Zhengbo Zhou Research announcements and notes on numerical linear algebra, matrix computations, and MATLAB. https://zbzhou.com/ 2026-09-05T00:00:00Z Zhengbo Zhou Computing accurate singular values using a mixed-precision one-sided Jacobi algorithm https://zbzhou.com/posts/2026-02-21-Post1.html 2026-02-21T00:00:00Z 2026-09-05T00:00:00Z How a mixed-precision one-sided Jacobi algorithm improves singular value accuracy, with error analysis, code, and experiments. Computing accurate eigenvalues using a mixed-precision Jacobi algorithm https://zbzhou.com/posts/2025-08-24-Post4.html 2025-08-24T00:00:00Z 2025-08-24T00:00:00Z Mixed-precision preconditioning of the Jacobi algorithm for accurate eigenvalues of symmetric positive definite matrices. What's new in MATLAB R2025a https://zbzhou.com/posts/2025-05-29-Post3.html 2025-05-29T00:00:00Z 2025-05-29T00:00:00Z Selected MATLAB R2025a updates, including the desktop, editor, sparse matrices, and Copilot. Randomized algorithm for trace estimation https://zbzhou.com/posts/2025-03-08-Post2.html 2025-03-08T00:00:00Z 2025-03-08T00:00:00Z Randomized trace estimation: the Girard-Hutchinson estimator, Monte Carlo sampling, and newer algorithms. One-sided Jacobi algorithm https://zbzhou.com/posts/2025-03-07-Post1.html 2025-03-07T00:00:00Z 2025-03-07T00:00:00Z The one-sided Jacobi algorithm for singular values, including preconditioning, accuracy, and LAPACK implementations. What's new in MATLAB R2024b https://zbzhou.com/posts/2024-09-27-Post2.html 2024-09-27T00:00:00Z 2024-09-27T00:00:00Z Selected MATLAB R2024b features for numerical computing, including approximate equality and regularization. Cholesky QR Algorithm https://zbzhou.com/posts/2024-06-21-Post1.html 2024-06-21T00:00:00Z 2024-06-21T00:00:00Z How Cholesky QR computes a QR factorization, why it can lose stability, and how to improve it. The Jacobi algorithm for eigenvalues https://zbzhou.com/posts/2023-12-08-Post2.html 2023-12-08T00:00:00Z 2023-12-08T00:00:00Z An introduction to the Jacobi eigenvalue algorithm, its rotations, convergence, and pivot strategies. A MATLAB function to generate random symmetric matrix https://zbzhou.com/posts/2023-12-06-Post1.html 2023-12-06T00:00:00Z 2023-12-06T00:00:00Z A MATLAB function for generating random symmetric matrices with prescribed singular values and condition numbers.