Live briefing
Everything about Numerical range
Aspect of a numerical matrix
In the mathematical field of linear algebra and convex analysis, the numerical range or field of values or Wertvorrat or Wertevorrat of a complex matrix A is the set where denotes the conjugate transpose of the vector. The numerical range includes, in particular, the diagonal entries of the matrix and the eigenvalues of the matrix. Wikipedia →
🧠Start here: a 6-step reading path
- Read the overview: Numerical rangeA 5-minute orientation
- Skim a recent paper: Analytic and numerical bootstrap for the long-range Ising modelInfluential work since 2022
- Pick up a classic book: Ten, nine, eightThe most-reprinted book on the subject
- Read the landmark paper: A theorem on numerical rangeCited 83 times
- Go sideways: Bridgeland stability conditionA closely related topic
- Go sideways: Hilbert C*-moduleA closely related topic
đź“– Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
A theorem on numerical range
Numerical Range of Matrix Polynomials
Mapping Theorems for the Numerical Range
NUMERICAL RANGE AND PONCELET PROPERTY
Normality and the numerical range
Differential topology of numerical range
Numerical range of linear pencils
Normality and the Higher Numerical Range
🆕 Influential since 2022
Analytic and numerical bootstrap for the long-range Ising model
Further results on the a-numerical range in $$C^*$$-algebras
A numerical range approach to Birkhoff–James orthogonality with applications
S-spectrum and numerical range of a quaternionic operator
On the numerical range of Kac-Sylvester matrices
đź“š Books worth reading
Ten, nine, eightMolly Bang, Clarita Kohen · 1982
Numerical rangePinchover, Duggirala K.M. Rao · 1996- 📕Phillips Laboratory global spectral numerical weather prediction modelDonald C. Norquist · 1992
- đź“•GidrodinamicheskiÄ kratkosrochnyÄ prognoz pogody i mezometeorologiiď¸ a︡V. V. Bykov · 1979
- 📕Voprosy gidrodinamicheskogo kratkosrochnogo prognoza pogody i mezometeorologii · 1988
- 📕Zhong qi shu zhi tian qi yu bao ji zai hai xing tian qi yu bao yan jiu cheng guo hui bian · 1991
- 📕Long range forecasts of the Northern Hemisphere anomalies with antecedent sea surface temperature patternsErnest C. Kung · 1994
Next Generation Earth Systems PredictionCommittee on Developing a U.S. Research Agenda to Advance Subseasonal to Seasonal Forecasting, National Academies of Sciences, Engineering, and Medicine · 2016
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
đź”— Related topics
- Bridgeland stability condition In mathematics, and especially algebraic geometry, a Bridgeland stability condition is an algebro-geometric stability condition defined on elements of…
- Hilbert C*-module Hilbert C*-modules are mathematical objects that generalise the notion of Hilbert spaces (which are themselves generalisations of Euclidean space), in…
- Frame (linear algebra) In linear algebra, a frame of an inner product space is a generalization of a basis of a vector space to sets that may be linearly dependent. In the terminology…
- Aharonov–Jones–Landau algorithm In computer science, the Aharonov–Jones–Landau (AJL) algorithm is an efficient quantum algorithm for obtaining an additive approximation of the Jones polynomial…
- Casson invariant In 3-dimensional topology, a part of the mathematical field of geometric topology, the Casson invariant is an integer-valued invariant of oriented integral…
- Positive operator In mathematics (specifically linear algebra, operator theory, and functional analysis) as well as physics, a linear operator A {\displaystyle A} acting…
- Hermitian Yang–Mills connection In mathematics, and in particular gauge theory and complex geometry, a Hermitian Yang–Mills connection (or Hermite–Einstein connection) is a Chern connection…
- Symmetric matrix In linear algebra, a symmetric matrix is a square matrix that is equal to its transpose. Formally, A is symmetric ⟺ A = A T . {\displaystyle A{\text{…