studied the transient analysis of tapered orthotropic plates subjected to blast load using the DQ method. Maleki et al. [85] used the generalized differential quadrature (GDQ) method for transient analysis of laminated plates subjected to blast load which is considered to be ...
Thus, the generalized predictive control (GPC) model was developed; its theoretical basis is more complete than DMC and MAC, and it could also solve the robustness problem to a certain extent. Most industrial processes are highly complex, involve large amounts of interference and are strongly ...