PNAS

Inflationary dynamics for matrix eigenvalue problems

Many fields of science and engineering require finding eigenvalues and eigenvectors of large matrices. The solutions can represent oscillatory modes of a bridge, a violin, the disposition of electrons ...
GitHub

aiday-mar/cpp_eigenvalues_project

In this project, we created a simple c++ library to calculate eigenvalues and eigenvectors. The library is build with a CMakeLists.txt created in CLion and uses googletests for the testing. A ...
INSPIRE

Recursive quantum eigenvalue and singular-value transformation: Analytic construction of matrix sign function by Newton iteration

Quantum eigenvalue transformation (QET) and its generalization, quantum singular value transformation (QSVT), are versatile quantum algorithms that allow us to apply broad matrix functions to quantum ...
IEEE

Eigenvalue Decomposition of a Parahermitian Matrix: Extraction of Analytic Eigenvalues

Abstract: An analytic parahermitian matrix admits an eigenvalue decomposition (EVD) with analytic eigenvalues and eigenvectors except in the case of multiplexed data. In this paper, we propose an ...
IEEE

Eigenvalue Decomposition of a Parahermitian Matrix: Extraction of Analytic Eigenvectors

Abstract: An analytic parahermitian matrix admits in almost all cases an eigenvalue decomposition (EVD) with analytic eigenvalues and eigenvectors. We have previously defined a discrete Fourier ...