What is recorded here?
Presented conjugate-gradient algorithms for solving symmetric positive-definite linear systems, with finite-step exact-arithmetic analysis and connections to elimination, orthogonal polynomials and continued fractions.
Source-linked catalogue note. A detailed explanatory guide has not yet been prepared for this entry.
Scientific scope
The record is the exact two-author 1952 joint paper. The authors document independent development and contributions by Lanczos, Rosser, Forsythe and Paige; finite-precision behavior, preconditioning and later Krylov methods remain separate.
Read the original work
- NIST full text of conjugate-gradient paper
- NIST historical page for conjugate-gradient and Lanczos iterations
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People and systems
Magnus R. Hestenes; Eduard Stiefel
The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.
Research locations and affiliations
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Documented countries / regions: United States, Switzerland
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English catalogue narrative
Hestenes and Stiefel: conjugate gradients for linear systems
Presented conjugate-gradient algorithms for solving symmetric positive-definite linear systems, with finite-step exact-arithmetic analysis and connections to elimination, orthogonal polynomials and continued fractions.
Scientific scope
The record is the exact two-author 1952 joint paper. The authors document independent development and contributions by Lanczos, Rosser, Forsythe and Paige; finite-precision behavior, preconditioning and later Krylov methods remain separate.
Reading status
This is a source-linked WRS catalogue note. A full explanatory guide and independent scientific reconstruction have not been completed for this entry. Read the identified original work for its complete narrative and arguments.
People and systems
Magnus R. Hestenes; Eduard Stiefel
The named authors contributed to this scoped work; individual effort shares and later applications are not assigned by the byline.