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Fast Deterministic Algorithms for Matrix Completion Problems
SIAM Journal on Discrete Mathematics, 2013Ivanyos, Karpinski, and Saxena [SIAM J. Comput., 39 (2010), pp. 3736--3751] have developed a deterministic polynomial time algorithm for finding scalars $x_1, \dots, x_n$ that maximize the rank of the matrix $B_0 + x_1B_1 + \dots + x_nB_n$ for given matrices $B_0, B_1, \dots, B_n$, where $B_1, \dots, B_n$ are of rank one.
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The P-matrix problem is co-NP-complete
Mathematical Programming, 1994zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The problem of completing partial matrix functions as a classical interpolation problem
Journal of Mathematical Sciences, 1995See the review in Zbl 0758.30033.
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T-Product Factorization Based Method for Matrix and Tensor Completion Problems
Computational Optimization and Applications, 2023Xinzhen Zhang, Quan Yu
exaly
Solving Euclidean Distance Matrix Completion Problems via Semidefinite Programming
Computational Optimization and Applications, 1999Henry Wolkowicz
exaly

