Results 11 to 20 of about 5,774,152 (370)

Positive Definiteness and Semi-Definiteness of Even Order Symmetric Cauchy Tensors [PDF]

open access: yes, 2014
Motivated by symmetric Cauchy matrices, we define symmetric Cauchy tensors and their generating vectors in this paper. Hilbert tensors are symmetric Cauchy tensors.
Haibin Chen, L. Qi
semanticscholar   +4 more sources

Positive Definiteness of the Blended Force-Based Quasicontinuum Method [PDF]

open access: yesMultiscale Modeling & simulation, 2011
The development of consistent and stable quasicontinuum models for multidimensional crystalline solids remains a challenge. For example, proving the stability of the force-based quasicontinuum (QCF) model [M. Dobson and M. Luskin, M2AN Math. Model. Numer.
X. Li, M. Luskin, C. Ortner
semanticscholar   +7 more sources

Retaining positive definiteness in thresholded matrices [PDF]

open access: yes, 2011
Positive definite (p.d.) matrices arise naturally in many areas within mathematics and also feature extensively in scientific applications. In modern high-dimensional applications, a common approach to finding sparse positive definite matrices is to ...
D. Guillot, B. Rajaratnam
semanticscholar   +4 more sources

Positive definiteness of real quadratic forms resulting from the variable-step approximation of convolution operators [PDF]

open access: yesScience China Mathematics, 2020
The positive definiteness of real quadratic forms with convolution structures plays an important role in stability analysis for time-stepping schemes for nonlocal operators.In this work, we present a novel analysis tool to handle discrete convolution ...
Hong-lin Liao, T. Tang, Tao Zhou
semanticscholar   +1 more source

Positive Definiteness of Symmetric Rank 1 (H-Version) Update for Unconstrained Optimization

open access: yesBaghdad Science Journal, 2021
: Several attempts have been made to modify the quasi-Newton condition in order to obtain rapid convergence with complete properties (symmetric and positive definite) of the inverse of Hessian matrix (second derivative of the objective function).
S. S. Mahmood   +2 more
semanticscholar   +1 more source

New methods based H-tensors for identifying the positive definiteness of multivariate homogeneous forms

open access: yesAIMS Mathematics, 2021
Positive definite polynomials are important in the field of optimization. H-tensors play an important role in identifying the positive definiteness of an even-order homogeneous multivariate form.
Dongjian Bai, Feng Wang
doaj   +1 more source

An ℋ-tensor-based criteria for testing the positive definiteness of multivariate homogeneous forms

open access: yesOpen Mathematics, 2022
A positive definite homogeneous multivariate form plays an important role in the field of optimization, and positive definiteness of the form can be identified by a special structured tensor.
Bai Dongjian, Wang Feng
doaj   +1 more source

Some new criteria for judging H-tensors and their applications

open access: yesAIMS Mathematics, 2023
H-tensors play a key role in identifying the positive definiteness of even-order real symmetric tensors. Some criteria have been given since it is difficult to judge whether a given tensor is an H-tensor, and their range of judgment has been limited.
Wenbin Gong, Yaqiang Wang
doaj   +1 more source

Positive Inductive-Recursive Definitions [PDF]

open access: yesLogical Methods in Computer Science, 2013
A new theory of data types which allows for the definition of types as initial algebras of certain functors Fam(C) -> Fam(C) is presented. This theory, which we call positive inductive-recursive definitions, is a generalisation of Dybjer and Setzer's theory of inductive-recursive definitions within which C had to be discrete -- our work can ...
Ghani, Neil   +2 more
openaire   +9 more sources

Data‐driven performance metrics for neural network learning

open access: yesInternational Journal of Adaptive Control and Signal Processing, EarlyView., 2023
Summary Effectiveness of data‐driven neural learning in terms of both local mimima trapping and convergence rate is addressed. Such issues are investigated in a case study involving the training of one‐hidden‐layer feedforward neural networks with the extended Kalman filter, which reduces the search for the optimal network parameters to a state ...
Angelo Alessandri   +2 more
wiley   +1 more source

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