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MATHCAD 2000 ί ί Ͳ ̳ ³ ...

-- [ 4 ] --

4.1. MathCAD . , :=, :=-1 * (.

4.1).

[11,15,16], MathCAD, , lsolve (A, B), . n, n, nn. .4.1.

4.2. , Given :

Given г Find Minerr .

:

Find (v1, v2, , vn) .

Minerr (v1, v2, , vn) .

̳ . , ( ). .

Minerr . , , , .

.

34.4.1.

4.3. MathCAD ( ), [12,14], .

, .

, , , 10.

, Matrix MathCAD, 1010 . , , , lsolve. Given .

, 13 , MathCAD . 4.2. , Find .

35.4.2. (n=13)

[12].

[7,17].

-1. ᒺ :

   

, r+s=n, n . -1

   

12 2111112 22 11112.

, , :

(4.2) 11 111 12 21111. (4.3)

(4.1) :

(4.4) 21 22 21111. (4.5) 44 .4.3, augment (M1,M2) stack (M1,M2). ᒺ 1 2, , ᒺ 1 2, .

10 MathCAD , , (4.2)(4.5), ᒺ , R1, R2, R3, R4. ֳ (4.2)(4.5).

.4.3.

Ͳ

1. MathCAD .

2. MathCAD?

3. Given?

4. Find Minerr?

5. .

6. MathCAD?

1. 13 ( 4), .

2. MathCAD, , .

3. , , n=13, MathCAD.

1. .

2. .

2.1. , Given MathCAD.

2.2. .

2.3. , MathCAD.

2.4. .

2.5. .

:

, Given.

1) Given 13 .

2) .

3) .

4) .

5) .

6)

5

MathCAD .

5.1. [15,16,18] , ( ) [7]. . , , .




140 .


. .

, y(x)

   

, y(x) (5.1), (x0, y0).

MathCAD 2000 .

[17], , xk+1 = xk + h, xk. 0 , . -, , - [17].

5.2. MathCAD

, :

rkadapt(y, x1, x2, acc, n, F, k, s) , 1 2 ,

   

1(0)=0, 2(0)=0,5.

.5.1. rkfixed. , F(x,y), Z.

, .

.5.1. MathCAD

Ͳ

1. .

2. .

3. ?

4. MathCAD.

5. MathCAD ?

6. MathCAD ?

7. rkfixed.

8. MathCAD ?

9. MathCAD ?

1. , .

2. MathCAD.

3. MathCAD.

4. .

1. .

2. .

2.1. y`=f(x,y) [a;b] y(x0)=y0 h, ( 5, .5.1), rkfixed MathCAD.

2.2. [0;3] 0,1 2- , ( 5, .5.2), rkfixed MathCAD, dy1 y1 0 0;

dx y 2 ;

dy 2 dx f x, y1, y 2 ; y 2 0 y 20.

2.3. .

2.4. ' .

2.5. MathCAD .

:

1. , .

2. MathCAD .

3. .

4. MathCAD .

6

   

, , MathCAD, .



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