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Properties of generalized conjugate gradient methods

Numerical Linear Algebra with Applications, 1994
AbstractThe solution of linear systems has considerable importance for the computation of problems resulting from engineering, physics, chemistry, computer science, mathematics, medicine and economics. The calculation of costly and time‐consuming problems, e.g. crash tests, simulation of the human lung and skin, calculation of electrical and magnetical
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Readily implementable conjugate gradient methods

Mathematical Programming, 1979
Conjugate gradient methods have been extensively used to locate unconstrained minimum points of real-valued functions. At present, there are several readily implementable conjugate gradient algorithms that do not require exact line search and yet are shown to be superlinearly convergent. However, these existing algorithms usually require several trials
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Hyperbolic Pairs in the Method of Conjugate Gradients

SIAM Journal on Applied Mathematics, 1969
(starting from an arbitrary x1 and r1 = b Ax1, Pt = r1) converges to the solution of(1) in n steps or less. Theoretically, the process (2) can be carried out in such a manner that only one multiplication of A times a vector is required at each step, although in practice two such multiplications are often employed.
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Iteration number for the conjugate gradient method

Mathematics and Computers in Simulation, 2003
The author presents new results about the behaviour of the conjugate gradient method (CGM). The convergence of CGM takes can be described mainly in three phases: (i) an initial phase of rapid convergence during small number of iterations (depends only on the initial error); (ii) a middle phase of essentially linear rate of convergence (depends on the ...
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FPGA Implementation of the Conjugate Gradient Method

2006
The rational fraction number system is proposed to solve the algebraic problems in FPGA devices. The fraction number consists of the n-bit integer numerator and the n -bit integer denominator, and can represent numbers with 2n bit mantissa. Experimental linear equation system solver was developed in FPGA device, which implements the recursive conjugate
Oleg Maslennikow   +2 more
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Antibody–Drug Conjugates: Smart Chemotherapy Delivery Across Tumor Histologies

Ca-A Cancer Journal for Clinicians, 2022
Shanu Modi   +2 more
exaly  

Conjugate Gradient Methods for Indefinite Systems

Lecture Notes in Mathematics, 1976
R Fletcher
exaly  

A Hybrid Conjugate Gradient Method With Descent Property for Unconstrained Optimization

Applied Mathematical Modelling, 2015
Xianzhen Jiang, Jinbao Jian
exaly  

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