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LAPACK: Applications & Standards

LAPACK ("Linear Algebra Package") is a standard software library for numerical linear algebra. It provides routines for solving systems of linear equations and linear least squares, eigenvalue problems, and singular value decomposition. It also includes routines to implement the associated matrix factorizations such as LU, QR, Cholesky and Schur…

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LAPACK topic overview

The analysis highlights Applications and Standards as prominent areas in the source structure around LAPACK.

Related topics
61
Source areas
4
Connected nodes
65
Extracted relationships
28
Concept neighborhoods
29
Bridge connections
65

What this topic covers Research coverage

Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.

Overview · 31 topics
Use with other programming languages and libraries · 14 topics
Implementations · 12 topics
Naming scheme · 4 topics

Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.

Key facts & relationships

High-confidence facts extracted from structured source data. Use them as anchors for further research.

License
BSD-new
Release
1992; 34 years ago (1992)
Repository
github.com/Reference-LAPACK/lapack
Stable release
3.12.1 / 8 January 2025; 19 months ago (8 January 2025)
Type
Software library
Written in
Fortran 90

Explore all related topics Closing gaps

Browse the complete topic structure, not only the most central items. Less prominent entities and concepts can reveal missing angles, specialized context and useful research gaps. Each item opens a new analysis centered on that subject.

Overview

Naming scheme

Use with other programming languages and libraries

Implementations

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

How LAPACK connects Entity context

The extracted context around LAPACK shows recurring relationship patterns in the source. For example, LAPACK → Additionally, LAPACKE, Many, MATLAB, SciPy, Several Another extracted example is LAPACK → As, BLAS, Since LAPACK, Some. Use these groups to spot repeated connection types before inspecting the individual relationships.

LAPACK

Top relations

related to Use with other programming languages and libraries · 6
LAPACK → Additionally, LAPACKE, Many, MATLAB, SciPy, Several
related to Implementations · 4
LAPACK → As, BLAS, Since LAPACK, Some
related to Naming scheme · 3
LAPACK → Fortran, Subroutines, This
License · 1
LAPACK → BSD-new
Release · 1
LAPACK → 1992; 34 years ago (1992)
Repository · 1
LAPACK → github.com/Reference-LAPACK/lapack
Stable release · 1
LAPACK → 3.12.1 / 8 January 2025; 19 months ago (8 January 2025)
Type · 1
LAPACK → Software library
Website · 1
LAPACK → netlib.org/lapack/
Written in · 1
LAPACK → Fortran 90

Important terminology

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

routines blas linear software linpack also implementation fortran netlib designed run written repository numerical matrix systems libraries library real subroutine

LAPACK relationships Subject–Predicate–Object triples

TTTA extracted 28 structured relationships around LAPACK. Examples in this analysis include LAPACK → License → BSD-new and LAPACK → Release → 1992; 34 years ago (1992). The table shows each extracted connection, where it came from and its confidence.

SubjectPredicateObjectConfidenceSrc
LAPACKLicenseBSD-new1.00infobox
LAPACKRelease1992; 34 years ago (1992)1.00infobox
LAPACKRepositorygithub.com/Reference-LAPACK/lapack1.00infobox
LAPACKStable release3.12.1 / 8 January 2025; 19 months ago (8 January 2025)1.00infobox
LAPACKTypeSoftware library1.00infobox
LAPACKWebsitenetlib.org/lapack/1.00infobox
LAPACKWritten inFortran 901.00infobox
LUinstance ofIt also includes routines to implement the associated matrix factorizations0.80text
QRinstance ofIt also includes routines to implement the associated matrix factorizations0.80text
Choleskyinstance ofIt also includes routines to implement the associated matrix factorizations0.80text
Schur decompositioninstance ofIt also includes routines to implement the associated matrix factorizations0.80text
ScaLAPACKinstance ofLAPACK has also been extended to run on distributed memory systems in later packages0.80text

Related concept clusters Concept neighborhoods

The concept neighborhoods around LAPACK bring nearby vocabulary together. In this analysis, examples include Blas, Software and Routines. Use the clusters to find adjacent concepts and terminology that may deserve separate research.

  • LAPACK
    • Blas
    • Software
    • Routines
    • Implementation
    • Libraries
    • Numerical
    • Library
    • Provide
    • Also
    • Fortran
    • License
    • Underlying
  • lapack
    • Blas
    • Software
    • Routines
    • Implementation
    • Libraries
    • Numerical
    • Library
    • Provide
    • Also
    • Fortran
    • License
    • Underlying
  • numerical linear algebra
    • Software
    • Eigenvalue
    • Equations
    • Libraries
    • Subroutine
    • Matrix
    • Complex
    • Double
    • Precision
    • Single
    • Routines
    • Code
  • systems of linear equations
    • Eigenvalue
    • Also
    • Equations
    • Linear
    • Decomposition
    • Subroutine
    • Matrix
    • Designed
    • Distributed
    • Linpack
    • Memory
    • Routines
  • lapack++
    • Blas
    • Software
    • Routines
    • Implementation
    • Libraries
    • Numerical
    • Library
    • Provide
    • Also
    • Fortran
    • License
    • Underlying
  • routines
    • Decomposition
    • Eigenvalue
    • Equations
    • Underlying
    • Provide
    • Implementation
    • Libraries
    • Blas
    • Complex
    • Double
    • Matrices
    • Precision
  • linear least squares
    • Eigenvalue
    • Equations
    • Subroutine
    • Matrix
    • Routines
    • Decomposition
    • Matrices
    • Code
    • Data
    • Designed
    • Library
    • Linpack
  • linear system
    • Eigenvalue
    • Equations
    • Subroutine
    • Matrix
    • Routines
    • Decomposition
    • Matrices
    • Code
    • Data
    • Designed
    • Library
    • Linpack

Connections between topic areas Semantic bridges

For LAPACK, one of the stronger structural bridges in this analysis connects LAPACK with Overview. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.

Min side: 3
LAPACK — Overview · splits 34 ⟂ 32
LAPACK — Use with other programming languages and libraries · splits 51 ⟂ 15
LAPACK — Implementations · splits 53 ⟂ 13
LAPACK — Naming scheme · splits 61 ⟂ 5

Map overview Semantic statistics

LAPACK

Nodes66
Edges65
Triples28
Avg. degree1.97
Density0.030303
Components1

Source & methodology

TTTA analyzes the structure around LAPACK to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Applications & Standards, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.

Source: Wikipedia — LAPACK · EN edition · Analysis: TopicsToTalkAbout

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