Newton's iterative method to solve a nonlinear matrix equation-Reference-Cited by-同舟云学术

Newton's iterative method to solve a nonlinear matrix equation

Published:2018-06-27 Issue:9 Volume:67 Page:1867-1878
ISSN:0308-1087
Container-title:Linear and Multilinear Algebra
language:en
Short-container-title:Linear and Multilinear Algebra

Author:

Peng Jingjing¹,Liao Anping²,Peng Zhenyun³,Chen Zhencheng⁴

Affiliation:

1. College of Science, Shanghai University, Shanghai, People's Republic of China

2. College of Mathematics and Econometrics, Hunan University, Changsha, People's Republic of China

3. School of Mathematics and Computing Science, Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guilin University of Electronic Technology, Guilin, People's Republic of China

4. School of Life and Environmental Science, Guilin University of Electronic Technology, Guilin, People's Republic of China

Funder

National Major Scientific Research Instruments Development Program

National Natural Science Foundation of China

Publisher

Informa UK Limited

Subject

Algebra and Number Theory

Link

https://www.tandfonline.com/doi/pdf/10.1080/03081087.2018.1472736

Reference39 articles.

1. On the existence of a positive definite solution of the matrix equation X+ATX−1A= I

2. Stabilizability of Linear Systems Over a Commutative Normed Algebra with Applications to Spatially-Distributed and Parameter-Dependent Systems

3. Ladder networks, fixpoints, and the geometric mean

4. Limit of Iterates of Cascade Addition of Matrices

5. Functional calculus for sesquilinear forms and the purification map

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