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Conjugate Gradient Method/Evidence
Method evidence record

Conjugate Gradient Method

The Conjugate Gradient (CG) Method is an iterative algorithm for solving large sparse symmetric positive-definite linear systems Ax = b, developed by Hestenes and Stiefel in 1952. It is one of the most widely used iterative solvers in scientific computing because it converges in at most n iterations for an n × n matrix and typically requires far fewer.

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Citations copied verbatim from the method’s source record. No claim-level verification is inferred from them.

Conjugate Gradient Method for Linear Systems
Taxonomic method record · ml-model / numerical-methods
  • Hestenes, M. R., & Stiefel, E. (1952). Methods of conjugate gradients for solving linear systems. Journal of Research of the National Bureau of Standards, 49(6), 409–436. · DOI 10.6028/jres.049.044
  • Saad, Y. (2003). Iterative Methods for Sparse Linear Systems (2nd ed.). SIAM. · DOI 10.1137/1.9780898718003
  • Nocedal, J., & Wright, S. J. (2006). Numerical Optimization (2nd ed.). Springer. · DOI 10.1007/978-0-387-40065-5
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Taxonomic bucketGMRESmachine-suggested · Relational suggestion, not evidence.

Evidence status

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Sources

3 recorded citations, copied from the method source record.

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