Structured linear algebra techniques enable one to deal at once with various types of matrices, with features such as Toeplitz-, Hankel-, Vandermonde- or Cauchy-likeness. Following...
Abstract. Many vector-valued functions, representing expensive computations, are also structured computations. In this case the calculation of the Newton step can be greatly accele...
Linear systems with structures such as Toeplitz-, Vandermonde- or Cauchy-likeness can be solved in O˜(α2 n) operations, where n is the matrix size, α is its displacement rank, ...
We consider the problem of solving a linear system Ax = b over a cyclotomic field. What makes cyclotomic fields of special interest is that we can easily find a prime p that sp...
Computing the solution to a system of linear equations is a fundamental problem in scientific computing, and its acceleration has drawn wide interest in the FPGA community [1–3]...