Ill-Conditioned Eigensystems and the Computation of the Jordan Canonical Form¶
Golub, G. H., & Wilkinson, J. H. (1976). Ill-Conditioned Eigensystems and the Computation of the Jordan Canonical Form. SIAM Review.
Cited by¶
1 citation across 1 artifact.
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Domain-specific¶
- Minimal Polynomial (Linear Algebra)
- The constructions are closely related, but the domain object and downstream roles differ. Not a numerical approximation. Exact minimal-polynomial computation is algebraic and can be unstable as a floating-point inference for nearly defective matrices
This sourceThe classic account of why Jordan structure is discontinuous under arbitrarily small perturbation — in floating point one cannot even decide whether a matrix is defective — which is what makes the minimal polynomial's primary exponents an unstable numerical inference for near-defective matrices.
Supported in partVerified against the source
- The constructions are closely related, but the domain object and downstream roles differ. Not a numerical approximation. Exact minimal-polynomial computation is algebraic and can be unstable as a floating-point inference for nearly defective matrices
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