Personal notes for applied maths and actuarial science thesis / Trace ratio optimization
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Updated
Jan 9, 2023 - TeX
Personal notes for applied maths and actuarial science thesis / Trace ratio optimization
Exact diagonalization of 1D Heisenberg model with Lanczos tridiagonalization
Temporal Graph Centralities in Financial Risk and Network Dynamics: Quantifying node influence in time-evolving networks via numerical linear algebra. Features standard and novel temporal centralities optimized with GMRES and stochastic trace estimation (XTrace). Applied to high-frequency S&P 100 and Binance cryptocurrency correlation graphs.
Some extensions of Eigen
Final project for the course in Development Tools in Scientific Computing. Our aim is to develop a package containing an eigenvalue solver. Documentation available at: see the link below
Some notes on linear algebra and numerical linear algebra
A Python implementation of the Quadratic sieve algorithm for factoring large integers
Lanczos program for large sparse Hermitian matrices (Fortran 95 with C99 interface)
Create a screenshot of the last frame from a .mp4 video
A classical and block Lanczos library on CPU and GPU in C and Fortran language.
This package implements the Lanczos algorithm and the conjugate gradient method on an irregular grid.
Numerical simulation and analysis of the physical properties of the 1D Quantum Ising model at 0°K.
C++ heavily templated code for single- and many-body hamiltonians with inbuilt chaotic indicators, spectral functions and many more. The algebra is based on the ARMADILLO C++ package.
Current Research Work - Nuclear Shell Model - Developing effective interaction for fpg9/2d5/2 model space and Study of Double Gamow-Teller and Double beta decay Strength
A free and open source implementation of the DMRG Algorithm
Eavesdropper detection & quantum channel benchmarking for QKD- Physical Bridge, Lindblad extension, error diagnostics, Krylov complexity, one-way function property
A Python implementation of the General number field sieve algorithm for factoring large integers
Code to accompany: "Measurement-efficient quantum Krylov subspace diagonalisation".
ESP32 reading images from SD card and scaling them to fit screen size using algorithm.
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