Deep AndersoNN accelerates AI by exploiting High-performance computing (HPC) is becoming essential the continuum limit as the number of explicit layers to artificial intelligence (AI) in the modern paradigm of in a neural network approaches infinity and machine learning (Schwarz, Nicholas et al, 2020). Foundation can be taken as a single implicit layer, known as models, large language models (LLMs), and multiagent a deep equilibrium model. Solving for deep equilibrium natural language societies of mind (NLSOMs) (Zhuge, model parameters reduces to a nonlinear Mingchen et al., 2023) require significant computing resources fixed point iteration problem, enabling the use of and large amounts of data to achieve practical accuracies vector-to-vector iterative solvers and windowing with up to trillions of parameters using explicit neural techniques, such as Anderson extrapolation, for networks (Andrae, Anders S.G. and Edler, Tomas, 2015; accelerating convergence to the fixed point deep de Vries, Alex, 2023; Patterson, David et al., 2021; Jones, equilibrium. Here we show that Deep AndersoNN Nicola et al., 2018). As the number of layers in a neural network achieves up to an order of magnitude of speed-up approaches infinity, these models can be approximated in training and inference. The method is demonstrated with single-layer implicit models, known as deep equilibrium on density functional theory results for industrial (DEQ) models (Bai, 2022; Bai, Shaojie and Kolter, J applications by constructing artificial life Zico and Koltun, Vladlen, 2019; Bai, Shaojie and Koltun, and materials'scientists' capable of classifying Vladlen and Kolter, J Zico; 2021; Huang et al., 2021; Geng, drugs as strongly or weakly polar, metal-organic Zhengyang and Zhang, Xin-Yu and Bai, Shaojie and Wang, frameworks by pore size, and crystalline materials Yisen and Lin, Zhouchen, 2021). Solving for the parameters as metals, semiconductors, and insulators, of a single implicit layer that takes both the input, x, and using graph images of node-neighbor representations the output, y, as inputs are reduced to a fixed point iteration transformed from atom-bond networks.