Linear Algebra

Using

using DoubleFloats, GenericLinearAlgebra, LinearAlgebra

Vectors and Matrices

using DoubleFloats, GenericLinearAlgebra, LinearAlgebra

n = 25
vector = rand(Double64, n)
matrix = reshape(rand(Double64,n*n),n,n)

Operations

• det, tr, inv
• +, -, *, /
• svdvals, eigvals

Matrix Predicates

• iszero, isone, isdiag,
• issquare, issymmetric, ishermitian,
• isposdef, isposdef!
• istril, istriu

Matrix Factorizations

• general: lu, lu!, qr, qr!
• square: schur, schur!, hessenberg, hessenberg!
• square+symmetric, Hermitian: cholesky, cholesky!