Matrix analysis: Difference between revisions

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Importing Wikidata short description: "Study of matrices and their algebraic properties"
 
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{{Short description|Study of matrices and their algebraic properties}}
In [[mathematics]], particularly in [[linear algebra]] and applications, '''matrix analysis''' is the study of [[matrix (mathematics)|matrices]] and their algebraic properties.<ref>{{cite book|title=Matrix Analysis|author=R. A. Horn, C. R. Johnson|year=2012|publisher=Cambridge University Press|isbn=978-052-183-940-2|edition=2nd|url=https://books.google.com/books?id=5I5AYeeh0JUC&q=matrix+analysis}}
</ref> Some particular topics out of many include; operations defined on matrices (such as [[matrix addition]], [[matrix multiplication]] and operations derived from these), functions of matrices (such as [[matrix exponentiation]] and [[matrix logarithm]], and even [[sines and cosines]] etc. of matrices), and the [[eigenvalue]]s of matrices ([[eigendecomposition of a matrix]], [[eigenvalue perturbation]] theory).<ref>{{cite book|title=Functions of Matrices: Theory and Computation|author=N. J. Higham|year=2000 |publisher=SIAM|isbn=089-871-777-9|url=https://books.google.com/books?id=S6gpNn1JmbgC&q=matrix+functions}}
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[[Category:Linear algebra]]
[[Category:Matrices (mathematics)]]
[[Category:Numerical analysis]]