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G-tridiagonal majorization on 𝐌 n , m

Ahmad Mohammadhasani, Yamin Sayyari, Mahdi Sabzvari (2021)

Communications in Mathematics

For X , Y 𝐌 n , m , it is said that X is g-tridiagonal majorized by Y (and it is denoted by X g t Y ) if there exists a tridiagonal g-doubly stochastic matrix A such that X = A Y . In this paper, the linear preservers and strong linear preservers of g t are characterized on 𝐌 n , m .

Guided Local Search for query reformulation using weight propagation

Issam Moghrabi (2006)

International Journal of Applied Mathematics and Computer Science

A new technique for query reformulation that assesses the relevance of retrieved documents using weight propagation is proposed. The technique uses a Guided Local Search (GLS) in conjunction with the latent semantic indexing model (to semantically cluster documents together) and Lexical Matching (LM). The GLS algorithm is used to construct a minimum spanning tree that is later employed in the reformulation process. The computations done for Singular Value Decomposition (SVD), LM and the minimum...

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