Keywords
Hessian matrixMathematicsIdentity matrixRank (graph theory)Context (archaeology)Variable (mathematics)InitializationDiagonalMatrix (chemical analysis)AlgorithmQuasi-Newton methodNumerical analysisApplied mathematicsNewton's methodComputer scienceMathematical analysisGeometryEigenvalues and eigenvectorsCombinatoricsNonlinear system
Affiliated Institutions
Related Publications
Lower Bounds for the Partitioning of Graphs
Let a k-partition of a graph be a division of the vertices into k disjoint subsets containing m <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.or...
The Approximation of One Matrix by Another of Lower Rank
The mathematical problem of approximating one matrix by another of lower rank is closely related to the fundamental postulate of factor-theory. When formulated as a least-square...
The Theory of Matrices
Volume 2: XI. Complex symmetric, skew-symmetric, and orthogonal matrices: 1. Some formulas for complex orthogonal and unitary matrices 2. Polar decomposition of a complex matrix...
Efficient MATLAB Computations with Sparse and Factored Tensors
In this paper, the term tensor refers simply to a multidimensional or N-way array, and we consider how specially structured tensors allow for efficient storage and computation. ...
The algebraic eigenvalue problem
Theoretical background Perturbation theory Error analysis Solution of linear algebraic equations Hermitian matrices Reduction of a general matrix to condensed form Eigenvalues o...
Publication Info
- Year
- 1989
- Type
- article
- Volume
- 45
- Issue
- 1-3
- Pages
- 407-435
- Citations
- 806
- Access
- Closed
External Links
Social Impact
Altmetric
PlumX Metrics
Social media, news, blog, policy document mentions
Citation Metrics
806
OpenAlex
Cite This
Jean Charles Gilbert,
Claude Lemaréchal
(1989).
Some numerical experiments with variable-storage quasi-Newton algorithms.
Mathematical Programming
, 45
(1-3)
, 407-435.
https://doi.org/10.1007/bf01589113
Identifiers
- DOI
- 10.1007/bf01589113