The Emergence Machine

Lobpcg

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

A matrix-free method for finding the largest (or smallest) eigenvalues, but this definition lacks a clear understanding of the underlying concept of eigenvalue.

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Wiktionary senses

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

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

Historical origin

Origin word
LOBPCG
Origin language
English

Prerequisite chain

Possible path of this concept down to the fundamental substrate.

thisfoundationsL2L1L0LobpcgApproachQuantityPatternSpaceE1 concrete → E14 abstract

Neighborhood

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

thisprerequisitesLobpcgL2ApproachL1QuantityL1E1 concrete → E14 abstract

In other languages

Prerequisites

What you need to understand first.

  • Approach L1 (requires)
    Lobpcg is a method that requires a specific approach to eigenvalue problems
  • Quantity L1 (requires)
    lobpcg requires understanding quantity as a foundational concept