Abstract: This article proposes a novel hardware-efficient QR algorithm and its VLSI architecture to compute the eigenvalue decomposition (EVD) of symmetric matrices. By replacing the computationally ...

This project demonstrates a GPU-accelerated QR-based eigenvalue computation using NVIDIA's CUDA, cuBLAS, and cuSOLVER libraries. It performs repeated QR factorizations on a given matrix and ...

Instead of analyzing the classical QR algorithm, which is very general and applicable to any mathematical problem, here we present the powerful \definitionWithSpecificIndex{Schur decomposition}{Schur ...

In chemistry, the properties of atoms and molecules can be determined by solving the Schrödinger equation. However, because the dimension of the problem grows exponentially with the size of the ...

Quantum Algorithm Directly Diagonalizes Quasi-Degenerate Manifolds, Resolving Low-Energy Eigenvalue Problems Researchers have developed a new computational method that accurately determines the energy ...