Matrix Square Root
(Redirected from Square Root of a Matrix)
A Matrix Square Root is a Mathematics that ...
- AKA: Square Root of a Matrix.
- See: Matrix Product, Mathematics, Square Root, Matrix (Mathematics), Mathematics of Computation.
References
2017
- (Wikipedia, 2017) ⇒ https://en.wikipedia.org/wiki/Square_root_of_a_matrix Retrieved:2017-6-26.
- In mathematics, the square root of a matrix extends the notion of square root from numbers to matrices.
Matrix is said to be a square root of if the matrix product is equal to .
- In mathematics, the square root of a matrix extends the notion of square root from numbers to matrices.
2021
- (Wikipedia, 2021) ⇒ https://en.wikipedia.org/wiki/Square_root_of_a_matrix Retrieved:2021-9-24.
- In mathematics, the square root of a matrix extends the notion of square root from numbers to matrices. A matrix is said to be a square root of if the matrix product BB is equal to .
Some authors use the name square root or the notation A1/2 only for the specific case when is positive semidefinite, to denote the unique matrix that is positive semidefinite and such that BB = BTB = A (for real-valued matrices, where BT is the transpose of ).
Less frequently, the name square root may be used for any factorization of a positive semidefinite matrix as , as in the Cholesky factorization, even if BB ≠ A. This distinct meaning is discussed in '.
- In mathematics, the square root of a matrix extends the notion of square root from numbers to matrices. A matrix is said to be a square root of if the matrix product BB is equal to .