Musheng Wei

J. Appl. Math. Comput., August, 2024

The forward rounding error analysis of the partial pivoting quaternion LU decomposition.

[BibT_eX]

[DOI]

Numer. Algorithms, May, 2024

Dual quaternion singular value decomposition based on bidiagonalization to a dual number matrix using dual quaternion householder transformations.

[BibT_eX]

[DOI]

Appl. Math. Lett., 2024

2021

An algorithm based on QSVD for the quaternion equality constrained least squares problem.

[BibT_eX]

[DOI]

Numer. Algorithms, 2021

An efficient real representation method for least squares problem of the quaternion constrained matrix equation AXB + CY D = E.

[BibT_eX]

[DOI]

Int. J. Comput. Math., 2021

2020

On accurate error estimates for the quaternion least squares and weighted least squares problems.

[BibT_eX]

[DOI]

Int. J. Comput. Math., 2020

All solutions of the Yang-Baxter-like matrix equation for diagonalizable coefficient matrix with two different eigenvalues.

[BibT_eX]

[DOI]

Appl. Math. Lett., 2020

A note on the matrix-scaled total least squares problems with multiple solutions.

[BibT_eX]

[DOI]

Qiaohua Liu

Cuiping Chen

Appl. Math. Lett., 2020

2019

On the power method for quaternion right eigenvalue problem.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2019

2018

The minimal norm least squares Hermitian solution of the complex matrix equation AXB+CXD=E.

[BibT_eX]

[DOI]

J. Frankl. Inst., 2018

A new real structure-preserving quaternion QR algorithm.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2018

An efficient method for special least squares solution of the complex matrix equation (AXB, CXD)=(E, F).

[BibT_eX]

[DOI]

Comput. Math. Appl., 2018

2017

A New TV-Stokes Model for Image Deblurring and Denoising with Fast Algorithms.

[BibT_eX]

[DOI]

J. Sci. Comput., 2017

2016

Real structure-preserving algorithms of Householder based transformations for quaternion matrices.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2016

A New Double Color Image Watermarking Algorithm Based on the SVD and Arnold Scrambling.

[BibT_eX]

[DOI]

J. Appl. Math., 2016

2015

Minimum rank (skew) Hermitian solutions to the matrix approximation problem in the spectral norm.

[BibT_eX]

[DOI]

Yonghui Liu

J. Comput. Appl. Math., 2015

Perturbation analysis for the matrix least squares problem AXB=C.

[BibT_eX]

[DOI]

Sitao Ling

J. Comput. Appl. Math., 2015

The pole assignment for the regular triangular decoupling problem.

[BibT_eX]

[DOI]

Autom., 2015

Special least squares solutions of the quaternion matrix equation AX=B with applications.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2015

2014

A fast structure-preserving method for computing the singular value decomposition of quaternion matrices.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2014

2013

A new structure-preserving method for quaternion Hermitian eigenvalue problems.

[BibT_eX]

[DOI]

Sitao Ling

J. Comput. Appl. Math., 2013

Pole assignment in the regular row-by-row decoupling problem.

[BibT_eX]

[DOI]

Autom., 2013

The extremal solution of the matrix equation Xs + A*X-qA = I.

[BibT_eX]

[DOI]

Shanrui Hu

Appl. Math. Comput., 2013

All solutions and pole assignments for the regular triangular decoupling problem.

[BibT_eX]

[DOI]

Proceedings of the 9th Asian Control Conference, 2013

2012

Minimum Rank Solutions to the Matrix Approximation Problems in the Spectral Norm.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2012

Some new properties of the right invertible system in control theory.

[BibT_eX]

[DOI]

Autom., 2012

2011

A Real-Valued Spectral Decomposition of the Undamped Gyroscopic System with Applications.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2011

2010

A Canonical Decomposition of the Right Invertible System with Applications.

[BibT_eX]

[DOI]

Xuehan Cheng

Qian Wang

SIAM J. Matrix Anal. Appl., 2010

Procrustes problems for (P, Q, η)-reflexive matrices.

[BibT_eX]

[DOI]

Qian Wang

J. Comput. Appl. Math., 2010

An iterative algorithm for a least squares solution of a matrix equation.

[BibT_eX]

[DOI]

Yan Feng

Int. J. Comput. Math., 2010

Hermitian tridiagonal solution with the least norm to quaternionic least squares problem.

[BibT_eX]

[DOI]

Sitao Ling

Comput. Phys. Commun., 2010

Some new results for system decoupling and pole assignment problems.

[BibT_eX]

[DOI]

Qian Wang

Xuehan Cheng

Autom., 2010

2009

Solvability and sensitivity analysis of polynomial matrix equation Xs + ATXtA = Q.

[BibT_eX]

[DOI]

Appl. Math. Comput., 2009

2008

Perturbation analysis for the generalized Schur complement of a positive semi-definite matrix.

[BibT_eX]

[DOI]

Numer. Linear Algebra Appl., 2008

On growth factors of the modified Gram-Schmidt algorithm.

[BibT_eX]

[DOI]

Qiaohua Liu

Numer. Linear Algebra Appl., 2008

An iterative algorithm for least squares problem in quaternionic quantum theory.

[BibT_eX]

[DOI]

Yan Feng

Comput. Phys. Commun., 2008

2007

Iterative algorithms for solving the matrix equation AXB+CXTD=E.

[BibT_eX]

[DOI]

Xuehan Cheng

Appl. Math. Comput., 2007

Forward order law for g-inverses of the product of two matrices.

[BibT_eX]

[DOI]

Wenbin Guo

Jianli Zhao

Appl. Math. Comput., 2007

2005

Iterative methods based on polynomial interpolation filters to detect discontinuities and recover point values from Fourier data.

[BibT_eX]

[DOI]

IEEE Trans. Signal Process., 2005

2004

Error Estimates for Two Filters Based on Polynomial Interpolation for Recovering a Function from Its Fourier Coefficients.

[BibT_eX]

[DOI]

Numer. Algorithms, 2004

Rank equalities for submatrices in generalized inverse MT, S(2) of M.

[BibT_eX]

[DOI]

Yonghui Liu

Appl. Math. Comput., 2004

Rank equalities related to the generalized inverses AT, S(2), BT1, S1(2) of two matrices A and B.

[BibT_eX]

[DOI]

Yonghui Liu

Appl. Math. Comput., 2004

2003

Equality constrained least squares problem over quaternion field.

[BibT_eX]

[DOI]

Tongsong Jiang

Appl. Math. Lett., 2003

2002

Analysis for the reconstruction of a noisy signal based on orthogonal moments.

[BibT_eX]

[DOI]

Alvaro Rodolfo De Pierro

Appl. Math. Comput., 2002

2000

Upper Perturbation Bounds of Weighted Projections, Weighted and Constrained Least Squares Problems.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2000

1999

Reconstruction of a compactly supported function from the discrete sampling of its Fourier transform.

[BibT_eX]

[DOI]

IEEE Trans. Signal Process., 1999

1997

Equivalent formulae for the supremum and stability of weighted pseudoinverses.

[BibT_eX]

[DOI]

Math. Comput., 1997

1995

Relationships Between a Potential and Its Scattering Frequencies.

[BibT_eX]

[DOI]

George Majda

SIAM J. Appl. Math., 1995

1993

Numerical Computation of the Scattering Frequencies for a Cylindrically Symmetric Potential.

[BibT_eX]

[DOI]

George Majda

SIAM J. Sci. Comput., 1993

1992

The Analysis for the Total Least Squares Problem with More Than One Solution.

[BibT_eX]

[DOI]