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FPGA Implementation of the Conjugate Gradient Method
2006The 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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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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An efficient hybrid conjugate gradient method for unconstrained optimization
Optimization Methods and Software, 2022Abdulkarim Hassan Ibrahim +2 more
exaly
A hybrid conjugate gradient method with descent property for unconstrained optimization
Applied Mathematical Modelling, 2015Jinbao Jian, Xianzhen Jiang
exaly
A new, globally convergent Riemannian conjugate gradient method
Optimization, 2015Hiroyuki Sato
exaly
Conjugate gradient method with preconditioning by projector
International Journal of Computer Mathematics, 1988Zdenek Dostál
exaly
A New Conjugate Gradient Method with Guaranteed Descent and an Efficient Line Search
SIAM Journal on Optimization, 2005William W Hager, Hongchao Zhang
exaly