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Numerical solutions of matrix equations arising in model reduction of large-scale linear -time -invariant systems
This thesis presents and analyzes new algorithms for matrix equations arising from model reduction of linear-time-invariant (LTI) systems. Such systems arise in a variety of areas, especially in circuit simulation. When ...
Enhanced compressed sensing using iterative support detection
I present a new compressive reconstruction algorithm, which aims to simultaneously achieve low measurement requirement and fast reconstruction. This algorithm alternates between detecting partial support information of the ...
Recursive identification and model reduction from time domain data
In a system theoretic setting, identification from time domain data can be viewed as interpolating derivatives of a rational function. Typically, rational interpolation of derivatives requires computing the singular value ...