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R. Aragüés (1980, Zaragoza) recei
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R. Aragüés (1980, Zaragoza) recei
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R. Aragüés (1980, Zaragoza) recei
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R. Aragüés (1980, Zaragoza) recei
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R. Aragüés (1980, Zaragoza) recei
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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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• •
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• •
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k−
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•
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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
- Page 68 and 69: n i, j r, s G
- Page 70 and 71: i [I k j ]r,s [i k j ]r
- Page 72 and 73: LW = diag(W 1) − W
- Page 74 and 75: Y = P T ZP r S2 . . . Sn 0 P = 0
- Page 76 and 77: exw(t) exw(t + 1) = A exw(t), exw(
- Page 78 and 79: k1a k2b |k1a−k2b| ≤ max{k
- Page 80 and 81: k x k ∗ = rr T u k = 1x k avg, w
- Page 82 and 83: k − 1 k β k λ t
- Page 84 and 85: i ∈ V
- Page 86 and 87: A(t + kl) t k Ψ (t1 +
- Page 88: 15 10 5 0 −5 −10 −15 −5 0 5
- Page 91 and 92: 15 10 5 0 −5 −10 −15 −5 0 5
- 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
- Page 99 and 100: i ∈ Vcom, r ∈ Si.
- 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
- Page 105 and 106: f i r ∈ ˜ Si Xij ¯r ∈
- Page 107 and 108: f i r ∈ ˜ Si i f i r
- Page 109 and 110: , s ∈ C [C]r,s ≥ 0, C,
- Page 111 and 112: 1, . . . , rℓ, Cℓ.
- Page 113 and 114: 0 6 1 9 7 8 8 3 1 0 7 9 8 8 3 6 1 6
- Page 115 and 116: 10 8 6 4 2 0 −2 −4 −6 −8
- Page 117: Gdis
- Page 121 and 122: Gdis
- Page 123 and 124: j G i Ni
- Page 125 and 126: G i pi G = (Ri G , T i
- Page 127 and 128: i ∈ V n 2 log(ɛ −1 )
- Page 129 and 130: ˜θ a V a ˆpa V a ∈ R3(n−1
- Page 131 and 132: ci = − Ci = e=(i,j)∈E e=(i,j)
- Page 133 and 134: Mi M1 = Υ xy ˜z + e e=(i,j)∈
- Page 135 and 136: pi i xi
- Page 137 and 138: G Σz1, . . . , Σzm
- Page 139 and 140: Σˆx cen V Qii = Pii − 1 n
- Page 141 and 142: (W ⊗ Ip)Hcen = Hcen P = 0
- Page 143 and 144: A + A T ∈ M p n, D = blkDiag (A11
- Page 145 and 146: −6 −6.5 −7.5 −8.5 0 4 8 10
- Page 147 and 148: 5 4 3 2 1 0 −1 −2 −3 −4 R 2
- Page 149 and 150: i ∈ V blkTr(Σˆx i )
- Page 151 and 152: 35 30 25 20 15 10 5 0 0 200 400 600
- Page 153 and 154: k−
- Page 155 and 156: n
- Page 157 and 158: ˆxr(k) = (ˆxk, ˆyk, ˆ θk) T
- Page 159 and 160: ˆx(k + 1) = x(k + 1|k + 1) P(k +
- Page 161 and 162: 8 6 4 2 0 −2 F1 Initial m
- Page 163 and 164: W λ2(W ) W
- Page 165 and 166: λn(L) ≤ 2dmax G λ⋆(L)
- Page 167 and 168: i j ∈ Ni i n
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i [C k ]ij j ∈ V i − th
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C k 2 C k ∞ C k ( √ n
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ε ∈ (0, 1) β = ε/(2n)
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15 10 5 0 −5 −10 r1 r2 r3 gt F6
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10 8 6 4 2 0 0 2 4 6 8 10
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14 12 10 8 6 4 2 0 −2 λ * (L) Es
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20 10 0 −10 −20 −30 −40 −
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20000 10000 0 2000 1000 −1000 0 2
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5.8 5.6 5.4 0.2 −0.2 0 20 40
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15 10 5 0 −5 −10 −15 −5
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6 4 2 0 −2 −4 ST R1 R2 R3 R4 R5
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6 4 2 0 −2 −4 ST GM R1 R2 R3 R4
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10 0 −10 −20 −30 −40 −50
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(C) msum
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y 1000 500 −500 2000 1000 0 z
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y 1000 0 −1000 3000 2000 1000 z 0
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R1 R1
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2000 1000 0 −1000 −1000 0 1000
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2000 1000 0 −1000 −1000 0 1000
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2000 1000 0 −1000 −1000 0 1000
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2000 1000 0 −1000 −1000 0 1000
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2000 1000 0 −1000 −1000 0 1000
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2000 1000 0 −1000 −1000 0 1000
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O(n)
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p
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i ∈ V zi(0) ∈ R W ∈ R n
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20 10 0 −10 −20 −30 −40 −