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On Rank Estimation in Symmetric Matrices: The Case of Indefinite Matrix Estimators

This is a preview. Log in through your library . Abstract In this paper we consider estimating the rank of an unknown symmetric matrix based on a symmetric, asymptotically normal estimator of the ...
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A Decomposition of an Idempotent Matrix Where Nonnegativity Implies Idempotence and None of the Matrices Need Be Symmetric

Sankhyā: The Indian Journal of Statistics, Series A (1961-2002), Vol. 38, No. 4 (Oct., 1976), pp. 400-403 (4 pages) A theorem involving the decomposition of an idempotent matrix into the sum of one or ...
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MicroCloud Hologram Inc. Utilizes Matrix Product States to Achieve High-Precision Quantum State Preparation with Mirror-Symmetric Probability Distribution

SHENZHEN, China, March 18, 2025 (GLOBE NEWSWIRE) -- MicroCloud Hologram Inc. (NASDAQ: HOLO), (“HOLO” or the "Company"), a technology service provider, announced the proposal of a new method based on ...

New tensor network-based approach could advance simulation of quantum many-body systems

The quantum many body problem has been at the heart of much of theoretical and experimental physics over the past few decades ...