2-1 ????(Ordered List)

1
????

• 2-1 ????(Ordered List)
• 2-2 ????(array)
• 2-3 ??(matrix)???
• 2-4 ????????

2
2-1 ????(Ordered List)

• ????????,????????????????????????,??????
• ??????????,?????(a1,a2,a3...,an-1,an)?
• ??????????a1????????????an?
• ???????a1?,?????????????(precessor),??ai?????ai-1?
  
• ????????an?,?????????????(successor),??ai1?ai????
  ?

3
8??????

• ???????n?
• ???????i?????????
• ?????????i?,???????i,i1...,n?,????i1,i2...,n1?
  ?
• ???i????,????i1,i2,n?,?????i,i1...,n-1??
• ?????????????????????
• ??i?????,??????
• ?????
• ?????

4
?????????????

• ??????????,??????????
• ??????
• ???????(dense list),????????????????????(contiguou
  s allocation)????????????????????????
• ??????
• ???????(linked list),?????????????????????????????
  (pointer)????????????????

5
2-2 ????(array)

• ????
• ??????????(????????)????????????
• ??(dimension)??????????,??????????????????
• ?????????????,???????????????
• ??????????????????1?
• ????????????,??????????????????

6
????(one-dimension array)

• ??A???A(1u1),??A??n????????,??1???,u1????

A(1)?A(2) ? A(3) ?..................A(u1) a
?a1d?a2d ?.................a(
u1-1)d Loc(A(i)) a(i-1)d (Loc(A(i))??A(i)?????
)
7
????(two-dimension array)

• ????A???(1m,1n),??A?????mn??????????,??m
  ???n????????A(i,j)???????????

8
????????????

• ?????????,?????????
• ????(row-major)
• Loc(A(i,j)) an(i-1)d(j-1)d
• ????(column-major)
• Loc(A(i,j)) a(i-1)dm(j-1)d

9
????(three-dimension array)

• ????A???A(1u1,1u2,1u3),??A?????u1u2u3????????
  ?????A(i,j,k)?????????????

10
????-????

• ????(row-major)
• Loc(A(i,j,k))a(i-1)u2u3d(j-1)u3d(k-1)d

11
????-????

• ????(column-major)
• Loc(A(i,j,k))a(i-1)u2u3d(j-1)u3d(k-1)d

12
n???

• ????(row-major)

Loc(A(i1,i2,i3,in)) a(i1-1)u2u3u4und
(i2-1)u3u4und (i3-1)u4u5und
(i4-1)u5u6und (i5-1)u6u7und
(in-1-1)und (in-1)d
13
n???

• ????(column-major)

Loc(A(i1,i2,i3,in)) a(in-1)un-1un-2u1d
(in-1-1)un-2u1d
(i2-1-1)u1d (i1-1)d
14
2-3 ??(matrix)???

• ???,?????(matrix)?????????????????
• ??????????,???????????????,???????????????,???????
  ?(sparse matrix)?????(At)???????(Upper Triangular
  Matrix)???????(Lower Triangular Matrix)???

15
?????
16
????

• ??A?mxn??,?At?nxm??,????A(i,j)At(j,k)??At?A??????
  

17
?????

• A???mxn??,B???nxp?????A????????B????????
• AxB??????????mxp??C?

18
?????????
19
????(Sparse Matrix)

• ????????????????????????0,???????????

20
???????

• ??????????????
• ?????????????n?????,????????A(0t,13)???????????
  A(0,1)??????????,A(0,2)??????????,?A(0,3)?????????
  ??????

21
???????????
22
??????(Upper Triangular Matrix)

• ???????????????????0?nxn????????????????(Right
  Upper Triangular Matrix)????????(Left Upper
  Triangular Matrix)?

23
???????
24
????
25
????
26
???????
27
??????(Lower Triangular Matrix)

• ????????,?????????????0?nxn???
• ???????B(1n(n1))???,??????????????????????????

28
???????
29
???????
30
2-4 ?????????

• ?????????,??????????
• ????n2?????????,??????????????n,????????n??,?????
  ?????
• P(n,an,an-1,,a1,a0)???A(1n2)
• ??P(x)2x53x45x24x1,?????A?????gtA5,2,3,0,5,
  4,1
• ????????????
• P(x)2x53x45x24x1,????A(12m1)??
• gtA5,2,5,3,4,5,2,4,1,1,0