Norm-Preserving Dilations and Their Applications to Optimal Error Bounds

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Davis, Chandler, et al. “Norm-Preserving Dilations and Their Applications to Optimal Error Bounds”. SIAM Journal on Numerical Analysis, vol. 19, no. 3, 1982, pp. 445-69, https://doi.org/10.1137/0719029.
Davis, C., Kahan, W. M., & Weinberger, H. F. (1982). Norm-Preserving Dilations and Their Applications to Optimal Error Bounds. SIAM Journal on Numerical Analysis, 19(3), 445-469. https://doi.org/10.1137/0719029
Davis C, Kahan WM, Weinberger HF. Norm-Preserving Dilations and Their Applications to Optimal Error Bounds. SIAM Journal on Numerical Analysis. 1982;19(3):445-69.
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Refrences
Title Journal Journal Categories Citations Publication Date
Recent advances in numerical analysis (Proc. Sympos., Math. Res. Center, Univ. Wisconsin, Madison, Wis., 1978) 1978
10.1007/978-1-4684-2388-4_1 1977
10.1007/978-1-4684-2388-4_1 Journal of Operator Theory
  • Science: Mathematics
 1982
10.1007/978-1-4684-2388-4_1 1978
10.1007/978-1-4684-2388-4_1 Proceedings of the American Mathematical Society
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 1969
Citations
Title Journal Journal Categories Citations Publication Date
Hopf fibration in a C*‐module†

 Mathematische Nachrichten
  • Science: Mathematics
 2023
Powers of defective matrices from diagonalizable dilations Linear Algebra and its Applications
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 2023
Operators Which Preserve a Positive Definite Inner Product Integral Equations and Operator Theory
  • Science: Mathematics
 2022
The set of partial isometries as a quotient Finsler space Indagationes Mathematicae
  • Science: Mathematics
 2022
Norm-preserving dilation theorems for a block positive semidefinite (definite) matrix Linear and Multilinear Algebra
  • Science: Mathematics
 2021
Citations Analysis
Category Category Repetition
Science: Mathematics92
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods69
Technology: Engineering (General). Civil engineering (General)19
Technology: Mechanical engineering and machinery16
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics16
Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks7
Technology: Manufactures: Production management. Operations management7
Science: Physics1
Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software1
The category Science: Mathematics 92 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Contractive intertwining dilations and norm approximation techniques and was published in 1982. The most recent citation comes from a 2023 study titled Hopf fibration in a C*‐module†. This article reached its peak citation in 1988, with 9 citations. It has been cited in 43 different journals, 2% of which are open access. Among related journals, the Linear Algebra and its Applications cited this research the most, with 29 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year