
Homework assignments
... A linear map a : V → V is an isometry iff one has aa∗ = a∗ a = 1. Isometries are also called ‘orthogonal transformations’. The set of isometries is a subgroup O(V ) ⊂ GL(V ), called the orthogonal group. We will also use the group SO(V ) = O(V )∩SL(V ). A linear operator a ∈ Endk V is called symmetr ...
... A linear map a : V → V is an isometry iff one has aa∗ = a∗ a = 1. Isometries are also called ‘orthogonal transformations’. The set of isometries is a subgroup O(V ) ⊂ GL(V ), called the orthogonal group. We will also use the group SO(V ) = O(V )∩SL(V ). A linear operator a ∈ Endk V is called symmetr ...
Numerical multilinear algebra: From matrices to tensors
... Note that the optimization is over a product of nonnegative orthants. The result extends to more general cones. ...
... Note that the optimization is over a product of nonnegative orthants. The result extends to more general cones. ...