Haibo Li

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Questions related from Haibo Li

Lower bound of matrix spectral norm?

I meet a problem when I read a paper:

05 January 2024 1,533 0 View

How to numerically compute null space of a large-scale matrix?

I have a large sparse matrix A which is column rank-defficient. Typical size of A is over 100000x100000. In my computation, I need the matrix W whose columns span the null space of A. But I do not...

05 October 2023 8,767 5 View

How to exploit QR factorization implicitly?

For large-scale matrix Aand vector v, I want to to compute R^{-1]v, where A=QR is the QR factorization of A. The explicit computation of QR and R^{-1} is unaffordable. Is there any iterative...

26 November 2022 1,709 3 View

How to numerically compute null space of a large-scale matrix

I have a large sparse matrix A which is column rank-defficient. Typical size of A is over 100000x100000. In my computation, I need the matrix W whose columns span the null space of A. But I do not...

01 January 1970 7,152 3 View

Lower bound of matrix spectral norm

I meet a problem when I read a paper:

01 January 1970 894 0 View

Upper bound for optimal parameter in Tikhonov regularization

For ill-posed equation $$Ax=b $$ where $A\in\mathbb{R}^{m\times n}$ and $b=b_{ex}+e$ is perturbed by noisy vector $e$ with unknown exact data $b_{ex}=Ax_{ex}$ (suppose $\|e\|

01 January 1970 5,567 0 View