The QR Transformation, Parts I and II

Francis, J. G. F. (1962). The QR Transformation, Parts I and II: A Unitary Analogue to the LR Transformation—Part 1. The Computer Journal, 4(1961–1962), 1961-1962.

Type

Journal article

Intellectual base

Primary research

Year

1962

DOI

10.1093/comjnl/4.3.265

Link

https://doi.org/10.1093/comjnl/4.3.265

Cited by

2 citations across 2 artifacts.

Domain-specific

• Hessenberg Matrix
  • Householder established unitary triangularization machinery that underlies stable reductions. Francis's implicit QR work made the two-stage reduction-and-iteration architecture computationally decisive.
• QR Algorithm
  • Under appropriate conditions, repeated steps drive the matrix toward triangular complex Schur form, or quasi-triangular real Schur form.

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Links previously used in the corpus

Before the registry existed this work was also linked 1 other way.

• https://doi.org/10.1093/comjnl/4.4.332 ×1

Registry ID ref:9864125584b0 · see in the full table