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ρ(J) = λeff(W)
||ecen(t)||2 ≤ λ t eff(W)||ecen(0)||2 + 2p(n − 1)σJλ t−1
eff (W)t,
ρ(J) = λeff(W)
||ecen(t)||2 ≤ λ t eff(W)||ecen(0)||2 +
2p(n − 1)σJ
ρ(J) − λeff(W) (ρt (J) − λ t eff(W)).
λeff(W) < 1 G λt eff (W)||ecen(0)||2
t → ∞
ecen(0) ρ(J) = λeff(W) λt eff (W)t
t ≥ λeff(W)
1−λeff(W) t → ∞ ρ(J) = λeff(W)
(ρ t (J) − λ t eff (W)) λeff(W)
ρ(J) < 1 limt→∞ ||ecen(t)||2 = 0
||ecen(t)||2 = 0 ecen(t) = 0
Z p n M p n
A = [Aij] A ∈ R np×np Aij p × p
i, j ∈ {1, . . . , n}
A Zp n Aij i, j ∈ {1, . . . , n}
Aij 0 i, j ∈ {1, . . . , n}, j = i. ˆ Zp n A ∈ Zp n
Aii ≻ 0 i ∈ {1, . . . , n} A M p n A ∈ ˆ Zp n
u1, . . . , un > 0
n
ujAij ≻ 0 for all i ∈ {1, . . . , n}.
j=1
A ∈ Zp n ∀J ⊂ {1, . . . , n}
i ∈ J
j∈J Aij
≻ 0 π
j≥i Aπ(i),π(j) ≻ 0 i ∈ {1, . . . , n}
A ∈ Zp n u1, . . . , un > 0
n
Aijuj 0, for all i ∈ {1, . . . , n}.
j=1
π {1, . . . , n}
Aπ(i),π(j)uπj ≻ 0, for all i ∈ {1, . . . , n}.
A ∈ M p n
j≥i