نتایج جستجو برای: Anti-reflexive matrix
تعداد نتایج: 723720 فیلتر نتایج به سال:
a matrix $pintextmd{c}^{ntimes n}$ is called a generalized reflection matrix if $p^{h}=p$ and $p^{2}=i$. an $ntimes n$ complex matrix $a$ is said to be a reflexive (anti-reflexive) matrix with respect to the generalized reflection matrix $p$ if $a=pap$ ($a=-pap$). in this paper, we introduce two iterative methods for solving the pair of matrix equations $axb=c$ and $dxe=f$ over reflexiv...
A matrix $Pintextmd{C}^{ntimes n}$ is called a generalized reflection matrix if $P^{H}=P$ and $P^{2}=I$. An $ntimes n$ complex matrix $A$ is said to be a reflexive (anti-reflexive) matrix with respect to the generalized reflection matrix $P$ if $A=PAP$ ($A=-PAP$). In this paper, we introduce two iterative methods for solving the pair of matrix equations $AXB=C$ and $DXE=F$ over reflexiv...
We consider when the quaternion matrix equation AXB+CXD=E has a reflexive (or anti-reflexive) solution with respect to given generalized reflection matrix. adopt real representation method derive solutions it is solvable. Moreover, we obtain explicit expressions of least-squares solutions.
در این پایان نامه روش های ارائه شده توسط هررو1 و تم2 در سال 2011 در مقاله ای با عنوان using the gsvd and the lifthing technique to find {p,k+1} reflexive and anti-reflexive solutions of axb=c برای پیدا کردن جواب های انعکاسی و پاد-انعکاسی {p,k+?} معادله ماتریسی axb=c بیان شده اند را بررسی می کنیم. در پایان از این روش ها برای پیدا کردن جواب های {p,?k} انعکاسی معادله ی ماتریسی axb+cx^* e=f استف...
Let R ∈ Cm×m and S ∈ Cn×n be nontrivial unitary involutions, i.e., R = R = R−1 = ±Im and S = S = S−1 = ±In. A ∈ Cm×n is said to be a generalized reflexive (anti-reflexive) matrix if RAS = A (RAS = −A). Let ρ be the set of m × n generalized reflexive (anti-reflexive) matrices. Given X ∈ Cn×p, Z ∈ Cm×p, Y ∈ Cm×q and W ∈ Cn×q, we characterize the matrices A in ρ that minimize ‖AX−Z‖2+‖Y HA−WH‖2, a...
in the present paper, we propose an iterative algorithm for solving the generalized $(p,q)$-reflexive solution of the quaternion matrix equation $overset{u}{underset{l=1}{sum}}a_{l}xb_{l}+overset{v} {underset{s=1}{sum}}c_{s}widetilde{x}d_{s}=f$. by this iterative algorithm, the solvability of the problem can be determined automatically. when the matrix equation is consistent over...
Let n n complex matrices P andQ be nontrivial generalized reflection matrices, i.e., P D P D P 1 ¤ In, Q DQ DQ 1 ¤ In. A complex matrix A with order n is said to be a .P;Q/ generalized anti-reflexive matrix, if PAQ D A. We in this paper mainly investigate the .P;Q/ generalized anti-reflexive maximal and minimal rank solutions to the system of matrix equation AX D B . We present necessary and su...
In the present paper, we propose an iterative algorithm for solving the generalized $(P,Q)$-reflexive solution of the quaternion matrix equation $overset{u}{underset{l=1}{sum}}A_{l}XB_{l}+overset{v} {underset{s=1}{sum}}C_{s}widetilde{X}D_{s}=F$. By this iterative algorithm, the solvability of the problem can be determined automatically. When the matrix equation is consistent over...
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