describe how to find the general solution of the matrix equation XA + AX T = 0 XA+AXT=0 , with A ∈ C n × n A∈Cn×n , which allows us to determine the dimension of its solution space. This result has immediate applications in the theory of congruence orbits of matrices in C ...
看起来是实矩阵(AXT)T=XAT=AXT 所以AXT是对称阵, X可以有各种各样的解.不过我可以给你的特解, X=A
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The necessary and sufficient conditions for the existence of and the expressions for the symmetric solutions of matrix equations (I) AX + YA = C , (II) AXA T + BYB T = C , and (III) ( A T XA , B T XB ) = ( C, D ) are derived. In addition, the minimum-2-norm lea...
We solve the matrix equation XA + AX = 0, where A ∈ Cnxn is an arbitrary given square matrix, and we compute the dimension of its solution space. This dimension coincides with the codimension of the tangent space of the congruence orbit of A. Hence, we also obtain the (real) dimension...
Positive solutions of the system of operator equations A<inf>1</inf>X = C<inf>1</inf>,XA<inf>2</inf> = C<inf>2</inf>, A<inf>3</inf>XA*<inf>3</inf> = C<inf>3</inf>, and A<inf>4</inf>XA*<inf>4</inf> = C<inf>4</inf> in hilbert C*-modules 2018, Electronic...
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On the Matrix Equation XA + AX_T = 0, II The matrix equation $XA + AX^T = 0$ was recently introduced by De Ter\\'an and Dopico to study the dimension of congruence orbits. They reduced the study of this equation to a number of special cases, several of which have not been exp...
Microsoft Dynamics AX 2012 không bộ đệm ẩn thông tin cuộc gọi được sử dụng để tải xuống phiên bản thuộc tính. Do đó, số lượng cuộc gọi các th...