Математическое моделирование при ортогонализации матриц. Черный А.А. - 19 стр.

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19
n
mm
xv = ; (2)
(
)
2
n
m
n2
m
rn
m
r
m
n
m
m
xx
xxx
a
=
+
; (3)
(
)
n
mm
r
mm
xaxc += ; (4)
()
2
2 n
m
n
m
sn
m
s
m
n
m
m
xx
xxx
Р
=
+
;
)xxx(Pxxxt
rn
m
r
m
n
mm
sr
m
s
m
r
mm
++
+=
1
;
]x)x[(Pa)xxx(at
n
m
n
mmm
sn
m
s
m
n
mmm
22
2
+=
+
;
)xxx(a)x(xt
r
m
n
m
rn
mm
r
m
r
mm
+=
+
2
22
3
;
                        v m = − x nm ;                                              (2)

                             x nm ⋅ x rm − x nm+ r
                    am =                                            ;               (3)
                                 x 2mn   −   ( ) x nm
                                                            2




                             (
                   c m = − x rm + a m ⋅ x nm                    )       ;           (4)

                            xmn ⋅ xms − xmn+ s
                     Рm =                               ;
                              x   2n
                                  m      ( )
                                       − x   n
                                             m
                                                 2




     t m1 = x mr ⋅ x ms − x rm+ s + Pm ( x mn ⋅ x mr − x mn+ r )
                                                                            ;

t m 2 = a m ( x mn ⋅ x ms − x nm+ s ) + a m Pm [( x mn )2 − x m2 n ]
                                                                            ;

         t m3 = x m2 r − ( x mr ) 2 + 2a m ( x mn + r − x mn − x mr )
                                                                                ;




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