Quick User’s Guide

SLAE SOLVER allows to find on a personal computer high accuracy solutions of linear algebraic systems with N equations, where N may reach hundreds or thousands (in the last case the process of finding a solution will be long enough).

Notations: A(N,N)- matrix of coefficients, B(N)- vector of coefficients, X(N) –unknown real variables of a system A(N,N) x X(N) = B(N).

The data files for the above system should contain N rows. Each row consist from values A(i,1) A(i,2) ....A(i,N) B(i) separated by a space. The values must be without commas.

1. Entering Data

a. Entering Data via Visual Interface

i. Entering N, dimension of the SLAE.

1. Enter N into the box “N=”.

2. Click on the “Accept N” button.

ii. Entering A(i,j),i,j=1,N,coefficients of the SLAE (elements of the matrix- A)

1. Select the first index –i of an element A(i,j).

2. Select the second index –j of an element A(i,j).

3. Enter the value A(i,j) into the box “A(i,j)=”.

4. Click on the “Accept A(i,j) “ button.

iii. Entering B(i), i=1,N elements of the B

1. Select the index –i of an element B(i).

2. Enter the value B(i) into the box “B(i)=”.

3. Click on the “Accept B(j)” button.

b. Entering Data from a File

i. Entering Data from a File

1. Click on the “File” Menu.

2. Select the “Open” item of the “File” Menu.

3. Select a file with the data and click “Open”.

ii. Connecting to the File in the case of large N (>300).

1. Click on the “File” Menu.

2. Select the “Connect” item of the “File” Menu.

3. Select a file with the data and click “Open”.

2. Finding a Solution (the data must be entered before you start this step)

a. Step by Step

1. Click on the “Next Step” button

The solution will appear in the right column of the table.

The current accuracy of the solution will appear in the field “Current accuracy”.

b. With a desired accuracy

1. Enter the desired accuracy into the “Desired accuracy” field.

2. Click on the “Find Solution” button.

The solution will appear in the right column of the table.

To improve the solution, click on the “Next Step” button.

3. Saving the data.

1. Click on the “File” Menu.

2. Select the “Save” item of the “File” Menu.

3. Type a name of the file and click “Save”.