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zθ ∈ Rm Σzθ ∈ Rm×m ± π 2 ˜θ a V a = Σ˜ θ a V a Aa Σ −1 zθ zθ, Σ˜ θ a V a = A a Σ −1 zθ (Aa ) T −1 , Aa ∈ {0, 1, −1} n−1×m a A ˜ θa i = 0 i = a ˜ θa V ∈ Rn Σ˜ θa R V n×n V a ˜θ a V = (0, ( ˜ θ a V a)T ) T , Σ˜ θ a V = Diag(0, Σ˜ θa ). Va z θ e e = (i, j) i ˜ θ a V e = (i, j) ∈ E ˜ Re ∈ R 2×2 ˜ Se ∈ R 2×2 ˜ θi i ˜Re = R( ˜ θ a cos ˜a θi i ) = sin ˜ θa i − sin ˜ θa i cos ˜ θa i , Se ˜ = S( ˜ θ a − sin ˜a θi i ) = − cos ˜ θa i cos ˜ θa i − sin ˜ θa i , ˜ R ∈ R 2m×2m m ˜R = R( ˜ θ a V) = blkDiag( ˜ R1, . . . , ˜ Rm). w ∈ R2m+(n−1) Σw ˜zxy w = ˜θV a ˜R 0 zxy = 0 In−1 ˜θV a , T K J Σzxy 0 K 0 Σw = , 0 In−1 0 Σ˜ θV a J T In−1 K ∈ R 2m×2m J ∈ R 2m×(n−1) zxy ˆ θ K = ˜ R, and Je,i = ˜ Se z xy e if e = (i, j) for some j, and Je,i = 02×1 otherwise. ˆx a V a ∈ R2(n−1) a ˆ θ a V a ∈ Rn−1
˜θ a V a ˆpa V a ∈ R3(n−1) ˆp a Va = ˆx a V a ˆθ a V a = Σˆp a VaBΣ−1 w w, Σˆp a Va = BΣ −1 w B T −1 , B = blkDiag ((A a ⊗ I2), In−1) Σw w ˆp a V ∈ R3n V a ˆp a V = (0 T 3×1, (ˆp a Va)T ) T , Σˆp a V = blkDiag(03×3, Σˆp a ). V ˆx a V a ˆ θ a V a ˆx a V a = L−1 (A a ⊗ I2)Υ˜zxy I2m + JΣˆ θ a V a J T Υ˜zxyE ˜R zxy, ˆθ a V a = (Aa Σ −1 zθ (Aa ) T ) −1 A a Σ −1 zθ zθ + Σˆ θ a V a J T Υ˜zxyE ˜ R zxy, where Υ˜zxy = ( ˜ RΣzxy ˜ R T ) −1 , E = (A a ⊗ I2) T L −1 (A a ⊗ I2)Υ˜zxy − I2m, Σˆ θ a V a = ((Σ˜ θ a V a )−1 − J T Υ˜zxyEJ) −1 , L = (A a ⊗ I2)Υ˜zxy(A a ⊗ I2) T , ˆp a V ˆx a V ˆ θa V ˜ θ a V a Σ˜ θ a V a ˜θ a V a = Σ˜ θ a V a Aa Σ −1 zθ zθ, Σ˜ θ a V a = (Aa Σ −1 zθ (Aa ) T ) −1 . w Σw w = ˜zxy ˜θ a V a ˜Rzxy = ˜θ a V a ˜RΣzxy , Σw = ˜ RT + JΣ˜ θa Va J T JΣ˜ θa Va Σ˜ θa Va J T Σ˜ θa Va ˆp a Va = ˆx a V a ˆθ a V a T . = (BΣ −1 w B T ) −1 BΣ −1 w w.
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R. Aragüés (1980, Zaragoza) recei
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n n
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n n
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y 1000 500 −500 2000 1000 0 z
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k−
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•
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(x, y)
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ρi = 0
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j xr zj
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xri i = 1, 2 zij j
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• (xr, yr,
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% final divergence number of steps
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14 12 10 8 6 4 2 0 −2 −4 FINAL
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14 12 10 8 6 4 2 0 −2 −4 FINAL
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i mi ∈ N i
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i Hi Hi
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Lchild i Li Lchild j
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i Li(0) = Li, I i G(0) = Σ
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ˆ Σi G (t)−Qi G (t)
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10 8 6 4 2 0 −2 −4 −6 −8
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10 8 6 4 2 0 −2 −4 −6 −8
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10 8 6 4 2 0 −2 −4 −6 −8
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n i, j r, s G
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i [I k j ]r,s [i k j ]r
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LW = diag(W 1) − W
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Y = P T ZP r S2 . . . Sn 0 P = 0
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exw(t) exw(t + 1) = A exw(t), exw(
Page 78 and 79: k1a k2b |k1a−k2b| ≤ max{k
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Page 93 and 94: i th f i r A, Ar,s [A]r,s
Page 95 and 96: msum |Fdis| = n i=1 mi = msum
Page 97 and 98: i, ti t, Xij(t) ∼ Xij(t
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Page 101 and 102: 3 < df = 7 f A 1 f A 2
Page 103 and 104: [ji]s,r (d) i f i r Cq
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Page 124 and 125: 0 < θi < π i ∈ V
Page 126 and 127: lim t→∞ T i G(t) = (R i ) T T
Page 130 and 131: ˆx a Va ˆ θa Va Υw = Σ
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Page 168 and 169: i ˜ Cij(k) ˜ Cij(k) = 0
Page 170 and 171: T = diam(G) βi(T ) i ∈ V
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14 12 10 8 6 4 2 0 −2 λ * (L) Es
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60m × 45m
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