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Everything about Matrix analysis
Study of matrices and their algebraic properties
In mathematics, particularly in linear algebra and applications, matrix analysis is the study of matrices and their algebraic properties. Some particular topics out of many include; operations defined on matrices, functions of matrices, and the eigenvalues of matrices. Wikipedia →
🧠Start here: a 6-step reading path
- Read the overview: Matrix analysisA 5-minute orientation
- Skim a recent paper: Imaging data analysis using non-negative matrix factorizationInfluential work since 2022
- Pick up a classic book: Structural analysisThe most-reprinted book on the subject
- Read the landmark paper: Matrix Analysis: Matrix Monotone Functions, Matrix Means, and MajorizationCited 45 times
- Go sideways: Perron–Frobenius theoremA closely related topic
- Go sideways: Modal matrixA closely related topic
đź“– Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
Matrix Analysis: Matrix Monotone Functions, Matrix Means, and Majorization
Matrix Iterative Analysis
Matrix Methods of Population Analysis
Analysis Matrix for Smart Cities
Matrix Linear Discriminant Analysis
Digraph Matrix Analysis
Using template and matrix analysis
Combinatorial matrix analysis: An overview
🆕 Influential since 2022
Imaging data analysis using non-negative matrix factorization
Covariance Matrix Preparation for Quantum Principal Component Analysis
High Fidelity Hydroelastic Analysis Using Modal Matrix Reduction
Energy decomposition analysis method using density matrix formulation
Analysis and Application of Matrix-Form Neural Networks for Fast Matrix-Variable Convex Optimization
đź“š Books worth reading
Structural analysisA. Ghali, Amin Ghali · 1972
Matrices for structural analysisSydney John McMinn · 1962
Matrix methods of structural analysisR. K. Livesley · 1964- 📕Matrix Methods of Structural AnalysisPraveen Nagarajan · 2018
Vectors and matricesCyrus Colton MacDuffee · 1943
Theory of matrix structural analysisJ. S. Przemieniecki · 1967
Matrix iterative analysisRichard S. Varga · 1962
Generalized inversesAdi Ben-Israel · 1980
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
đź”— Related topics
- Perron–Frobenius theorem In matrix theory, the Perron–Frobenius theorem, proved in its first part by Oskar Perron (1907) and extended by Georg Frobenius (1912), asserts that a…
- Modal matrix In linear algebra, the modal matrix is used in the diagonalization process involving eigenvalues and eigenvectors. Specifically the modal matrix M {\displaystyl…
- Logarithm of a matrix In mathematics, a logarithm of a matrix is another matrix such that the matrix exponential of the latter matrix equals the original matrix. It is thus…
- Canonical basis In mathematics, a canonical basis is a basis of an algebraic structure that is canonical in a sense that depends on the precise context: In a coordinate…
- Circulant matrix In linear algebra, a circulant matrix is a square matrix in which each row is a cyclic shift, by one position, of the row above it. Equivalently, its entries…
- Structure constants In mathematics, the structure constants or structure coefficients of an algebra over a field are the coefficients of the basis expansion (into linear combinatio…
- Numerical range In the mathematical field of linear algebra and convex analysis, the numerical range or field of values or Wertvorrat or Wertevorrat of a complex n × n…
- Quadratic eigenvalue problem In mathematics, the quadratic eigenvalue problem (QEP), is to find scalar eigenvalues λ {\displaystyle \lambda } , left eigenvectors y {\displaystyle y}…