Faster access than browser!
6 relations: Eigenvalues and eigenvectors, Hermitian matrix, Identity matrix, Positive definiteness, Serial relation, Trace inequalities.
Eigenvalues and eigenvectors
In linear algebra, an eigenvector or characteristic vector of a linear transformation is a non-zero vector that changes by only a scalar factor when that linear transformation is applied to it.
New!!: Loewner order and Eigenvalues and eigenvectors · See more »
Hermitian matrix
In mathematics, a Hermitian matrix (or self-adjoint matrix) is a complex square matrix that is equal to its own conjugate transpose—that is, the element in the -th row and -th column is equal to the complex conjugate of the element in the -th row and -th column, for all indices and: Hermitian matrices can be understood as the complex extension of real symmetric matrices.
New!!: Loewner order and Hermitian matrix · See more »
Identity matrix
In linear algebra, the identity matrix, or sometimes ambiguously called a unit matrix, of size n is the n × n square matrix with ones on the main diagonal and zeros elsewhere.
New!!: Loewner order and Identity matrix · See more »
Positive definiteness
In mathematics, positive definiteness is a property of any object to which a bilinear form or a sesquilinear form may be naturally associated, which is positive definite.
New!!: Loewner order and Positive definiteness · See more »
Serial relation
In set theory, a serial relation is a binary relation R for which every element of the domain has a corresponding range element (∀ x ∃ y x R y).
New!!: Loewner order and Serial relation · See more »
Trace inequalities
In mathematics, there are many kinds of inequalities involving matrices and linear operators on Hilbert spaces.
New!!: Loewner order and Trace inequalities · See more »
