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Learning Low Rank Matrices from O(n) Entries
Random items matrix reconstruction matrix the stochastic matrix
2015/8/21
How many random entries of an n × nα, rank r matrix are necessary to reconstruct the matrix within an accuracy δ? We address this question in the case of a random matrix with bounded rank, whereby the...
Computing the Moore-Penrose Inverse of a Matrix Through Symmetric Rank-One Updates
Finite Recursive Algorithm Moore-Penrose Inverse Symmetric Rank-One Update
2013/1/30
This paper presents a recursive procedure to compute the Moore-Penrose inverse of a matrix A. The method is based on the expression for the Moore-Penrose inverse of rank-one modified matrix. The compu...
Fluctuations of the extreme eigenvalues of finite rank deformations of random matrices
Fluctuations of the extreme eigenvalues finite rank deformations of random matrices
2010/11/26
Consider a deterministic self-adjoint matrix Xn with spectral measure converging to a compactly supported probability measure, the largest and smallest eigenvalues converging to the edges of the limit...