A composition of functions consisting of a linear transformation between vector spaces followed by a translation.[1] Equivalently, a function between vector spaces that preserves affine combinations.
The unique scalar function over square matrices which is distributive over matrix multiplication, multilinear in the rows and columns, and takes the value of for the unit matrix.
a factorization of an complex matrix M as , where U is an complex
unitary matrix, is an rectangular diagonal matrix with non-negative real numbers on the diagonal, and V is an complex unitary matrix.[10]
A composition of functions consisting of a linear transformation between vector spaces followed by a translation.[1] Equivalently, a function between vector spaces that preserves affine combinations.
The unique scalar function over square matrices which is distributive over matrix multiplication, multilinear in the rows and columns, and takes the value of for the unit matrix.
a factorization of an complex matrix M as , where U is an complex
unitary matrix, is an rectangular diagonal matrix with non-negative real numbers on the diagonal, and V is an complex unitary matrix.[10]