Unconstrained Minimization; Line Search Method; Global Convergence; Convergence Rate - Articles

The Continuous Analogy of Newton’s Method for Solving a System of Linear Algebraic Equations (Articles)

Tugal Zhanlav, Ochbadrakh Chuluunbaatar, Gantumur Ankhbayar

Applied Mathematics Vol.4 No.1A，January 30, 2013

DOI: 10.4236/am.2013.41A032 3,308 Downloads 6,110 Views Citations
This article belongs to the Special Issue on Numerical Analysis
Common Fixed Point Iterations of Generalized Asymptotically Quasi-Nonexpansive Mappings in Hyperbolic Spaces (Articles)

A. R. Khan, H. Fukhar-ud-din

Journal of Applied Mathematics and Physics Vol.2 No.5，April 25, 2014

DOI: 10.4236/jamp.2014.25021 3,723 Downloads 5,454 Views Citations
Reconstructions for Continuous-Wave Diffuse Optical Tomography by a Globally Convergent Method (Articles)

Jianzhong Su, Yueming Liu, Zi-Jing Lin, Steven Teng, Aubrey Rhoden, Natee Pantong, Hanli Liu

Journal of Applied Mathematics and Physics Vol.2 No.5，April 25, 2014

DOI: 10.4236/jamp.2014.25025 4,077 Downloads 6,219 Views Citations
Modified Tikhonov Method for Cauchy Problem of Elliptic Equation with Variable Coefficients (Articles)

Hongwu Zhang

American Journal of Computational Mathematics Vol.4 No.3，June 3, 2014

DOI: 10.4236/ajcm.2014.43018 3,208 Downloads 4,533 Views Citations
Numerical Solution for the Fractional Wave Equation Using Pseudo-Spectral Method Based on the Generalized Laguerre Polynomials (Articles)

Nasser H. Sweilam, Mohamed M. Khader, Mohamed Adel

Applied Mathematics Vol.6 No.4，April 10, 2015

DOI: 10.4236/am.2015.64058 4,290 Downloads 5,782 Views Citations
Finite Element Method for a Kind of Two-Dimensional Space-Fractional Diffusion Equation with Its Implementation (Articles)

Beiping Duan, Zhoushun Zheng, Wen Cao

American Journal of Computational Mathematics Vol.5 No.2，June 10, 2015

DOI: 10.4236/ajcm.2015.52012 3,798 Downloads 5,726 Views Citations
Alternating Group Explicit Iterative Methods for One-Dimensional Advection-Diffusion Equation (Articles)

Ning Chen, Haiming Gu

American Journal of Computational Mathematics Vol.5 No.3，August 31, 2015

DOI: 10.4236/ajcm.2015.53025 5,202 Downloads 6,243 Views Citations
A New Newton-Type Method with Third-Order for Solving Systems of Nonlinear Equations (Articles)

Zhongli Liu, Quanyou Fang

Journal of Applied Mathematics and Physics Vol.3 No.10，October 28, 2015

DOI: 10.4236/jamp.2015.310154 2,365 Downloads 3,764 Views Citations
Filtering Function Method for the Cauchy Problem of a Semi-Linear Elliptic Equation (Articles)

Hongwu Zhang, Xiaoju Zhang

Journal of Applied Mathematics and Physics Vol.3 No.12，December 17, 2015

DOI: 10.4236/jamp.2015.312184 6,366 Downloads 7,470 Views Citations
A New Approximation to the Linear Matrix Equation AX = B by Modification of He’s Homotopy Perturbation Method (Articles)

Amir Sadeghi

Advances in Linear Algebra & Matrix Theory Vol.6 No.2，May 26, 2016

DOI: 10.4236/alamt.2016.62004 3,253 Downloads 5,238 Views Citations
A Numerical Method for Nonlinear Singularly Perturbed Multi-Point Boundary Value Problem (Articles)

Musa Çakır, Derya Arslan

Journal of Applied Mathematics and Physics Vol.4 No.6，June 29, 2016

DOI: 10.4236/jamp.2016.46119 2,224 Downloads 3,618 Views Citations
Iterative Method Based on the Truncated Technique for Backward Heat Conduction Problem with Variable Coefficient (Articles)

Hongwu Zhang, Xiaoju Zhang

Open Access Library Journal Vol.2 No.4，April 27, 2015

DOI: 10.4236/oalib.1101501 1,314 Downloads 2,174 Views Citations
Stability and Regularization Method for Inverse Initial Value Problem of Biparabolic Equation (Articles)

Hongwu Zhang, Xiaoju Zhang

Open Access Library Journal Vol.2 No.5，May 14, 2015

DOI: 10.4236/oalib.1101542 1,525 Downloads 2,389 Views Citations
Freidlin-Wentzell’s Large Deviations for Stochastic Evolution Equations with Poisson Jumps (Articles)

Huiyan Zhao, Siyan Xu

Advances in Pure Mathematics Vol.6 No.10，September 19, 2016

DOI: 10.4236/apm.2016.610056 1,616 Downloads 2,705 Views Citations
Gauss-Legendre Iterative Methods and Their Applications on Nonlinear Systems and BVP-ODEs (Articles)

Zhongli Liu, Guoqing Sun

Journal of Applied Mathematics and Physics Vol.4 No.11，November 18, 2016

DOI: 10.4236/jamp.2016.411203 1,850 Downloads 3,176 Views Citations
Properties of the Maximum Likelihood Estimates and Bias Reduction for Logistic Regression Model (Articles)

Nuri H. Salem Badi

Open Access Library Journal Vol.4 No.5，May 24, 2017

DOI: 10.4236/oalib.1103625 1,661 Downloads 4,526 Views Citations
A Mathematical Approach Based on the Homotopy Analysis Method: Application to Solve the Nonlinear Harry-Dym (HD) Equation (Articles)

Emran Khoshrouye Ghiasi, Reza Saleh

Applied Mathematics Vol.8 No.11，November 13, 2017

DOI: 10.4236/am.2017.811113 1,597 Downloads 3,560 Views Citations
Numerical Simulation of Foaming Processes (Articles)

Katharina Gladbach, Antonio Delgado, Cornelia Rauh

World Journal of Mechanics Vol.7 No.11，November 29, 2017

DOI: 10.4236/wjm.2017.711024 910 Downloads 1,932 Views Citations
Application of Linearized Alternating Direction Multiplier Method in Dictionary Learning (Articles)

Xiaoli Yu

Journal of Applied Mathematics and Physics Vol.7 No.1，January 18, 2019

DOI: 10.4236/jamp.2019.71012 861 Downloads 1,812 Views Citations
Analysis of Economic Transformation Capacity and Convergence of Resource-Regenerative Cities—Based on Entropy Weight TOPSIS Method (Articles)

Guangcheng Ma

American Journal of Industrial and Business Management Vol.9 No.8，August 23, 2019

DOI: 10.4236/ajibm.2019.98110 594 Downloads 1,274 Views Citations

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