Error Analysis of Krylov Subspace approximation Based on IDR($s$) Method for Matrix Function Bilinear Forms

Qianqian Xue, Xiaoqiang Yue, Xian-Ming Gu

The matrix function bilinear form, namely ${\mathbf{u}}^{\top }f(A)\mathbf{v}$, appears in many scientific computing problems, where $\mathbf{u},\mathbf{v}\in {\mathbb{R}}^n$, $A \in \…