Tridiagonal and Band Diagonal Systems of Equations

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Tridiagonal and Band Diagonal Systems of Equations
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Tridiagonal and Band Diagonal Systems of Equations Overview Definition Tridiagonal Matrix: a band matrix that has non-zero elements on the main diagonal, the first diagonal above the main diagonal (superdiagonal) and the first diagonal

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Tridiagonal and Band Diagonal Systems of Equations<br>
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Overview Definition
Tridiagonal Matrix: a band matrix that has non-zero elements on the main diagonal, the first diagonal above the main diagonal (superdiagonal) and the first diagonal below the main diagonal (subdiagonal) only.<br>
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Tridiagonal Example Matrix The only non-zero elements in a tridiagonal matrix or on the diagonal, superdiagonal, and subdiagonal.

The Main Diagonal elements are B11 - B66
The superdiagonal has elements B12 - B56
The subdiagonal has elements B21 - B65<br>