Linear Algebra

An iterative algorithm for solving large systems of linear equations efficiently.

cuBLAS is a GPU-accelerated library for performing basic linear algebra operations using NVIDIA GPUs.

An inner product is a mathematical operation that generalizes the dot product for vectors in a vector space.

The Kronecker Product is a mathematical operation that combines two matrices into a larger matrix.

A linear combination is a mathematical expression formed by multiplying variables by coefficients and adding the results together.

Linear dependence occurs when a set of vectors can be expressed as a linear combination of others in the set.

Linear independence refers to a condition in vector spaces where no vector can be expressed as a linear combination of others.

A linear transformation is a mathematical function that maps vectors to vectors while preserving vector addition and scalar multiplication.

A low-rank matrix has a rank significantly less than its dimensions, allowing for efficient data representation and approximation.