Most tensor problems are NP-hard

CJ Hillar, LH Lim - Journal of the ACM (JACM), 2013 - dl.acm.org
We prove that multilinear (tensor) analogues of many efficiently computable problems in
numerical linear algebra are NP-hard. Our list includes: determining the feasibility of a …

[图书][B] Advanced engineering mathematics

DG Zill - 2020 - books.google.com
This package includes the printed hardcover book and access to the Navigate 2 Companion
Website. The seventh edition of Advanced Engineering Mathematics provides learners with …

[图书][B] Accuracy and stability of numerical algorithms

NJ Higham - 2002 - SIAM
In the nearly seven years since I finished writing the first edition of this book research on the
accuracy and stability of numerical algorithms has continued to flourish and mature. Our …

[图书][B] Approximation of large-scale dynamical systems

AC Antoulas - 2005 - SIAM
In today's technological world, physical and artificial processes are mainly described by
mathematical models, which can be used for simulation or control. These processes are …

[图书][B] Molecular modeling and simulation: an interdisciplinary guide

T Schlick - 2010 - Springer
Science is a way of looking, reverencing. And the purpose of all science, like living, which
amounts to the same thing, is not the ac cumulation of gnostic power, the fixing of formulas …

Topology of deep neural networks

G Naitzat, A Zhitnikov, LH Lim - Journal of Machine Learning Research, 2020 - jmlr.org
We study how the topology of a data set M= Ma∪ Mb⊆ ℝ d, representing two classes a and
b in a binary classification problem, changes as it passes through the layers of a well-trained …

[图书][B] Solving nonlinear equations with Newton's method

CT Kelley - 2003 - SIAM
This small book on Newton's method is a user-oriented guide to algorithms and
implementation. Its purpose is to show, via algorithms in pseudocode, in MATLAB®, and …

[图书][B] Implementing spectral methods for partial differential equations: Algorithms for scientists and engineers

DA Kopriva - 2009 - books.google.com
Page 1 David A. Kopriva SCIENTIFIC COMPUTATION Implementing Spectral Methods for
Partial Differential Equations Algorithms for Scientists and Engineers 4il Springer Page 2 …

[图书][B] Scientific computing: an introductory survey, revised second edition

MT Heath - 2018 - SIAM
This book presents a broad overview of numerical methods for students and professionals in
computationally oriented disciplines who need to solve mathematical problems. It differs …

[图书][B] Numerical analysis and scientific computation

JJ Leader - 2022 - taylorfrancis.com
This is an introductory single-term numerical analysis text with a modern scientific computing
flavor. It offers an immediate immersion in numerical methods featuring an up-to-date …