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      <title>Решение трёхдиагональной системы уравнений методом прогонки (алгоритм Томаса)</title>
      <author>Radovan Omorjan</author>
      <translator>Андрей Ивашов</translator>
      <description>Алгоритм решения трёхдиагональной системы линейных уравнений по методу прогонки. Метод также известен как алгоритм Томаса.
Пользователь задаёт матрицу коэффициентов уравнений и столбец ответов.
Результат сравнивается с ответом встроенного средства решения линейных уравнений программы.</description>
      <keywords>Примеры, Прогонка, Томас, Система уравнений, Решение</keywords>
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    <metadata lang="ind">
      <title>Penyelesaian persamaan simultan dengan matriks tridiagonal</title>
      <author>Radovan Omorjan</author>
      <translator>Waluyo Adi Siswanto</translator>
      <description>Algoritma matriks tridiagonal atau tridiagonal matrix algorithm (TDMA), juga dikenal sebagai algoritma Thomas. Metode ini merupakan penyederhanaan metode eliminasi Gauss yang dapat digunakan untuk menyelesaikan sistem persamaan simultan tridiagonal.
Pada contoh ini ditunjukkan bagaimana mengekstraksi elemen diagonal dari matriks dan bagaimana menggunakannya dalam perhitungan.</description>
      <keywords>Contoh, TDMA, Thomas, Tridiagonal, Matriks</keywords>
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      <title>Solve of tridiagonal system of equations</title>
      <author>Radovan Omorjan</author>
      <description>The tridiagonal matrix algorithm (TDMA), also known as the Thomas algorithm, is a simplified form of Gaussian elimination that can be used to solve tridiagonal systems of equations.
Example shows how to extract diagonals of the matrix and how to use it to calculate the result.</description>
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      <p bold="true">Решение трёхдиагональной системы уравнений
методом прогонки (алгоритм Томаса)</p>
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      <p bold="true">Penyelesaian persamaan simultan dengan Matriks Tridiagonal
(Algoritma Thomas)</p>
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      <p bold="true">Solve of tridiagonal system of equations
(Thomas algorithm)</p>
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      <p>Начальные данные:</p>
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      <p>Input data:</p>
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      <p>Вычисление:</p>
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    <text lang="ind">
      <p>Perhitungan:</p>
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      <p>Calculation:</p>
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    <text lang="rus">
      <p>Получение диагоналей</p>
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    <text lang="ind">
      <p>Ekstraksi elemen diagonal</p>
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    <text lang="eng">
      <p>Extracting diagonals</p>
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    <text lang="rus">
      <p>нижняя диагональ</p>
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      <p>subdiagonal bawah</p>
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      <p>lower subdiagonal</p>
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    <text lang="rus">
      <p>главная диагональ</p>
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    <text lang="ind">
      <p>diagonal utama</p>
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    <text lang="eng">
      <p>main diagonal</p>
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    <text lang="rus">
      <p>верхняя диагональ</p>
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    <text lang="ind">
      <p>subdiagonal atas</p>
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    <text lang="eng">
      <p>upper subdiagonal</p>
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      <p>Начало вычисления (алгоритм Томаса)</p>
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      <p>memulai perhitungan (algoritma Thomas)</p>
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      <p>Begining the calculation (Thomas algorithm)</p>
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        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">c</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">x</e>
        <e type="operand">i</e>
        <e type="operand">1</e>
        <e type="operator" args="2">+</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">*</e>
        <e type="operand">β</e>
        <e type="operand">i</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">:</e>
        <e type="function" preserve="true" args="3">for</e>
      </input>
    </math>
  </region>
  <region id="27" left="9" top="819" width="70" height="24" border="true" color="#000000" bgColor="#dddddd" fontSize="10">
    <text lang="rus">
      <p>Результат:</p>
    </text>
    <text lang="ind">
      <p>Hasil:</p>
    </text>
    <text lang="eng">
      <p>Result:</p>
    </text>
  </region>
  <region id="28" left="9" top="846" width="66" height="148" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
      </input>
      <result action="symbolic">
        <e type="operand">4</e>
        <e type="operand">5</e>
        <e type="operator" args="2">/</e>
        <e type="operand">3</e>
        <e type="operand">5</e>
        <e type="operator" args="2">/</e>
        <e type="operand">2</e>
        <e type="operand">5</e>
        <e type="operator" args="2">/</e>
        <e type="operand">1</e>
        <e type="operand">5</e>
        <e type="operator" args="2">/</e>
        <e type="operand">4</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="6">mat</e>
      </result>
    </math>
  </region>
  <region id="29" left="9" top="999" width="78" height="24" border="true" color="#000000" bgColor="#dddddd" fontSize="10">
    <text lang="rus">
      <p>Проверка:</p>
    </text>
    <text lang="ind">
      <p>Cek hasil:</p>
    </text>
    <text lang="eng">
      <p>Control:</p>
    </text>
  </region>
  <region id="30" left="9" top="1026" width="77" height="80" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">A</e>
        <e type="operand">x</e>
        <e type="operator" args="2">*</e>
      </input>
      <result action="numeric">
        <e type="operand">1</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">4</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="6">mat</e>
      </result>
    </math>
  </region>
  <region id="31" left="90" top="1026" width="62" height="80" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">d</e>
      </input>
      <result action="numeric">
        <e type="operand">1</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">4</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="6">mat</e>
      </result>
    </math>
  </region>
  <region id="32" left="9" top="1116" width="372" height="24" color="#000000" bgColor="#ffff80" fontSize="10">
    <text lang="rus">
      <p>Встроенными средствами SMath Studio</p>
    </text>
    <text lang="ind">
      <p>Menggunakan fungsi bawaan yang ada di SMath</p>
    </text>
    <text lang="eng">
      <p>Using built-in functionality of SMath Studio</p>
    </text>
  </region>
  <region id="33" left="9" top="1143" width="102" height="148" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">A</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operand">d</e>
        <e type="operator" args="2">*</e>
      </input>
      <result action="symbolic">
        <e type="operand">4</e>
        <e type="operand">5</e>
        <e type="operator" args="2">/</e>
        <e type="operand">3</e>
        <e type="operand">5</e>
        <e type="operator" args="2">/</e>
        <e type="operand">2</e>
        <e type="operand">5</e>
        <e type="operator" args="2">/</e>
        <e type="operand">1</e>
        <e type="operand">5</e>
        <e type="operator" args="2">/</e>
        <e type="operand">4</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="6">mat</e>
      </result>
    </math>
  </region>
</regions>