Miscellaneous applications
Functional bases of numerical analysis

Article REF: AF1223 V1

Miscellaneous applications
Functional bases of numerical analysis

Author : Claude BREZINSKI

Publication date: April 10, 2013 | Lire en français

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6. Miscellaneous applications

We'll now take a look at different applications.

6.1 Variational methods for solving equations

We want to solve Lu = f in a Hilbert space H (real for simplicity) with L self-adjoint and positive definite.

This problem is equivalent to that of minimizing the functional

J (u) = \frac{1}{2} (Lu, u) - (u, f)

...

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Bibliography

(1) - BREZINSKI (C.) - Padé – Type Approximation and General Orthogonal Polynomials - ISNM, vol. 50, Birkhäuser-Verlag, Basel (1980).
(2) - BREZINSKI (C.) - Projection Methods for Systems of Equations - North-Holland, Amsterdam (1997)....

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