Saad and Schultz: GMRES for nonsymmetric linear systems

What changed

Introduced and analyzed GMRES residual minimization over Arnoldi Krylov subspaces.

Scientific scope

The record is the exact two-author 1986 SIAM paper. It does not absorb earlier Krylov methods, every preconditioner, restarted variants or later convergence analyses.

Evidence

The linked sources identify this contribution and its scope. WRS has not independently reconstructed the scientific claims. The record is the exact two-author 1986 SIAM paper. It does not absorb earlier Krylov methods, every preconditioner, restarted variants or later convergence analyses.

Contributors

• Youcef Saad · SCIENCE: Named source author of the scoped work; individual effort shares are not measured.
• Martin H. Schultz · SCIENCE: Named source author of the scoped work; individual effort shares are not measured.

• Saad and Schultz: GMRES for nonsymmetric linear systems

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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