Method of solution Let us consider the fundamental matrix Eq. (13) corresponding to the Riccati differential equation (1). We can write Eq. (13) in the formWY+CY¯=MD,whereA+B=W=[wij],C=[cij]i,j=0(1)N. The augmented matrix of Eq. (17) becomes, clearly,[W;C;MD]=w00w01...
MT Chu,RE Funderlic,GH Golub - 《Siam Journal on Matrix Analysis & Applications》 被引量: 8发表: 2006年 Supersolutions and stabilization of the solutions of the equation∂u/∂t - div(|p|u) = h(x,u), Part II. In this paper we consider a nonlinear parabolic equation of the ...
The solution of the time‐dependent Schrdinger equation by the (t,t') method: Theory, computational algorithm and applications A new powerful computational method is introduced for the solution of the time dependent Schrdinger equation with time‐dependent Hamiltonians (not necessa... U Peskin,N ...
百度试题 结果1 题目The solution of the matrix equation is X=A^(-1)B. 相关知识点: 试题来源: 解析反馈 收藏
The purpose of this paper is to study the existence and uniqueness of a positive definite solution to the nonlinear matrix equation X = Q − A∗X −1A + B∗X −1B, which is a special stochastic rational Riccati equation arising in stochastic control theory. Methods Ou...
A new matrix equation expression for the solution of non‐autonomous linear systems of ODEs The solution of systems of non‐autonomous linear ordinary differential equations is crucial in a variety of applications, such us nuclear magnetic resonance spectroscopy. A new method with spectral accuracy has...
A multicell matrix solution to the Boltzmann equation applied to the anisotropic electron transport in silicon A new method for solving the Boltzmann transport equation is introduced. The method is based on a discontinuous spline approximation of the distribution fu... C Ertler,F Schürrer - 《Jour...
solutiontomatrixequationAx+xB:Cisgainedbyusingthemethodofmatrixdecom— position,finally,anumericalexampleiSobtained. Keywords:matrixequation;g-inverse;explicitsolution;formulae;Jordancanonicalform 2000MRSubjectClassiflcation:15A24.65F10 CLCnumber:O151.21 ...
This allows us to find a method whereby bad status "u" changes to good status "u" by solving the equation. The conversion method that transform from current to expectant status can be obtained from the transformation matrix T. On this basis, this paper proposes a new kind of error matrix...
Jiang, T., Wei, M.: On solution of the quaternion matrix equation \(X-A\widetilde{X}B=C\) and its application. Acta Math. Sin. 21 , 483–490 (2005)Jiang, T.S., Wei, M.S.: On a solution of the quaternion matrix equation \(X-A\tilde{X}B=C\) and its application. Acta ...