The paper identifies the need for a new method to solve
Research gap analysis derived from 3 mathematics papers in our local library.
The gap
The paper identifies the need for a new method to solve the B-eigenvalue problem. The paper identifies the limitation of existing methods.
Evidence profile
Sourced from the stated research gap and future-work section of the source papers, classified as general, spanning 3 journals.
Research trend
Established — well-defined area with open sub-problems.
Supporting evidence — 3 representative gaps
- From eigenvector nonlinearities with quadratic structure to eigenvalue nonlinearities with algebraic structure (2026) · BIT Numerical Mathematics · doi
The existing methods for solving eigenvalue problems with eigenvector nonlinearities have limitations. There is a need for a new method that can effectively solve such problems. The paper identifies a gap in the existing literature and proposes a new method to fill this gap.
generalstated research gapKeywords: existing methods solving eigenvalue problems eigenvector nonlinearities have - A feasible conjugate gradient method for calculating B-eigenpairs of symmetric tensors (2026) · Journal of Computational and Applied Mathematics · doi
The paper identifies the need for a new method to solve the B-eigenvalue problem. The paper identifies the limitation of existing methods.
generalstated research gapevidence 4/5Keywords: paper identifies need new method solve b-eigenvalue problem - Nonconforming Finite Element Approximation and Energy Lower Bound Estimation for the Gross–Pitaevskii Energy Functional (2026) · Journal of Scientific Computing · doi
To incorporate Riemannian acceleration techniques to enhance computational efficiency. To apply the method to other nonlinear eigenvalue problems.
generalfuture-work sectionevidence 4/5Keywords: incorporate riemannian acceleration techniques enhance computational efficiency apply
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