LDU-Factorization-Calculator/assignment-02.html at main · Arpita-Tripathi/LDU-Factorization-Calculator · GitHub

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
<!DOCTYPE html>
<html lang="en">
<head>
    <title>LDU Factorization Calculator</title>
    <link rel="stylesheet" href="assignment-02.css">
</head>
<body>
        <div class="theory">
            <h1>LDU Factorization</h1>
            <p>
            LDU Factorization decomposes a square matrix ( A ) into three matrices:
            </p>
            <ul>
            <li><b>L</b>: Lower triangular matrix with ones on the diagonal.</li>
            <li><b>D</b>: Diagonal matrix with pivot elements of ( A ).</li>
            <li><b>U</b>: Upper triangular matrix with ones on the diagonal.</li>
            </ul>
            <p>
            This gives ( A = L D U ), simplifying linear systems and matrix inversion.
            </p>

        </div>
        <div class="container">
        <h1><u>LDU Factorization Calculator</u></h1>
        <div class="calculator">
            <label for="dimension">Enter a order of matrix:</label>
            <input type="text" id="dimension" min="1" >
            <button onclick="generateMatrix()">Generate Matrix</button>

            <div id="matrixInputs"></div>

            <button class="box" onclick="calculateL()">Calculate L</button>
            <button class="box" onclick="calculateD()">Calculate D</button>
            <button class="box" onclick="calculateU()">Calculate U</button>

            <div id="result"></div>

            <button onclick="showCalculationSteps()">Show Calculation Steps</button>

        </div>
    </div>

    <div class="Application">
        <h2>Applications</h2>
            <ul>
            <li>Solving linear systems by breaking into simpler steps.</li>
            <li>Finding matrix determinants as the product of diagonal entries in ( D ).</li>
            <li>Calculating matrix inverses by inverting ( L ), ( D ), and ( U ) matrices.</li>
            </ul>
    </div>
    <script src="#"></script>
</body>
</html>