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Functionalizing Nucleic Acids: Synthesis and Purification Strategies for Bioconjugates as Biomaterials. [PDF]
Alleva N +4 more
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Inverse scattering of absorptive samples via beam propagation. [PDF]
Wagenaar P +4 more
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WIREs Computational Statistics, 2001
AbstractThe conjugate gradient (CG) method for optimization and equation solving is described, along with three principal families of algorithms derived from it. In each case, a foundational CG algorithm is formulated mathematically and followed by a brief discussion of refinements and variants within its family.
Saul I. Gass, Carl M. Harris
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AbstractThe conjugate gradient (CG) method for optimization and equation solving is described, along with three principal families of algorithms derived from it. In each case, a foundational CG algorithm is formulated mathematically and followed by a brief discussion of refinements and variants within its family.
Saul I. Gass, Carl M. Harris
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2020
The conjugate gradient method was published by Hestenes and Stiefel in 1952, as a direct method for solving linear systems. Today its main use is as an iterative method for solving large sparse linear systems. On a test problem we show that it performs as well as the SOR method with optimal acceleration parameter, and we do not have to estimate any ...
Tom Lyche, Georg Muntingh, Øyvind Ryan
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The conjugate gradient method was published by Hestenes and Stiefel in 1952, as a direct method for solving linear systems. Today its main use is as an iterative method for solving large sparse linear systems. On a test problem we show that it performs as well as the SOR method with optimal acceleration parameter, and we do not have to estimate any ...
Tom Lyche, Georg Muntingh, Øyvind Ryan
+4 more sources
Deconvolution by the conjugate gradient method
ICASSP '85. IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005Since it is practically difficult to generate and propagate an impulse, often a system is excited by a narrow time domain pulse. The output is recorded and then a numerical deconvolution is often done to extract the impulse response of the object.
Tapan K. Sarkar +3 more
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Complex conjugate gradient methods
Numerical Algorithms, 1993The paper is concerned with the solution of linear systems with non- singular complex matrices. A unified framework is presented from which various conjugate gradient-like methods for solving the above described systems are derived. The considered methods include both well-known methods and some new variants of these methods.
Pascal Joly, Gérard Meurant
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Duality in conjugate gradient methods
Numerical Algorithms, 1999The authors present the reverse algorithms of \textit{Cs. J. Hegedüs} [Comput. Math. Appl. 21, No. 1, 71-85 (1991; Zbl 0727.65023)] in a new perspective and show how they are related to the more conventional algorithms if the latter is regarded as solving problems involving the original preconditioning matrices.
Broyden C. G., Foschi P.
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On Restart Procedures for the Conjugate Gradient Method
Numerical Algorithms, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yu-Hong Dai, Li-Zhi Liao, Duan Li 0002
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Numerische Mathematik, 1963
The CG-algorithm is an iterative method to solve linear systems $$Ax + b = 0$$ (1) where A is a symmetric and positive definite coefficient matrix of order n. The method has been described first by Stiefel and Hesteness [1, 2] and additional information is contained in [3] and [4]. The notations used here coincide partially with those used in
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The CG-algorithm is an iterative method to solve linear systems $$Ax + b = 0$$ (1) where A is a symmetric and positive definite coefficient matrix of order n. The method has been described first by Stiefel and Hesteness [1, 2] and additional information is contained in [3] and [4]. The notations used here coincide partially with those used in
openaire +2 more sources

