Guohong Liu

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The classic Lanczos method is an effective method for tridiagonalizing real symmetric matrices. Its block algorithm can significantly improve performance by exploiting memory hierarchies. In this paper, we present a block Lanczos method for tridiagonalizing complex symmetric matrices. Also, we propose a novel componentwise technique for detecting the loss(More)
This paper aimed to investigate the influences of operational parameters and aqueous chemical conditions on transport behaviors of cerium oxides nanoparticles (CeO2-NPs) in saturated silica media. Results indicated that increasing rates of attachment efficiency (α) were related with cationic types, and critical deposition concentration (CDC) for divalent(More)
In this paper, a third-order moment-based estimation of signal parameters via rotational invariance techniques (ESPRIT) algorithm is proposed for passive localization of near-field sources. By properly choosing sensor outputs of the symmetric uniform linear array, two special third-order moment matrices are constructed, in which the steering matrix is the(More)
— Collocation methods based on quartic splines are presented for second-order two-point boundary value problems. In order to obtain a uniquely solvable linear system for the degrees of freedom of the quartic spline colloca-tion approximation, in addition to the boundary conditions specified by the problem, extra boundary or near-boundary conditions are(More)
Block algorithms have better performance than scalar and single vector algorithms due to their exploitation of memory hierarchy. This paper presents a high performance C implementation of a block Lanczos tridiagonalization algorithm for complex symmetric matrices. The design principles of the implementation and techniques used in the implementation are(More)
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