Theory and Computation of PDE Team

Rong Huang

Thursday, September 10, 2026 3:00 PM - 4:00 PM

Online

Zoom 518 868 7656 (BIMSA)

This talk addresses the accurate computation of singular values of a nonnegative bidiagonal product (NBP), where the factors may be rectangular and rank-deficient, and the product itself may have arbitrary rank. To handle the rank deficiency, we propose two strategies to deflate zero singular values. Our method exactly returns all zero singular values and computes all nonzero singular values with high relative accuracy. Moreover, the method naturally handles submatrix and product SVD problems without any full-rank assumptions, making it particularly suitable for rank deficient structured matrices such as Vandermonde and Cauchy matrices with repeated nodes. Error analysis and numerical experiments confirm the claimed high relative accuracy