Results 11 to 20 of about 2,198,994 (286)
Equivalent resistance of irregular 3 × n Hammock resistor network
The equivalent resistance of a kind of irregular 3 × n Hammock resistor network is studied by the RT-I theory, in which the third order matrix equation and the third order boundary condition equation are established by Kirchhoff′s law and the branch ...
TAN Zhizhong
doaj +1 more source
A new approximate inverse preconditioner based on the Vaidya’s maximum spanning tree for matrix equation AXB = C [PDF]
We propose a new preconditioned global conjugate gradient (PGL-CG) method for the solution of matrix equation AXB = C, where A and B are sparse Stieltjes matrices. The preconditioner is based on the support graph preconditioners.
K. Rezaei, F. Rahbarnia, F. Toutounian
doaj +1 more source
On Relationships between a Linear Matrix Equation and Its Four Reduced Equations
Given the linear matrix equation AXB=C, we partition it into the form A1X11B1+A1X12B2+A2X21B1+A2X22B2=C, and then pre- and post-multiply both sides of the equation by the four orthogonal projectors generated from the coefficient matrices A1, A1, B1, and ...
Bo Jiang, Yongge Tian, Ruixia Yuan
doaj +1 more source
Constrained Matrix Sylvester Equations [PDF]
Etant données les matrices \(A(n\times n)\), \(B(n\times p)\), \(C(m\times n)\), \(F((n-m)\times (n-u))\), le problème est de déterminer les matrices \(L((n-m)\times m)\) et \(T((u-m)\times n)\) telles que \(TA-FT=LC\) et \(TB=0\). Les A. établissent des conditions d'existence des solutions ainsi qu'un algorithme de calcul.
Barlow, Jewel B. +2 more
openaire +1 more source
Green's Matrix for a Second Order Self-Adjoint Matrix Differential Operator [PDF]
A systematic construction of the Green's matrix for a second order, self-adjoint matrix differential operator from the linearly independent solutions of the corresponding homogeneous differential equation set is carried out.
Bayram Tekin +12 more
core +2 more sources
On Linear Matrix Equations [PDF]
AbstractSome results from the theory of minimization of vector quadratic forms (subjected to linear restrictions) are used to obtain particular solutions to the usual types of linear matrix equations. An answer to a question raised by Greville [1] is supplied.
Scobey, P., Kabe, D. G.
openaire +1 more source
Non-commutative NLS-type hierarchies: dressing & solutions [PDF]
We consider the generalized matrix non-linear Schrodinger (NLS) hierarchy. By employing the universal Darboux-dressing scheme we derive solutions for the hierarchy of integrable PDEs via solutions of the matrix Gelfand-Levitan-Marchenko equation, and we ...
Doikou, Anastasia +2 more
core +2 more sources
In this paper, we set up an adequate condition for the presence of a solution of the nonlinear matrix equation. To do so, we prove the existence of fixed points for multi-valued modified F-contractions in the context of complete metric spaces, which ...
Nawab Hussain +3 more
doaj +1 more source
Spectral analysis of variable-order multi-terms fractional differential equations
In this work, a numerical scheme based on shifted Jacobi polynomials (SJPs) is deduced for variable-order fractional differential equations (FDEs). We find numerical solution of consider problem of fractional order. The proposed numerical scheme is based
Shah Kamal +3 more
doaj +1 more source
A Diagrammatic Equation for Oriented Planar Graphs [PDF]
In this paper we introduce a diagrammatic equation for the planar sector of square non hermitian random matrix models strongly reminiscent of Polchinski's equation in quantum field theory.
Ambjorn +27 more
core +1 more source

