On the fast matrix multiplication in the boundary element method by panel clustering The boundary element method (BEM) leads to a system of linear equations with a full matrix, while FEM yields sparse matrices. This fact seems to require mu... W Hackbusch,ZP Nowak - 《Numerische Mathematik》...
Hackbusch, Existence of H-matrix approxi- mants to the inverse FE-matrix of elliptic operators with L∞-coefficients, Numer. Math., 95 (2003), pp. 1-28.Mario Bebendorf,Wolfgang Hackbusch.Existence of ℋ-matrix approximants to the inverse FE-matrix of elliptic operators with L ∞ -...
THE NECESSARY AND SUFFICIENT CONDITIONS FOR THE SOLVABILITY OF A CLASS OF THE MATRIX INVERSE PROBLEM Censider the solutions of the matrix inverse problem, which are symmetric positive semide finite on a subspace. Necessary and sufficient conditions for the... A Liao,Z Lei - 《高等学校计算数学学...
Existence of H-matrix approximants to the inverse FE-matrix of elliptic operators with L ∞ -coefficients - Bebendorf, Hackbusch () Citation Context ...s T that are suitable to approximate the inverse to a finite element stiffness matrix in the set HðT ; kÞ, where the underlying ...
The next, inner diagonalization step "by coordinates" is replaced by more elegant and brief explicit construction of the corresponding inverse matrix differential operator. Conditions of such operator existence are studied by methods of applied mathematical analysis and are based on the original ...
Consider the existence of solutions to the following fractional differential equations: D^{3/2}_{0^{+}} \left( \begin{matrix}x_{1} \\ x_{2}\end{matrix}\right) (t) = \left( \begin{matrix}{\frac{t^{5}+1}{22} ( \vert x_{1}(t)\vert +\vert x_{2}(t)\vert ) + \...
A matrix inverse eigenvalue problem and its application The problem of generating a matrix A with specified eigenvalues, which maps a given set of vectors of another given set, is presented. An existence theorem... N Li - 《Linear Algebra & Its Applications》...
The inverse images of the interior points of the orbit space M/G are known as principal orbits, while the inverse images of the boundary points are called singular orbits. We denote by M^{\text {princ}} the union of all principal orbits, which is an open dense subset of M, and by ...
1.In this paper,to use the section theorem in the field of nonlinear analysis,we prove a new existence theorem of weight Nash equilibrium.利用非线性分析中的截口定理,证明了一个新的权Nash平衡的存在性定理。 2.After studying inverse problems in matrix theory as wellas inverse eigenvalue promems ...
Necessary and sufficient conditions for the existence and uniqueness of weighted pseudoinverses with singular weights are obtained. Pseudoinverses are expanded into matrix power series and power products. A relationship is found between weighted pseudoinverses and weighted normal pseudosolutions, and itera...