4 papers
Singular value decomposition of unbounded operators
Rongbiao Thomas Wang, Haoming Wang, Lek-Heng Lim
The singular value decomposition has been established for matrices, Hilbert--Schmidt operators, trace-class operator, compact operators, and bounded operators, but surprisingly not…
Geometric Programming for 3D Circuits
Rongbiao Wang, Lek-Heng Lim
With the soaring demand for high-performing integrated circuits, 3D integrated circuits (ICs) have emerged as a promising alternative to traditional planar structures. Unlike exist…
Glivenko-Cantelli for -divergence
Haoming Wang, Lek-Heng Lim
We extend the celebrated Glivenko-Cantelli theorem, sometimes called the fundamental theorem of statistics, from its standard setting of total variation distance to all -diverge…
Summing divergent matrix series
Rongbiao Wang, JungHo Lee, Lek-Heng Lim
We extend several celebrated methods in classical analysis for summing series of complex numbers to series of complex matrices. These include the summation methods of Abel, Borel,…