Tensor Spaces and Numerical Tensor Calculus (2nd ed.)

Special numerical techniques are already needed to deal with n × n matrices for large n . Tensor data are of size n × n ×...× n = nd , where nd exceeds the computer memory by far. They appear for problems of high spatial dimensions. Since standard methods fail, a particular tensor calculus is needed to treat such problems. This monograph describes the methods by which tensors can be practically treated and shows how numerical operations can be performed. Applications include problems from quantu