“Know how to solve every problem that has been solved.” “What I cannot create, I do not understand.” — Richard Feynman

Padé-via-Lanczos (shift-invert Lanczos around a chosen σ) is used instead of plain Lanczos for circuit model-order reduction because plain Lanczos on K wastes its Ritz values away from the operating band — to span many decades of frequency it needs a chain so long that the reduced model costs as much as a dense direct solve.

Claims

Padé-via-Lanczos (shift-invert Lanczos around a chosen σ) is used instead of plain Lanczos for circuit model-order reduction because plain Lanczos on K wastes its Ritz values away from the operating band — to span many decades of frequency it needs a chain so long that the reduced model costs as much as a dense direct solve.

✓ supported structural 90% draft numerical-methodslinear-algebramodel-order-reductionlanczospadekrylov-methods
id: pade-via-lanczos-is-used-instead-of-ordinary-lanczos created: 2026-05-21 ← all claims