Iterative refinement enhances the stability of QR factorization methods for solving linear equations

Sciences

Robert Andrew

January 2012

The least squares problem is an extremely useful device to represent an approximate solution to over...

Updating QR factorization procedure for solution of linear least squares problem with equality constraints

Salman Zeb
Muhammad Yousaf

November 2017

Abstract In this article, we present a QR updating procedure as a solution approach for linear least...

Notes on accuracy and stability of algorithms in numerical linear algebra

Higham, N.
Manchester Centre for Computational Mathematics (United Kingdom)

January 1998

SIGLEAvailable from British Library Document Supply Centre-DSC:6184.6725(no 333) / BLDSC - British L...

Iterative refinement enhances the stability of QR factorization methods for solving linear equations

Higham, Nicholas J.

January 1991

Iterative refinement is a well-known technique for improving the quality of an approximate solution ...

Stability of Householder QR factorization for weighted least squares problems

Cox, A.J.
Higham, N.J.
Manchester Centre for Computational Mathematics (United Kingdom)

January 1997

SIGLEAvailable from British Library Document Supply Centre-DSC:6184.6725(301) / BLDSC - British Libr...

Preconditioning of iterative methods for linearised or linear systems

Connolley, W.M

January 1989

SIGLEAvailable from British Library Document Supply Centre- DSC:D92328 / BLDSC - British Library Doc...

QR factorization with complete pivoting and accurate computation of the SVD

Higham, N.J.
Manchester Centre for Computational Mathematics (United Kingdom)

January 1999

Revised version of September 1998Available from British Library Document Supply Centre-DSC:6184.6725...

On orthogonal polynomials transformed by the QR algorithm

Buhmann, M.
Iserles, A
Cambridge Univ. (United Kingdom). Dept. of Applied Mathematics and Theoretical Physics

January 1991

SIGLEAvailable from British Library Document Supply Centre- DSC:9106.1605(CU-DAMTP-NA--7/1991) / BLD...

QR Factorization for the Cell Broadband Engine

Jakub Kurzak
Jack Dongarra

January 2009

The QR factorization is one of the most important operations in dense linear algebra, offering a num...

Designing LU-QR hybrid solvers for performance and stability

Faverge, Mathieu
Herrmann, Julien
Langou, Julien
Lowery, Bradley
Robert, Yves
Dongarra, Jack

May 2014

International audienceThis paper introduces hybrid LU-QR al- gorithms for solving dense linear syste...

Mixing LU and QR factorization algorithms to design high-performance dense linear algebra solvers

Faverge, Mathieu
Herrmann, Julien
Langou, Julien
Lowery, Bradley
Robert, Yves
Dongarra, Jack

November 2015

International audienceThis paper introduces hybrid LU-QR algorithms for solving dense linear sys-tem...

Quadratic programming using complementary and orthogonal factorization

Bryne, S

January 1980

SIGLEAvailable from British Library Document Supply Centre- DSC:D33629/81 / BLDSC - British Library ...

An examination of stability criteria for iterative numerical schemes used in solving differential equations

Moore, K.
Royal Aircraft Establishment, Farnborough (UK)

January 1981

SIGLELD:8717.806(RAE-TR--81081). / BLDSC - British Library Document Supply CentreGBUnited Kingdo

The use of QR factorization in sparse quadratic programming

Arioli, M.
Consiglio Nazionale delle Ricerche, Pavia (Italy). Istituto di Analisi Numerica

January 1997

Consiglio Nazionale delle Ricerche - Biblioteca Centrale - P.le Aldo Moro, 7 , Rome / CNR - Consigli...

Stable iterations for the matrix square root

Higham, N.J.
Manchester Centre for Computational Mathematics (United Kingdom)

January 1997

SIGLEAvailable from British Library Document Supply Centre-DSC:6184.6725(305) / BLDSC - British Libr...

Sciences

Robert Andrew

January 2012

The least squares problem is an extremely useful device to represent an approximate solution to over...

Updating QR factorization procedure for solution of linear least squares problem with equality constraints

Salman Zeb
Muhammad Yousaf

November 2017

Abstract In this article, we present a QR updating procedure as a solution approach for linear least...

Notes on accuracy and stability of algorithms in numerical linear algebra

Higham, N.
Manchester Centre for Computational Mathematics (United Kingdom)

January 1998

SIGLEAvailable from British Library Document Supply Centre-DSC:6184.6725(no 333) / BLDSC - British L...

Iterative refinement enhances the stability of QR factorization methods for solving linear equations

Higham, Nicholas J.

January 1991

Iterative refinement is a well-known technique for improving the quality of an approximate solution ...

Stability of Householder QR factorization for weighted least squares problems

Cox, A.J.
Higham, N.J.
Manchester Centre for Computational Mathematics (United Kingdom)

January 1997

SIGLEAvailable from British Library Document Supply Centre-DSC:6184.6725(301) / BLDSC - British Libr...

Preconditioning of iterative methods for linearised or linear systems

Connolley, W.M

January 1989

SIGLEAvailable from British Library Document Supply Centre- DSC:D92328 / BLDSC - British Library Doc...

QR factorization with complete pivoting and accurate computation of the SVD

Higham, N.J.
Manchester Centre for Computational Mathematics (United Kingdom)

January 1999

Revised version of September 1998Available from British Library Document Supply Centre-DSC:6184.6725...

On orthogonal polynomials transformed by the QR algorithm

Buhmann, M.
Iserles, A
Cambridge Univ. (United Kingdom). Dept. of Applied Mathematics and Theoretical Physics

January 1991

SIGLEAvailable from British Library Document Supply Centre- DSC:9106.1605(CU-DAMTP-NA--7/1991) / BLD...

QR Factorization for the Cell Broadband Engine

Jakub Kurzak
Jack Dongarra

January 2009

The QR factorization is one of the most important operations in dense linear algebra, offering a num...

Designing LU-QR hybrid solvers for performance and stability

Faverge, Mathieu
Herrmann, Julien
Langou, Julien
Lowery, Bradley
Robert, Yves
Dongarra, Jack

May 2014

International audienceThis paper introduces hybrid LU-QR al- gorithms for solving dense linear syste...

Mixing LU and QR factorization algorithms to design high-performance dense linear algebra solvers

Faverge, Mathieu
Herrmann, Julien
Langou, Julien
Lowery, Bradley
Robert, Yves
Dongarra, Jack

November 2015

International audienceThis paper introduces hybrid LU-QR algorithms for solving dense linear sys-tem...

Quadratic programming using complementary and orthogonal factorization

Bryne, S

January 1980

SIGLEAvailable from British Library Document Supply Centre- DSC:D33629/81 / BLDSC - British Library ...

An examination of stability criteria for iterative numerical schemes used in solving differential equations

Moore, K.
Royal Aircraft Establishment, Farnborough (UK)

January 1981

SIGLELD:8717.806(RAE-TR--81081). / BLDSC - British Library Document Supply CentreGBUnited Kingdo

The use of QR factorization in sparse quadratic programming

Arioli, M.
Consiglio Nazionale delle Ricerche, Pavia (Italy). Istituto di Analisi Numerica

January 1997

Consiglio Nazionale delle Ricerche - Biblioteca Centrale - P.le Aldo Moro, 7 , Rome / CNR - Consigli...

Stable iterations for the matrix square root

Higham, N.J.
Manchester Centre for Computational Mathematics (United Kingdom)

January 1997

SIGLEAvailable from British Library Document Supply Centre-DSC:6184.6725(305) / BLDSC - British Libr...

Sciences

Robert Andrew

January 2012

The least squares problem is an extremely useful device to represent an approximate solution to over...

Updating QR factorization procedure for solution of linear least squares problem with equality constraints

Salman Zeb
Muhammad Yousaf

November 2017

Abstract In this article, we present a QR updating procedure as a solution approach for linear least...

Notes on accuracy and stability of algorithms in numerical linear algebra

Higham, N.
Manchester Centre for Computational Mathematics (United Kingdom)

January 1998

SIGLEAvailable from British Library Document Supply Centre-DSC:6184.6725(no 333) / BLDSC - British L...

Iterative refinement enhances the stability of QR factorization methods for solving linear equations

Abstract

Extracted data

Iterative refinement enhances the stability of QR factorization methods for solving linear equations

Abstract

Extracted data

Related items

Related items