The least squares problem is an extremely useful device to represent an approximate solution to overdetermined systems, and a QR factorisation is a common method for solving least squares problems. It is often the case that multiple least squares solutions have to be computed with only minor changes in the underlying data. In this case, knowledge of the difference between the old data set and the new one can be used to update an existing QR factorisation at a reduced computational cost. However, fairly recent developments have introduced the widespread use of massively parallel computational devices known as GPUs. GPUs have allowed QR factorisations, and subsequently, least squares solutions to be calculated in a greatly reduced time. The p...
QR factorization is a ubiquitous operation in many engineering and scientific applications. In this ...
QR factorization is a ubiquitous operation in many engineering and scientific applications. In this ...
AbstractA new algorithm is presented for the efficient solution of large least squares problems in w...
The least squares problem is an extremely useful device to represent an approximate solution to over...
Linear least squares problems are commonly solved by QR factorization. When multiple solutions have ...
AbstractLinear least squares problems are commonly solved by QR factorization. When multiple solutio...
QR decomposition is a computationally intensive linear al-gebra operation that factors a matrix A in...
In a least squares problem we wish to oeffic jjRx f jj22 QR factorizations are computationally expe...
The processing of digital sound signals often requires the computation of the QR factorization of a ...
Today it is usual to have computational systems formed by a multicore together with one or more GPUs...
Low-rank matrices arise in many scientific and engineering computations. Both computational and stor...
AbstractThis paper analyzes the use of a multicore+multiGPU system for solving Simultaneous Equation...
Least squares problems occur in many branches of science. Typically there may be a large number of d...
The LAPACK routines \( \texttt{GEQRT2}\) and \(\texttt{GEQRT3}\) can be used to compute the QR decom...
The QR factorization is one of the most important operations in dense linear algebra, offering a num...
QR factorization is a ubiquitous operation in many engineering and scientific applications. In this ...
QR factorization is a ubiquitous operation in many engineering and scientific applications. In this ...
AbstractA new algorithm is presented for the efficient solution of large least squares problems in w...
The least squares problem is an extremely useful device to represent an approximate solution to over...
Linear least squares problems are commonly solved by QR factorization. When multiple solutions have ...
AbstractLinear least squares problems are commonly solved by QR factorization. When multiple solutio...
QR decomposition is a computationally intensive linear al-gebra operation that factors a matrix A in...
In a least squares problem we wish to oeffic jjRx f jj22 QR factorizations are computationally expe...
The processing of digital sound signals often requires the computation of the QR factorization of a ...
Today it is usual to have computational systems formed by a multicore together with one or more GPUs...
Low-rank matrices arise in many scientific and engineering computations. Both computational and stor...
AbstractThis paper analyzes the use of a multicore+multiGPU system for solving Simultaneous Equation...
Least squares problems occur in many branches of science. Typically there may be a large number of d...
The LAPACK routines \( \texttt{GEQRT2}\) and \(\texttt{GEQRT3}\) can be used to compute the QR decom...
The QR factorization is one of the most important operations in dense linear algebra, offering a num...
QR factorization is a ubiquitous operation in many engineering and scientific applications. In this ...
QR factorization is a ubiquitous operation in many engineering and scientific applications. In this ...
AbstractA new algorithm is presented for the efficient solution of large least squares problems in w...