Matrix analysis: Difference between revisions

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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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===Further reading===

*{{cite book|title=Matrix Analysis and Applied Linear Algebra Book and Solutions Manual|author=C. Meyer|year=2000 |publisher=SIAM|isbn=089-871-454-0|volume=2|series=Matrix Analysis and Applied Linear Algebra|url=https://books.google.com/books?id=Zg4M0iFlbGcC&q=Matrix+Analysis}}

*{{cite book|title=Applied Linear Algebra and Matrix Analysis|author=T. S. Shores|year=2007|publisher=Springer|isbn=978-038-733-195-9|series=[[Undergraduate Texts in Mathematics]]|url=https://books.google.com/books?id=8qwTb9P-iW8C&q=Matrix+Analysis}}

*{{cite book|title=Matrix Analysis|author=Rajendra Bhatia|year=1997|volume=169|series=Matrix Analysis Series|publisher=Springer|isbn=038-794-846-5|url=https://books.google.com/books?id=F4hRy1F1M6QC&q=matrix+analysis}}

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[[Category:Linear algebra]]

[[Category:Matrices (mathematics)]]

[[Category:Numerical analysis]]