P-Least Squares Method of Curve Fitting

Le Min Gu

doi:10.4028/www.scientific.net/AMR.699.885

Paper Titles

Femtosecond Laser Nonlinear Ablation Process of Biliary Nitinol Stent for Cholangiocarcinoma
p.859

Processing of Ceramics and Metal Matrix Composites with Electro Discharge Machining
p.864

Study of Cyclic Oxidation for Copper Removal from Solid Ferrous Scrap in End-of-Life Vehicle (ELV)
p.869

Role of Debinding to Control Mechanical Properties of Powder Injection Molded 316L Stainless Steel
p.875

P-Least Squares Method of Curve Fitting
p.885

Intelligent Parallel Networks for Combustion Quality Monitoring in Power Station Boilers
p.893

Physical and Chemical Properties of the Waste Electronic Circuit Board
p.900

Microwave Near-Field Detection of the Ion Concentration in Sealed Fluidic Systems
p.904

Chemical Detection of SF₆ Decomposition Products Generated by AC and DC Corona Discharges Using a Carbon Nanotube Gas Sensor
p.909

HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 699P-Least Squares Method of Curve Fitting

P-Least Squares Method of Curve Fitting

Abstract:

P-Least Squares (P-LS) method is Least Squares (LS) method promotion, based on the criteria of error -squares minimal to select parameter , namely satisfies following constitute the curve-fitting method. Due to the arbitrariness of the number , P-LS method has a wide field of application, when , P-LS approximation translated Chebyshev optimal approximation. This paper discusses the general principles of P-LS method; provides a way to realize the general solution of P-LS approximation. P-Least Squares method not only has significantly reduces the maximum error, also has solved the problems of Chebyshev approximation non-solution in some complex non-linear approximations，and also has the computation conveniently, can carry on the large-scale multi-data processing ability. This method is introduced by some examples unified in the materials science, the chemical engineering and the life body change.

You might also be interested in these eBooks

Materials Science and Chemical Engineering

View Preview

Info:

Periodical:

Advanced Materials Research (Volume 699)

Pages:

885-892

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.699.885

Citation:

Cite this paper

Online since:

May 2013

Authors:

Le Min Gu

Keywords:

Chebyshev, Curve Fitting, Least-Square Method (LSM), Optimal Approximation

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] Lemin Gu. Nonlinear Chebyshev Solution Realization Question. The 2nd International Conference on Computer Science and Service System (CSSS2012).Vol.3 (2012), pp.1784-1789.

Google Scholar

[2] L.M.Gu. P-Least Squares Method. Numerical Mathematics A Journal of Chinese Universities (soon publishes).

Google Scholar

[3] L.M.Gu.Chebyshev Best Approximation Theory in the Calculation of Absolute and Relative Methods of Application.2012 International Conference on System Simulation. (2012), pp.487-493.

DOI: 10.1049/cp.2012.0512

Google Scholar

[4] F.X.Xu, M.T. Wang, X, Li.Reserarch on solid-state reaction diffusion dynamics in SiO2-BaCO3 system. JOURNAL OF SHANDONG INSTITUTE OF LIGHT INDUSTRY.Vol.17 (2003), pp.51-55.

Google Scholar

[5] W.H. Liao, J.B. Wang.Study on Application of MMF Model to Prediction of Foundation Settlement. Chinese Journal of Underground Space and Engineering.Vol7 (2011), pp.807-811.

Google Scholar

[6] L.Kang, Z.J. Gui, L.Teng.Using Ultrasound B to measure the fetal biological indicators and predict the weight of the fetus, China Ultrasonogr, vol.3 (2003), pp.185-186.

Google Scholar