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Theory and applications of the shift-invariant, time-varying and undecimated wavelet transforms
In this thesis, we generalize the classical discrete wavelet transform, and construct wavelet transforms that are shift-invariant, time-varying, undecimated, and signal dependent. The result is a set of powerful and efficient ...
Analysis and implementation of an implicitly restarted Arnoldi iteration
The Arnoldi algorithm, or iteration, is a computationally attractive technique for computing a few eigenvalues and associated invariant subspace of large, often sparse, matrices. The method is a generalization of the Lanczos ...
Optimal control of time evolution systems: Controllability investigations and numerical algorithms
Optimal control problems for partial differential equations of evolution, mostly of parabolic type, are considered. The means of control are a nonhomogeneous boundary condition or forcing term. A hierarchical control problem ...