iVI: An iterative vector interaction method for large eigenvalue problems
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Updated: Feb 24, 2026

Author Spotlight: Addressing Regulatory Gaps in Molecular Studies by Quantifying Viral Vectors in Complex Matrices
Published on: July 14, 2023
Chao Huang1, Wenjian Liu1, Yunlong Xiao1
1Beijing National Laboratory for Molecular Sciences, Institute of Theoretical and Computational Chemistry, State Key Laboratory of Rare Earth Materials Chemistry and Applications, College of Chemistry and Molecular Engineering, and Center for Computational Science and Engineering, Peking University, Beijing, 100871, People's Republic of China.
Abstract:
Based on the generic "static-dynamic-static" framework for strongly coupled basis vectors (Liu and Hoffman, Theor. Chem. Acc. 2014, 133, 1481), an iterative Vector Interaction (iVI) method is proposed for computing multiple exterior or interior eigenpairs of large symmetric/Hermitian matrices. Although it works with a fixed-dimensional search subspace, iVI can converge quickly and monotonically from above to the exact exterior/interior roots. The efficacy of iVI is demonstrated by taking both mathematical and physical matrices as examples. © 2017 Wiley Periodicals, Inc.
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