User Manual

Section 4: Using Matrix Operations 101
One-Step Residual Correction
The following program solves the system of equations AX = B for X, then performs one
stage iterative refinement to improve the solution. The program uses four matrices:
Matrix
A
B
C
D
Input
System
Matrix
Right-Hand
Matrix
Output
System
Matrix
Corrected
Solution
Uncorrected
Solution
LU Form
of A
Keystrokes
Display
|¥
Program mode.
´CLEARM
000-
´bA
001-42,21,11
l>A
002-45,16,11
O>Á
003-44,16,14
Stores system matrix in D.
l>B
004-45,16,12
l>Á
005-45,16,14
´<C
006-42,26,13
÷
007- 10
Calculates uncorrected solution, C.
´<B
008-42,26,12
´>6
009-42,16, 6
Calculates residual, B.
l>Á
010-45,16,14
÷
011- 10
Calculates correction, B.
l>C
012-45,16,13
+
013- 40
Calculates refined solution, B.
|n
014- 43 32
|¥
Run mode.
Label used: A.
Matrices used: A, B, C, and D.
To use this program:
1. Dimension matrix A according to the system matrix and store those elements in A.
2. Dimension matrix B according to the right-hand matrix and store those elements in B.
3. Press GA to calculate the corrected solution in matrix B.