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Enhancing Conjugate Gradient Method Through a Novel Investigation Parameter For Unconstrained Minimization.

• Authors : Hassan, A. A.¹ ; Saeed, H. Th.¹

Subjects: *CONJUGATE gradient methods; *MATHEMATICAL optimization; *STOCHASTIC convergence

• Source: Journal of Education & Science. Jun2024, Vol. 33 Issue 2, p123-133. 11p.

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Restrictively preconditioned conjugate gradient methods for systems of linear equations.

• Authors : Bai, Zhong-Zhi¹ ; Li, Gui-Qing¹

• Source: IMA Journal of Numerical Analysis. Oct2003, Vol. 23 Issue 4, p561-580. 20p.

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Reconstruction of the heat transfer coefficient at the interface of a bi-material.

• Authors : Zhuo, Lijun^1,2 (AUTHOR); Lesnic, Daniel² (AUTHOR) ; Meng, Songhe¹ (AUTHOR)

• Source: Inverse Problems in Science & Engineering. Mar2020, Vol. 28 Issue 3, p374-401. 28p.

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An inexact dual logarithmic barrier method for solving sparse semidefinite programs.

• Authors : Bellavia, Stefania¹ (AUTHOR) ; Gondzio, Jacek^2,3 (AUTHOR) ; Porcelli, Margherita¹ (AUTHOR)

• Source: Mathematical Programming. Nov2019, Vol. 178 Issue 1/2, p109-143. 35p.

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Quasi-Newton-Based Preconditioning and Damped Quasi-Newton Schemes for Nonlinear Conjugate Gradient Methods

• Authors : Mehiddin Al-Baali; Andrea Caliciotti; Giovanni Fasano ...

Subjects: Preconditioning; Quasi-Newton methods; Damped techniques

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A SUBSPACE MINIMIZATION METHOD FOR THE TRUST-REGION STEP.

• Authors : ERWAY, JENNIFER B.¹ (AUTHOR); GILL, PHILIP E.² (AUTHOR)

• Source: SIAM Journal on Optimization. 2009, Vol. 20 Issue 3, p1439-1461. 23p. 9 Charts, 3 Graphs.

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A High-Quality Preconditioning Technique for Multi-Length-Scale Symmetric Positive Definite Linear Systems.

• Authors : Yamazaki, Ichitaro¹ ; Bai, Zhaojun¹ ; Chen, Wenbin²

• Source: Numerical Mathematics: Theory, Methods & Applications. Nov2009, Vol. 2 Issue 4, p469-484. 16p. 2 Diagrams, 3 Charts, 2 Graphs.

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GRADIENT FLOW APPROACH TO GEOMETRIC CONVERGENCE ANALYSIS OF PRECONDITIONED EIGENSOLVERS.

• Authors : Knyazev, Andrew V.¹ ; Neymeyr, Klaus²

• Source: SIAM Journal on Matrix Analysis & Applications. 2009, Vol. 31 Issue 2, p621-628. 8p. 2 Diagrams.

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BLOCK LOCALLY OPTIMAL PRECONDITIONED EIGENVALUE XOLVERS (BLOPEX) IN HYPRE AND PETSC.

• Authors : Knyazev, A. V.¹ ; Argentati, M. E.¹ ; Lashuk, I.¹

• Source: SIAM Journal on Scientific Computing. 2007, Vol. 29 Issue 5, p2224-2239. 16p. 1 Diagram, 2 Charts, 3 Graphs.

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NEARLY OPTIMAL PRECONDITIONED METHODS FOR HERMITIAN EIGENPROBLEMS UNDER LIMITED MEMORY. PART II: SEEKING MANY EIGENVALUES.

• Authors : Stathopoulos, Andreas¹ ; McCombs, James R.¹

• Source: SIAM Journal on Scientific Computing. 2007, Vol. 29 Issue 5, p2162-2188. 27p. 1 Diagram, 4 Charts, 17 Graphs.

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