Numerical analysis of a quadratic matrix equation

Article Properties
Cite
Higham, N. J. “Numerical Analysis of a Quadratic Matrix Equation”. IMA Journal of Numerical Analysis, vol. 20, no. 4, 2000, pp. 499-1, https://doi.org/10.1093/imanum/20.4.499.
Higham, N. J. (2000). Numerical analysis of a quadratic matrix equation. IMA Journal of Numerical Analysis, 20(4), 499-519. https://doi.org/10.1093/imanum/20.4.499
Higham NJ. Numerical analysis of a quadratic matrix equation. IMA Journal of Numerical Analysis. 2000;20(4):499-51.
Citations
Title Journal Journal Categories Citations Publication Date
A systematic approach to obtain the analytical solution for coupled linear second-order ordinary differential equations: Part II Journal of the Brazilian Society of Mechanical Sciences and Engineering
  • Technology: Mechanical engineering and machinery
  • Technology: Engineering (General). Civil engineering (General)
2024
Numerical simulation of the electromagnetic wave reflection from 2D random semi-infinite strongly scattering media Waves in Random and Complex Media
  • Science: Physics
  • Science: Physics
2024
Two global quasi-Newton algorithms for solving matrix polynomial equations

Computational and Applied Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2023
On the local convergence of a quasi-Newton method for solving matrix polynomial equations Applied Mathematics and Computation
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
1 2023
An explicit polynomial to globalize algorithms for solving matrix polynomial equations Journal of Computational and Applied Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
1 2023
Citations Analysis
Category Category Repetition
Science: Mathematics55
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods46
Technology: Engineering (General). Civil engineering (General)12
Science: Physics8
Technology: Mechanical engineering and machinery6
Science: Mathematics: Instruments and machines: Electronic computers. Computer science5
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics5
Science: Chemistry3
Technology: Chemical technology3
Technology: Electrical engineering. Electronics. Nuclear engineering: Materials of engineering and construction. Mechanics of materials3
Science: Chemistry: Physical and theoretical chemistry3
Science: Astronomy3
Technology: Technology (General): Industrial engineering. Management engineering3
Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks3
Science: Physics: Atomic physics. Constitution and properties of matter2
Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software2
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware2
Technology: Engineering (General). Civil engineering (General): Mechanics of engineering. Applied mechanics2
Social Sciences: Economic theory. Demography: Economics as a science2
Social Sciences: Commerce: Business2
Technology: Manufactures: Production management. Operations management2
Science: Mathematics: Probabilities. Mathematical statistics2
Science: Science (General)1
Technology: Mechanical engineering and machinery: Control engineering systems. Automatic machinery (General)1
Science: Mathematics: Instruments and machines1
Science: Biology (General)1
Science: Chemistry: Organic chemistry: Biochemistry1
Medicine: Medicine (General): Computer applications to medicine. Medical informatics1
Social Sciences: Statistics1
Science: Geology1
Technology: Technology (General): Industrial engineering. Management engineering: Information technology1
The category Science: Mathematics 55 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled The Quadratic Eigenvalue Problem and was published in 2001. The most recent citation comes from a 2024 study titled A systematic approach to obtain the analytical solution for coupled linear second-order ordinary differential equations: Part II. This article reached its peak citation in 2023, with 11 citations. It has been cited in 59 different journals, 11% of which are open access. Among related journals, the Linear Algebra and its Applications cited this research the most, with 11 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year