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Secant penalized BFGS: a noise robust quasi-Newton method via penalizing the secant condition
In this paper, we introduce a new variant of the BFGS method designed to perform well when gradient measurements are corrupted by noise. We show that...
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Identifiability and singular locus of secant varieties to Grassmannians
Secant varieties are among the main protagonists in tensor decomposition, whose study involves both pure and applied mathematic areas. Grassmannians...
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Restricted secant varieties of Grassmannians
Restricted secant varieties of Grassmannians are constructed from sums of points corresponding to k -planes with the restriction that their...
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A Note on Secant-Defective Varieties and Clifford Modules
We generalise a construction of Landsberg, which associates certain Clifford algebra representations to Severi varieties. We thus obtain a new proof...
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Eigenvalue Analyses on the Memoryless Davidon–Fletcher–Powell Method Based on a Spectral Secant Equation
The subject of this study is the analysis of the spectral secant equation for the well-known Davidon–Fletcher–Powell (DFP) quasi-Newton updating...
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A Modified Secant Method for Entropic Lattice Boltzmann Equations
AbstractStability of lattice Boltzmann equations is governed by a parameter that is responsible for the relaxation time of the nonequilibrium system...
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Global convergence of improved Chebyshev-Secant type methods
In this paper, we present the global convergence of improved Chebyshev-Secant type methods (ICSTM) for solving nonlinear Fredholm integral equations...
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Distinguishing secant from cactus varieties
Cactus varieties are a generalization of secant varieties. They are defined using linear spans of arbitrary finite schemes of bounded length, while...
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A modified secant equation quasi-Newton method for unconstrained optimization
One of the most prominent iterative approaches for solving unconstrained optimization problems is the quasi-Newton method. Their fast convergence and...
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Accelerated memory-less SR1 method with generalized secant equation for unconstrained optimization
The memory-less SR1 with generalized secant equation (MM-SR1gen) is presented and developed together with its numerical performances for solving a...
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Achieving an extended convergence analysis for the secant method under a restricted Hölder continuity condition
We are concerned with the improvement of the estimations for the attraction balls without adding conditions. The novelty of our paper is that in the...
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Blow-up algebras of secant varieties of rational normal scrolls
In this paper, we are mainly concerned with the blow-up algebras of the secant varieties of balanced rational normal scrolls. In the first part, we...
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A three-term projection method based on spectral secant equation for nonlinear monotone equations
In this paper, we propose a three-term derivative-free projection algorithm for handling large-scale nonlinear monotone equations with convex...
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Two limited-memory optimization methods with minimum violation of the previous secant conditions
Limited-memory variable metric methods based on the well-known Broyden-Fletcher-Goldfarb-Shanno (BFGS) update are widely used for large scale...
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Gauss-Newton-Secant Method for the Solution of Non-linear Least-Square Problems Using \(\omega \) -Condition
The convergence of iterative process, based on the combination of Gauss-Newton and Secant’s method, for the solution of nonlinear least-square...
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Secant Update generalized version of PSB: a new approach
In optimization, one of the main challenges of the widely used family of Quasi-Newton methods is to find an estimate of the Hessian matrix as close...
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A remark on global sections of secant bundles of curves
We compute global sections of tensor products and symmetric products of several secant bundles of a nonsingular projective curve. We closely follow...
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Secant planes of a general curve via degenerations
We study linear series on a general curve of genus g , whose images are exceptional with respect to their secant planes. Each such exceptional secant...
