The Emergence Machine

Arnoldi Iteration

abstract · Mathematics · Level 2 · E1

E1Particles

Each concept here is mapped to its prerequisites — the ideas you'd need first to understand it — all the way down to four foundations: Space, Time, Energy, Pattern. Click any prerequisite to drill down, or scroll for the chain graph.

Trace. Question. Emerge.

Emergence definition

The arnoldi iteration is a method for iteratively approximating eigenvectors by applying a sequence of transformations to a given matrix, leveraging the concept of quantity to express the relationships between vectors.

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Wiktionary senses

External reference — all senses of the word “Arnoldi iteration” on Wiktionary. This atlas concept maps to only the slice of meaning relevant to the prerequisite graph.

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Source: Wiktionary — “Arnoldi iteration”. Content available under CC BY-SA 4.0.

Historical origin

Origin word
Arnoldi iteration
Origin language
English

Prerequisite chain

Possible path of this concept down to the fundamental substrate.

thisfoundationsL2L1L0Arnoldi IterationQuantityPatternSpaceE1 concrete → E14 abstract

Neighborhood

Direct prerequisites above, concepts that depend on this one below.

thisprerequisitesArnoldi IterationL2QuantityL1E1 concrete → E14 abstract

In other languages

Prerequisites

What you need to understand first.

  • Quantity L1 (requires)
    arnoldi iteration requires understanding quantity as a foundational concept