Search Results - Matrix Algorithms and Iterative Methods

Fast Iterative Solution of Integral Equations With Method of Moments and Matrix Decomposition Algorithm - Singular Value Decomposition by Rius, J.M., Parron, J., Heldring, A., Tamayo, J.M., Ubeda, E.

“…The multilevel matrix decomposition algorithm (MLMDA) was originally developed by Michielsen and Boag for 2D TMz scattering problems and later implemented in 3D by Rius et al…”
Get full text

A Matrix Pencil Algorithm Based Multiband Iterative Fusion Imaging Method by Zou, Yong Qiang, Gao, Xun Zhang, Li, Xiang, Liu, Yong Xiang

“…). In order to eliminate the influence of noise, this paper propose a matrix pencil algorithm based method to estimate the multiband signal poles…”
Get full text

Analysing EM scattering from randomly rough surfaces using stochastic second-degree iterative method, sparse matrix algorithm and Chebyshev approximation by Du, Y., Shi, J.C., Li, Z.Y., Kong, J.A.

Get full text

Analysing EM scattering from randomly rough surfaces using stochastic second-degree iterative method, sparse matrix algorithm and Chebyshev approximation by Du, Y, Shi, J C, Li, Z Y, Kong, J A

“… This algorithm combines the stochastic second-degree iterative method with the sparse matrix algorithm to achieve high computational efficiency, and further uses the Chebyshev approximation…”
Get full text

Analysis of an iterative algorithm to solve the generalized coupled Sylvester matrix equations by Dehghan, Mehdi, Hajarian, Masoud

“…A complex matrix P ∈ C n × n is said to be a generalized reflection if P = P H = P −1. Let P ∈ C n × n and Q ∈ C n × n be two generalized reflection matrices…”
Get full text

LSQR iterative method for generalized coupled Sylvester matrix equations by Li, Sheng-Kun, Huang, Ting-Zhu

“…An iterative method is proposed to solve generalized coupled Sylvester matrix equations, based on a matrix form of the least-squares QR-factorization (LSQR) algorithm…”
Get full text

Investigation and improvement of the Mini-Max Polynomial Approximation method for solving burnup equations by Zhang, Cong, Zhang, Binhang, Bi, Yanzhao, Yuan, Xianbao, Zhang, Yonghong, Tang, Haibo

“…•The Combined Matrix Iterative Algorithm (MMPA-CMIA) based on the MMPA method is proposed for solving burnup equations…”
Get full text

The generalized QMRCGSTAB algorithm for solving Sylvester-transpose matrix equations by Hajarian, Masoud

“…) to obtain a matrix iterative method for solving the Sylvester-transpose matrix equation ∑i=1l(AiXBi+CiXTDi)=E. In order to compare the generalized algorithm with some existing methods, we present two numerical examples…”
Get full text

On the solutions to Sylvester‐conjugate periodic matrix equations via iteration by Zhang, Lei, Li, Pengxiang, Han, Mengqi, Zhang, Yanfeng, Chang, Rui, Zhang, Jinhua

“… Utilising conjugate gradient method, an iterative algorithm is provided, from which a matrix sequence can be generated to approximate the unknown matrix of the equation to be solved…”
Get full text

A modified gradient‐based iterative algorithm for solving the complex conjugate and transpose matrix equations by Long, Yanping, Cui, Jingjing, Huang, Zhengge, Wu, Xiaowen

“…In this paper, we first develop the modified gradient‐based iterative (MGI) method for the complex conjugate and transpose matrix equations A1XB1+A2X‾B2+A3XTB3…”
Get full text

A shift‐splitting Jacobi‐gradient iterative algorithm for solving the matrix equation A𝒱−𝒱‾B=C by Bayoumi, Ahmed M. E.

“…‐gradient iterative (JGI) algorithm [Bayoumi, Appl Math Inf Sci, 2021], a shift‐splitting Jacobi‐gradient iterative (SSJGI) algorithm for solving the matrix equation…”
Get full text

A New Relaxative Algorithm for Coupled Riccati Matrix Equations by Du, Yi-Xiao, Wu, Yu-Yao, Wang, Ping, Sun, Hui-Jie, Liu, Wanquan

“…-tonicity and bounded properties of iterative algorithms, and the method of obtaining the initial matrix of iterative algorithms is given…”
Get full text

The stiffness characteristics analysis of the duplex angular contact ball bearings based on a comprehensive multi-degree-of-freedom mathematical model by Xu, Tengfei, Yang, Lihua, Wu, Wei, Han, Yaoyu, Xu, Endian, Wang, Kai

“…•The detailed two layers iterative algorithm based on the Newton-Raphson method is given.•The impacts of angular misalignment on the stiffness characteristics of the bearing are analyzed…”
Get full text

Optimization of the Robot's Position Base Point by Using the Proper Algorithm and Iterative Pseudo Inverse Jacobian Neural Network Matrix Method by Ciupitu, Liviu, Mihai, Niculae, Olaru, Serban, Olaru, Adrian

“…In the robotized production one of the more important think is to choose the optimal solution to use the robots with respect an objective function which…”
Get full text

Scattering amplitudes from dispersive iterations of unitarity by Tourkine, Piotr, Zhiboedov, Alexander

“…A bstract We present and numerically implement a computational method to construct relativistic scattering amplitudes that obey analyticity, crossing, elastic and inelastic unitarity in three and four…”
Get full text

A novel iterative method for computing generalized inverse by Xia, Youshen, Chen, Tianping, Shan, Jinjun

“… The proposed iterative algorithm requires making four matrix and vector multiplications at each iteration and thus has low computational complexity…”
Get more information

A shift‐splitting Jacobi‐gradient iterative algorithm for solving the matrix equation Að'±−ð'±‾B=C by Bayoumi, Ahmed M E

“…‐gradient iterative (JGI) algorithm [Bayoumi, Appl Math Inf Sci, 2021], a shift‐splitting Jacobi‐gradient iterative (SSJGI) algorithm for solving the matrix equation…”
Get full text

The solution of the linear complementarity problem by the matrix analogue of the accelerated overrelaxation iterative method by Hadjidimos, Apostolos, Tzoumas, Michael

“…) Matrix Analogue of the AOR (MAAOR) ” iterative method; this new method constitutes an extension of the “ Generalized AOR (GAOR) ” iterative method…”
Get full text

Automated Peak Prominence-Based Iterative Dijkstra's Algorithm for Segmentation of B-Mode Echocardiograms by Brindise, Melissa C., Meyers, Brett A., Kutty, Shelby, Vlachos, Pavlos P.

“…). The method uses an iterative Dijkstra's algorithm, strategic node selection, and novel cost matrix formulation based on intensity peak prominence and is termed the " Pro minence I terative D…”
Get full text

Comparisons of several algorithms for Toeplitz matrix recovery by Wang, Chuan-Long, Li, Chao, Wang, Jin

“…) algorithm for matrix completion and the alternating directions iterative method, we first propose a new mean value algorithm for Toeplitz matrix recovery…”
Get full text