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Let be a tridiagonal matrix with order such that the diagonal elements are...

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Let be a tridiagonal matrix with order such that the diagonal elements are equal to , the upper diagonal elements are equal to and the lower diagonal elements are equal to . Build a vector , whose elements are equally spaced values in , and solve the linear system , using the SVD decomposition of . Within the steps of such method, let be the solution of the linear system with coefficient matrix ; the quantity is approximately:

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