\begin{flushleft} \hspace{0.0cm} \begin{texdraw} \setunitscale 0.7 \arrowheadtype t:F %begin textrectangle %begin rectangle \move(0.02 -0.53) \lvec(0.02 -2.57) \move(0.02 -0.53) \lvec(2.06 -0.53) \move(2.06 -2.57) \lvec(2.06 -0.53) \move(2.06 -2.57) \lvec(0.02 -2.57) %end rectangle \textref h:C v:C \htext (1.04 -1.55){} %end textrectangle %begin textrectangle %begin rectangle \move(0.06 -0.57) \lvec(0.06 -2.53) \move(0.06 -0.57) \lvec(0.53 -0.57) \move(0.53 -2.53) \lvec(0.53 -0.57) \move(0.53 -2.53) \lvec(0.06 -2.53) %end rectangle \textref h:C v:C \htext (0.29 -1.55){$u_1$} %end textrectangle %begin textrectangle %begin rectangle \move(0.57 -1.04) \lvec(0.57 -2.53) \move(0.57 -1.04) \lvec(1.04 -1.04) \move(1.04 -2.53) \lvec(1.04 -1.04) \move(1.04 -2.53) \lvec(0.57 -2.53) %end rectangle \textref h:C v:C \htext (0.81 -1.79){$u_2$} %end textrectangle %begin textrectangle %begin rectangle \move(1.08 -1.55) \lvec(1.08 -2.53) \move(1.08 -1.55) \lvec(1.55 -1.55) \move(1.55 -2.53) \lvec(1.55 -1.55) \move(1.55 -2.53) \lvec(1.08 -2.53) %end rectangle \textref h:C v:C \htext (1.31 -2.04){$u_3$} %end textrectangle %begin textrectangle %begin rectangle \move(0.57 -0.57) \lvec(0.57 -1.00) \move(0.57 -0.57) \lvec(2.02 -0.57) \move(2.02 -1.00) \lvec(2.02 -0.57) \move(2.02 -1.00) \lvec(0.57 -1.00) %end rectangle \textref h:C v:C \htext (1.29 -0.79){$a_1^T$} %end textrectangle %begin textrectangle %begin rectangle \move(1.08 -1.04) \lvec(1.08 -1.51) \move(1.08 -1.04) \lvec(2.01 -1.04) \move(2.01 -1.51) \lvec(2.01 -1.04) \move(2.01 -1.51) \lvec(1.08 -1.51) %end rectangle \textref h:C v:C \htext (1.54 -1.28){$a_2^T$} %end textrectangle %begin textrectangle %begin rectangle \move(1.59 -1.55) \lvec(1.59 -2.03) \move(1.59 -1.55) \lvec(2.02 -1.55) \move(2.02 -2.03) \lvec(2.02 -1.55) \move(2.02 -2.03) \lvec(1.59 -2.03) %end rectangle \textref h:C v:C \htext (1.80 -1.79){$a_3^T$} %end textrectangle %begin textrectangle %begin rectangle \move(1.59 -2.06) \lvec(1.59 -2.53) \move(1.59 -2.06) \lvec(2.02 -2.06) \move(2.02 -2.53) \lvec(2.02 -2.06) \move(2.02 -2.53) \lvec(1.59 -2.53) %end rectangle \textref h:C v:C \htext (1.80 -2.29){$s_4$} %end textrectangle %begin textrectangle \textref h:C v:C \htext (1.03 -0.28){$A$} %end textrectangle %begin textrectangle \textref h:C v:C \htext (3.7 -1.3){$\left[\begin{array}{cccc} \multicolumn{4}{c}{\mbox{---\!--\!---}y_1^T\mbox{---\!--\!---}} \\ \multicolumn{4}{c}{\mbox{---\!--\!---}y_2^T\mbox{---\!--\!---}} \\ \multicolumn{4}{c}{\mbox{---\!--\!---}y_3^T\mbox{---\!--\!---}} \\ \multicolumn{4}{c}{\mbox{---\!--\!---}y_4^T\mbox{---\!--\!---}} \end{array}\right]$} %end textrectangle %begin textrectangle \textref h:C v:C \htext (4.9 -0.48){$\hookrightarrow$} %end textrectangle %begin textrectangle %begin textrectangle \textref h:C v:C \htext (3.7 -0.27){$Y:=R^{-1}$} %end textrectangle %begin textrectangle \textref h:C v:C \htext (3.58 -3.03){$R= \left[\begin{array}{cccc} s_1 & & &a_1^T \\ &s_2 & &a_2^T \\ & &s_3 &a_3^T \\ {\boldsymbol{0}} & & &s_4 \end{array}\right]$} %end textrectangle %begin textrectangle \textref h:C v:C \htext (1.93 -3.35){$\longrightarrow$} %end textrectangle %begin textrectangle \textref h:C v:C \htext (2.7 -2.25){$\searrow$} %end textrectangle %begin textrectangle \textref h:C v:C \htext (3.7 -2.25){$\uparrow$} %end textrectangle %begin textrectangle \textref h:C v:C \htext (4.9 -1.8){$\hookleftarrow$} %end textrectangle %begin textrectangle \textref h:C v:C \htext (7.3 -1.36){$\begin{myframe}{6.7cm} Äëÿ $k=n-1,\ldots,2,1$ \\ \quad Äëÿ $r=1$ äî $n$ \\ \quad\;\; $\lambda=\alpha_k\sum\limits_{i=k}^{n}u_k(i-k+1)y_r(i)$\\ \quad\;\; Äëÿ $i=k$ äî $n$ \\ \qquad\;\; $y_r(i):=y_r(i)+\lambda u_k(i-k+1)$ \end{myframe}$} %end textrectangle %begin textrectangle \textref h:C v:C \htext (7.3 -2.84){$\downarrow$} %end textrectangle %begin textrectangle %\textref h:C v:C %\htext (5.8 -2.84){$\nwarrow$} %end textrectangle %begin textrectangle \textref h:C v:C \htext (7.3 -3.45){\begin{myframe}{2.08cm}$Y:=A^{-1}$\end{myframe}} %end textrectangle %begin textrectangle %begin rectangle \move(0.02 -2.57) \lvec(0.02 -3.08) \move(0.02 -2.57) \lvec(1.55 -2.57) \move(1.55 -3.08) \lvec(1.55 -2.57) \move(1.55 -3.08) \lvec(0.02 -3.08) %end rectangle \textref h:C v:C \htext (0.79 -2.82){} %end textrectangle %begin textrectangle %begin rectangle \move(0.02 -3.08) \lvec(0.02 -3.59) \move(0.02 -3.08) \lvec(1.55 -3.08) \move(1.55 -3.59) \lvec(1.55 -3.08) \move(1.55 -3.59) \lvec(0.02 -3.59) %end rectangle \textref h:C v:C \htext (0.79 -3.34){} %end textrectangle %begin textrectangle %begin rectangle \move(0.06 -3.11) \lvec(0.06 -3.56) \move(0.06 -3.11) \lvec(0.50 -3.11) \move(0.50 -3.56) \lvec(0.50 -3.11) \move(0.50 -3.56) \lvec(0.06 -3.56) %end rectangle \textref h:C v:C \htext (0.28 -3.34){$s_1$} %end textrectangle %begin textrectangle %begin rectangle \move(0.56 -3.11) \lvec(0.56 -3.56) \move(0.56 -3.11) \lvec(1.01 -3.11) \move(1.01 -3.56) \lvec(1.01 -3.11) \move(1.01 -3.56) \lvec(0.56 -3.56) %end rectangle \textref h:C v:C \htext (0.79 -3.34){$s_2$} %end textrectangle %begin textrectangle %begin rectangle \move(1.07 -3.11) \lvec(1.07 -3.56) \move(1.07 -3.11) \lvec(1.52 -3.11) \move(1.52 -3.56) \lvec(1.52 -3.11) \move(1.52 -3.56) \lvec(1.07 -3.56) %end rectangle \textref h:C v:C \htext (1.29 -3.34){$s_3$} %end textrectangle %begin textrectangle %begin rectangle \move(0.05 -2.60) \lvec(0.05 -3.05) \move(0.05 -2.60) \lvec(0.50 -2.60) \move(0.50 -3.05) \lvec(0.50 -2.60) \move(0.50 -3.05) \lvec(0.05 -3.05) %end rectangle \textref h:C v:C \htext (0.28 -2.83){$\alpha_1$} %end textrectangle %begin textrectangle %begin rectangle \move(0.56 -2.60) \lvec(0.56 -3.05) \move(0.56 -2.60) \lvec(1.01 -2.60) \move(1.01 -3.05) \lvec(1.01 -2.60) \move(1.01 -3.05) \lvec(0.56 -3.05) %end rectangle \textref h:C v:C \htext (0.79 -2.83){$\alpha_2$} %end textrectangle %begin textrectangle %begin rectangle \move(1.07 -2.60) \lvec(1.07 -3.05) \move(1.07 -2.60) \lvec(1.52 -2.60) \move(1.52 -3.05) \lvec(1.52 -2.60) \move(1.52 -3.05) \lvec(1.07 -3.05) %end rectangle \textref h:C v:C \htext (1.29 -2.83){$\alpha_3$} %end textrectangle \end{texdraw} \end{flushleft}