Notes in Theory

To Subscribe, use this Key

Status	Last Update	Fields
Published	01/09/2025	What is the Kronecker delta?
Published	01/09/2025	Create matrix of zeros in Eigen
Published	01/09/2025	Complexity of outer product xy^T
Published	01/09/2025	Complexity of inner product x^Ty
Published	01/09/2025	Complexity of matrix-vector multiplication Ax
Published	01/09/2025	Complexity of matrix-matrix multiplication A(mxn)B(nxk)
Published	01/10/2025	Largest positive number in the set of machine numbers
Published	01/10/2025	Smallest positive number in the set of machine numbers
Published	01/09/2025	What is cancellation?
Published	01/09/2025	Name four techniques to avoid cancellation
Published	01/09/2025	When is a matrix is sparse?
Published	01/09/2025	What are the three sparse matrix storage formats?
Published	01/09/2025	What is the COO/Triplet format?
Published	01/09/2025	Explain the Compressed Row Storage
Published	01/09/2025	How to get the Compressed Column Storage of matrix A?
Published	01/09/2025	How to initialise a Sparse Matrix?
Published	01/09/2025	Runtime of a Gaussian elimination for a square LSE
Published	01/09/2025	What is a least squares solution?
Published	01/09/2025	When is the LSQ solution unique?
Published	01/09/2025	What is the Minimum Norm Least Squares?
Published	01/09/2025	What are the potential problems with the normal equation?
Published	01/09/2025	What is the extended normal equation?
Published	01/09/2025	If A is a matrix with orthonormal columns, what properties hold?
Published	01/09/2025	What equations does an orthogonal square matrix fulfil?
Published	01/09/2025	What are the properties of Q and R in QR decomposition?
Published	01/09/2025	When is the economic QR decomposition for matrix A unique?
Published	01/09/2025	What is the householder reflector of v?
Published	01/09/2025	What is the runtime using householder reflection for QR decomposition?
Published	01/09/2025	What are the Givens rotations?
Published	01/09/2025	How to do QR decomposition for an overdetermined LSE?
Published	01/09/2025	How to construct a polynomial that minimises least square error?
Published	01/09/2025	Runtime of householder reflections and givens rotations
Status	Last Update	Fields