# zbMATH — the first resource for mathematics

## Ye, Qiang

Compute Distance To:
 Author ID: ye.qiang Published as: Ye, Qiang; Ye, Q.
 Documents Indexed: 88 Publications since 1981, including 2 Books
all top 5

#### Co-Authors

 17 single-authored 7 Lancaster, Peter 6 Reichel, Lothar 6 Xue, Jungong 5 Du, Hongwei 5 Li, Rencang 4 Alfa, Attahiru Sule 4 Binding, Paul Anthony 3 Bell, David J. 3 Golub, Gene Howard 3 Najman, Branko 3 Shivakumar, Pappur N. 3 Williams, Joseph J. 3 Zhi, Weifeng 2 Bai, Zhaojun 2 Dailey, Megan 2 Dopico, Froilán M. 2 Lee, Wonjun 2 Liang, Qiao 2 Nath Datta, Biswa 2 Park, Haesun 2 Plemmons, Robert James 2 Tong, Charles H. 2 Wang, Yuexuan 2 Xia, Yi 1 Chan, Tony Fan-Cheong 1 Chen, Xiaohui 1 Ding, Wandi 1 Eissa, Mahmoud A. 1 Finotti, Heather 1 Gao, Qingwei 1 Gao, Xiangbo 1 Hoffnung, Leonard 1 Hong, Tianqiu 1 Ji, Chuanxiang 1 Lenhart, Suzanne M. 1 Li, Chi-Kwong 1 Liu, Chuang 1 Liu, Yaning 1 Lou, Yuan 1 Lu, Yixiang 1 Luo, Haiming 1 Marinov, Corneliu A. 1 Markus, Alexander S. 1 Money, James H. 1 Murrugarra, David 1 Quillen, Patrick 1 Sgallari, Fiorella 1 Sheng, Tianwen 1 Shkalikov, Andreĭ Andreevich 1 Sun, Jiguang 1 Van der Vorst, Henk Albertus 1 Willmott, Devin T. 1 Xu, Wen 1 Yao, Zhiming 1 Yi, Shuping 1 Zha, Hongyuan 1 Zhang, Dexiang 1 Zhong, Jiaofei 1 Zhong, Jioafei 1 Zhu, Ming-feng 1 Zhu, Rongrong
all top 5

#### Serials

 12 Linear Algebra and its Applications 8 SIAM Journal on Matrix Analysis and Applications 7 Mathematics of Computation 3 Numerische Mathematik 3 SIAM Journal on Scientific Computing 3 Numerical Linear Algebra with Applications 3 ETNA. Electronic Transactions on Numerical Analysis 2 Computer Methods in Applied Mechanics and Engineering 2 BIT 2 Integral Equations and Operator Theory 2 Journal of Computational and Applied Mathematics 2 Theoretical Computer Science 2 Mathematica Numerica Sinica 2 Numerical Algorithms 2 Computational & Mathematical Methods in Medicine 1 Bulletin of the Australian Mathematical Society 1 International Journal of Systems Science 1 ACM Transactions on Mathematical Software 1 Applied Mathematics and Computation 1 Journal of Approximation Theory 1 Journal of the Korean Mathematical Society 1 Japanese Journal of Mathematics. New Series 1 Numerical Functional Analysis and Optimization 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Numerical Analysis 1 Journal of Computational Mathematics 1 Applied Numerical Mathematics 1 Communications in Statistics. Stochastic Models 1 Queueing Systems 1 Japan Journal of Industrial and Applied Mathematics 1 YUJOR. Yugoslav Journal of Operations Research 1 Aequationes Mathematicae 1 SIAM Journal on Mathematical Analysis 1 Engineering Analysis with Boundary Elements 1 The Asian Journal of Mathematics 1 Nonlinear Analysis. Real World Applications 1 Stochastic Models 1 Journal of University of Science and Technology of China 1 Communications in Mathematical Sciences 1 Numerical Algebra, Control and Optimization 1 Communications in Mathematics and Statistics 1 Computational and Mathematical Biophysics
all top 5

#### Fields

 55 Numerical analysis (65-XX) 30 Linear and multilinear algebra; matrix theory (15-XX) 7 Probability theory and stochastic processes (60-XX) 6 Computer science (68-XX) 6 Operations research, mathematical programming (90-XX) 5 Operator theory (47-XX) 4 Fluid mechanics (76-XX) 4 Biology and other natural sciences (92-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 General and overarching topics; collections (00-XX) 2 Algebraic geometry (14-XX) 2 Ordinary differential equations (34-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Statistics (62-XX) 1 Geophysics (86-XX)

#### Citations contained in zbMATH Open

65 Publications have been cited 636 times in 449 Documents Cited by Year
An inverse free preconditioned Krylov subspace method for symmetric generalized eigenvalue problems. Zbl 1016.65017
Golub, Gene H.; Ye, Qiang
2002
ABLE: An adaptive block Lanczos method for non-Hermitian eigenvalue problems. Zbl 0932.65045
Bai, Zhaojun; Day, David; Ye, Qiang
1999
Inexact preconditioned conjugate gradient method with inner-outer iteration. Zbl 0955.65022
Golub, Gene H.; Ye, Qiang
2000
On two-sided bounds related to weakly diagonally dominant $$M$$-matrices with application to digital circuit dynamics. Zbl 0853.15013
Shivakumar, P. N.; Williams, Joseph J.; Ye, Qiang; Marinov, Corneliu A.
1996
Simple square smoothing regularization operators. Zbl 1171.65033
Reichel, Lothar; Ye, Qiang
2009
Accurate computation of the smallest eigenvalue of a diagonally dominant $$M$$-matrix. Zbl 0984.65033
Alfa, Attahiru Sule; Xue, Jungong; Ye, Qiang
2002
Breakdown-free GMRES for singular systems. Zbl 1086.65030
Reichel, Lothar; Ye, Qiang
2005
Tikhonov regularization based on generalized Krylov subspace methods. Zbl 1246.65068
Reichel, Lothar; Sgallari, Fiorella; Ye, Qiang
2012
Entrywise perturbation theory for diagonally dominant M-matrices with applications. Zbl 1022.15020
Alfa, Attahiru Sule; Xue, Jungong; Ye, Qiang
2002
Inexact inverse iteration for generalized eigenvalue problems. Zbl 0984.65032
Golub, Gene H.; Ye, Qiang
2000
Optimal control of growth coefficient on a steady-state population model. Zbl 1182.49036
Ding, W.; Finotti, H.; Lenhart, S.; Lou, Y.; Ye, Q.
2010
Strongly definitizable linear pencils in Hilbert space. Zbl 0794.47009
Lancaster, P.; Shkalikov, A.; Ye, Qiang
1993
A Krylov subspace method for quadratic matrix polynomials with application to constrained least squares problems. Zbl 1050.65038
Li, Ren-Cang; Ye, Qiang
2003
On Gorenstein log del Pezzo surfaces. Zbl 1053.14044
Ye, Qiang
2002
Error estimation on the Padé approximation of transfer functions via the Lanczos process. Zbl 0913.41013
Bai, Zhaojun; Ye, Qiang
1998
Residual replacement strategies for Krylov subspace iterative methods for the convergence of true residuals. Zbl 0983.65039
van der Vorst, Henk A.; Ye, Qiang
2000
Krylov type subspace methods for matrix polynomials. Zbl 1104.65032
Hoffnung, Leonard; Li, Ren-Cang; Ye, Qiang
2006
An adaptive block Lanczos algorithm. Zbl 0859.65032
Ye, Qiang
1996
A breakdown-free variation of the nonsymmetric Lanczos algorithms. Zbl 0796.65046
Ye, Qiang
1994
Computing singular values of diagonally dominant matrices to high relative accuracy. Zbl 1198.65077
Ye, Qiang
2008
Perturbation theory for the asymptotic decay rates in the queues with Markovian arrival process and/or Markovian service process. Zbl 0969.60096
Alfa, Attahiru Sule; Xue, Jungong; Ye, Qiang
2000
A new perturbation bound for the LDU factorization of diagonally dominant matrices. Zbl 1306.65179
Dailey, Megan; Dopico, Froilán M.; Ye, Qiang
2014
Definitizable Hermitian matrix pencils. Zbl 0789.15009
Lancaster, Peter; Ye, Qiang
1993
Low rank perturbations of strongly definitizable transformations and matrix polynomials. Zbl 0793.15002
Lancaster, Peter; Markus, Alexander S.; Ye, Qiang
1994
Relative perturbation bounds for eigenvalues of symmetric positive definite diagonally dominant matrices. Zbl 1189.15026
Ye, Qiang
2009
A convergence analysis for nonsymmetric Lanczos algorithms. Zbl 0780.65025
Ye, Qiang
1991
Algorithm 845: EIGIFP: A MATLAB program for solving large symmetric generalized eigenvalue problems. Zbl 1070.65531
Money, James H.; Ye, Qiang
2005
Inverse spectral problems for linear and quadratic matrix pencils. Zbl 0657.15010
Lancaster, Peter; Ye, Qiang
1988
Error bounds for the Lanczos methods for approximating matrix exponentials. Zbl 1276.65027
Ye, Qiang
2013
Computing singular values of large matrices with an inverse-free preconditioned Krylov subspace method. Zbl 1312.65061
Liang, Qiao; Ye, Qiang
2014
Variational principles for indefinite eigenvalue problems. Zbl 0821.15005
Binding, Paul; Ye, Qiang
1995
Relative perturbation theory for diagonally dominant matrices. Zbl 1317.15019
Dailey, Megan; Dopico, Froilán M.; Ye, Qiang
2014
Variational and numerical methods for symmetric matrix pencils. Zbl 0714.65042
Lancaster, Peter; Ye, Qiang
1991
A minimax characterization for eigenvalues of Hermitian pencils. Zbl 0721.15009
Najman, B.; Ye, Q.
1991
A block inverse-free preconditioned Krylov subspace method for symmetric generalized eigenvalue problems. Zbl 1186.65044
Quillen, Patrick; Ye, Qiang
2010
Variational properties and Rayleigh quotient algorithms for symmetric matrix pencils. Zbl 0676.15007
Lancaster, Peter; Ye, Qiang
1989
Variational principles without definiteness conditions. Zbl 0743.49020
Binding, Paul; Ye, Qiang
1991
Analysis of the finite precision bi-conjugate gradient algorithm for nonsymmetric linear systems. Zbl 0953.65017
Tong, Charles H.; Ye, Qiang
2000
The unsolvability of inverse algebraic eigenvalue problems almost everywhere. Zbl 0595.15007
Sun, Jiguang; Ye, Qiang
1986
A variational principle for eigenvalues of pencils of Hermitian matrices. Zbl 0971.47008
Binding, Paul; Najman, Branko; Ye, Qiang
1999
On Latouche-Ramaswami’s logarithmic reduction algorithm for quasi-birth-and-death processes. Zbl 1019.60083
Ye, Qiang
2002
Error bounds for the Krylov subspace methods for computations of matrix exponentials. Zbl 1365.65136
Wang, Hao; Ye, Qiang
2017
Inexact inverse subspace iteration for generalized eigenvalue problems. Zbl 1215.65069
Ye, Qiang; Zhang, Ping
2011
Computing exponentials of essentially non-negative matrices entrywise to high relative accuracy. Zbl 1279.65051
Xue, Jungong; Ye, Qiang
2013
Eigenvalues of an alignment matrix in nonlinear manifold learning. Zbl 1135.65019
Li, Chi-Kwong; Li, Ren-Cang; Ye, Qiang
2007
A generalized LSQR algorithm. Zbl 1212.65170
Reichel, L.; Ye, Q.
2008
Analysis of an alignment algorithm for nonlinear dimensionality reduction. Zbl 1129.62062
Ye, Qiang; Zha, Hongyuan; Li, Ren-Cang
2007
An analysis of groundwater flow in an infinite region with a sinusoidal top. Zbl 0971.76069
Shivakumar, P. N.; Williams, Joseph J.; Ye, Qiang; Ji, Chuanxiang
2000
On close eigenvalues of tridiagonal matrices. Zbl 0824.65019
Ye, Qiang
1995
An iterated shift-and-invert Arnoldi algorithm for quadratic matrix eigenvalue problems. Zbl 1095.65034
Ye, Qiang
2006
A minimax characterization for eigenvalues of Hermitian pencils. II. Zbl 0786.15015
Najman, B.; Ye, Q.
1993
Entrywise relative perturbation bounds for exponentials of essentially non-negative matrices. Zbl 1163.65021
Xue, Jungong; Ye, Qiang
2008
A linear system solver based on a modified Krylov subspace method for breakdown recovery. Zbl 0858.65034
Tong, Charles H.; Ye, Qiang
1996
Interference-free $$k$$-barrier coverage in wireless sensor networks. Zbl 1358.68025
Du, Hongwei; Luo, Haiming; Zhang, Jing; Zhu, Rongrong; Ye, Qiang
2014
Simultaneous similarity reductions for a pair of matrices to condensed forms. Zbl 1312.65071
Li, Ren-Cang; Ye, Qiang
2014
Optimal expansion of subspaces for eigenvector approximations. Zbl 1142.65039
Ye, Qiang
2008
The unsolvability of inverse eigenvalue problems for a Hermitian matrix almost everywhere. Zbl 0639.15002
Ye, Qiang
1987
Rayleigh-Ritz and Lanczos methods for symmetric matrix pencils. Zbl 0771.65017
Lancaster, Peter; Ye, Qiang
1993
Polynomial-time approximation scheme for minimum connected dominating set under routing cost constraint in wireless sensor networks. Zbl 1243.68054
Du, Hongwei; Ye, Qiang; Zhong, Jiaofei; Wang, Yuexuan; Lee, Wonjun; Park, Haesun
2012
PTAS for minimum connected dominating set with routing cost constraint in wireless sensor networks. Zbl 1311.90162
Du, Hongwei; Ye, Qiang; Zhong, Jioafei; Wang, Yuexuan; Lee, Wonjun; Park, Haesun
2010
Bounds for the width of the instability intervals in the Mathieu equation. Zbl 0876.34031
Shivakumar, P. N.; Ye, Qiang
1996
Eigenvalue bounds for an alignment matrix in manifold learning. Zbl 1246.15023
Ye, Qiang; Zhi, Weifeng
2012
A perturbation method for sub-optimal feedback control of bilinear systems. Zbl 0473.93033
Bell, D. J.; Ye, Q.
1981
Infinite matrices bounded on weighted $$\ell^1$$ spaces. Zbl 1281.15022
Williams, Joseph J.; Ye, Qiang
2013
Discrete Hessian eigenmaps method for dimensionality reduction. Zbl 1304.65110
Ye, Qiang; Zhi, Weifeng
2015
Error bounds for the Krylov subspace methods for computations of matrix exponentials. Zbl 1365.65136
Wang, Hao; Ye, Qiang
2017
Discrete Hessian eigenmaps method for dimensionality reduction. Zbl 1304.65110
Ye, Qiang; Zhi, Weifeng
2015
A new perturbation bound for the LDU factorization of diagonally dominant matrices. Zbl 1306.65179
Dailey, Megan; Dopico, Froilán M.; Ye, Qiang
2014
Computing singular values of large matrices with an inverse-free preconditioned Krylov subspace method. Zbl 1312.65061
Liang, Qiao; Ye, Qiang
2014
Relative perturbation theory for diagonally dominant matrices. Zbl 1317.15019
Dailey, Megan; Dopico, Froilán M.; Ye, Qiang
2014
Interference-free $$k$$-barrier coverage in wireless sensor networks. Zbl 1358.68025
Du, Hongwei; Luo, Haiming; Zhang, Jing; Zhu, Rongrong; Ye, Qiang
2014
Simultaneous similarity reductions for a pair of matrices to condensed forms. Zbl 1312.65071
Li, Ren-Cang; Ye, Qiang
2014
Error bounds for the Lanczos methods for approximating matrix exponentials. Zbl 1276.65027
Ye, Qiang
2013
Computing exponentials of essentially non-negative matrices entrywise to high relative accuracy. Zbl 1279.65051
Xue, Jungong; Ye, Qiang
2013
Infinite matrices bounded on weighted $$\ell^1$$ spaces. Zbl 1281.15022
Williams, Joseph J.; Ye, Qiang
2013
Tikhonov regularization based on generalized Krylov subspace methods. Zbl 1246.65068
Reichel, Lothar; Sgallari, Fiorella; Ye, Qiang
2012
Polynomial-time approximation scheme for minimum connected dominating set under routing cost constraint in wireless sensor networks. Zbl 1243.68054
Du, Hongwei; Ye, Qiang; Zhong, Jiaofei; Wang, Yuexuan; Lee, Wonjun; Park, Haesun
2012
Eigenvalue bounds for an alignment matrix in manifold learning. Zbl 1246.15023
Ye, Qiang; Zhi, Weifeng
2012
Inexact inverse subspace iteration for generalized eigenvalue problems. Zbl 1215.65069
Ye, Qiang; Zhang, Ping
2011
Optimal control of growth coefficient on a steady-state population model. Zbl 1182.49036
Ding, W.; Finotti, H.; Lenhart, S.; Lou, Y.; Ye, Q.
2010
A block inverse-free preconditioned Krylov subspace method for symmetric generalized eigenvalue problems. Zbl 1186.65044
Quillen, Patrick; Ye, Qiang
2010
PTAS for minimum connected dominating set with routing cost constraint in wireless sensor networks. Zbl 1311.90162
Du, Hongwei; Ye, Qiang; Zhong, Jioafei; Wang, Yuexuan; Lee, Wonjun; Park, Haesun
2010
Simple square smoothing regularization operators. Zbl 1171.65033
Reichel, Lothar; Ye, Qiang
2009
Relative perturbation bounds for eigenvalues of symmetric positive definite diagonally dominant matrices. Zbl 1189.15026
Ye, Qiang
2009
Computing singular values of diagonally dominant matrices to high relative accuracy. Zbl 1198.65077
Ye, Qiang
2008
A generalized LSQR algorithm. Zbl 1212.65170
Reichel, L.; Ye, Q.
2008
Entrywise relative perturbation bounds for exponentials of essentially non-negative matrices. Zbl 1163.65021
Xue, Jungong; Ye, Qiang
2008
Optimal expansion of subspaces for eigenvector approximations. Zbl 1142.65039
Ye, Qiang
2008
Eigenvalues of an alignment matrix in nonlinear manifold learning. Zbl 1135.65019
Li, Chi-Kwong; Li, Ren-Cang; Ye, Qiang
2007
Analysis of an alignment algorithm for nonlinear dimensionality reduction. Zbl 1129.62062
Ye, Qiang; Zha, Hongyuan; Li, Ren-Cang
2007
Krylov type subspace methods for matrix polynomials. Zbl 1104.65032
Hoffnung, Leonard; Li, Ren-Cang; Ye, Qiang
2006
An iterated shift-and-invert Arnoldi algorithm for quadratic matrix eigenvalue problems. Zbl 1095.65034
Ye, Qiang
2006
Breakdown-free GMRES for singular systems. Zbl 1086.65030
Reichel, Lothar; Ye, Qiang
2005
Algorithm 845: EIGIFP: A MATLAB program for solving large symmetric generalized eigenvalue problems. Zbl 1070.65531
Money, James H.; Ye, Qiang
2005
A Krylov subspace method for quadratic matrix polynomials with application to constrained least squares problems. Zbl 1050.65038
Li, Ren-Cang; Ye, Qiang
2003
An inverse free preconditioned Krylov subspace method for symmetric generalized eigenvalue problems. Zbl 1016.65017
Golub, Gene H.; Ye, Qiang
2002
Accurate computation of the smallest eigenvalue of a diagonally dominant $$M$$-matrix. Zbl 0984.65033
Alfa, Attahiru Sule; Xue, Jungong; Ye, Qiang
2002
Entrywise perturbation theory for diagonally dominant M-matrices with applications. Zbl 1022.15020
Alfa, Attahiru Sule; Xue, Jungong; Ye, Qiang
2002
On Gorenstein log del Pezzo surfaces. Zbl 1053.14044
Ye, Qiang
2002
On Latouche-Ramaswami’s logarithmic reduction algorithm for quasi-birth-and-death processes. Zbl 1019.60083
Ye, Qiang
2002
Inexact preconditioned conjugate gradient method with inner-outer iteration. Zbl 0955.65022
Golub, Gene H.; Ye, Qiang
2000
Inexact inverse iteration for generalized eigenvalue problems. Zbl 0984.65032
Golub, Gene H.; Ye, Qiang
2000
Residual replacement strategies for Krylov subspace iterative methods for the convergence of true residuals. Zbl 0983.65039
van der Vorst, Henk A.; Ye, Qiang
2000
Perturbation theory for the asymptotic decay rates in the queues with Markovian arrival process and/or Markovian service process. Zbl 0969.60096
Alfa, Attahiru Sule; Xue, Jungong; Ye, Qiang
2000
Analysis of the finite precision bi-conjugate gradient algorithm for nonsymmetric linear systems. Zbl 0953.65017
Tong, Charles H.; Ye, Qiang
2000
An analysis of groundwater flow in an infinite region with a sinusoidal top. Zbl 0971.76069
Shivakumar, P. N.; Williams, Joseph J.; Ye, Qiang; Ji, Chuanxiang
2000
ABLE: An adaptive block Lanczos method for non-Hermitian eigenvalue problems. Zbl 0932.65045
Bai, Zhaojun; Day, David; Ye, Qiang
1999
A variational principle for eigenvalues of pencils of Hermitian matrices. Zbl 0971.47008
Binding, Paul; Najman, Branko; Ye, Qiang
1999
Error estimation on the Padé approximation of transfer functions via the Lanczos process. Zbl 0913.41013
Bai, Zhaojun; Ye, Qiang
1998
On two-sided bounds related to weakly diagonally dominant $$M$$-matrices with application to digital circuit dynamics. Zbl 0853.15013
Shivakumar, P. N.; Williams, Joseph J.; Ye, Qiang; Marinov, Corneliu A.
1996
An adaptive block Lanczos algorithm. Zbl 0859.65032
Ye, Qiang
1996
A linear system solver based on a modified Krylov subspace method for breakdown recovery. Zbl 0858.65034
Tong, Charles H.; Ye, Qiang
1996
Bounds for the width of the instability intervals in the Mathieu equation. Zbl 0876.34031
Shivakumar, P. N.; Ye, Qiang
1996
Variational principles for indefinite eigenvalue problems. Zbl 0821.15005
Binding, Paul; Ye, Qiang
1995
On close eigenvalues of tridiagonal matrices. Zbl 0824.65019
Ye, Qiang
1995
A breakdown-free variation of the nonsymmetric Lanczos algorithms. Zbl 0796.65046
Ye, Qiang
1994
Low rank perturbations of strongly definitizable transformations and matrix polynomials. Zbl 0793.15002
Lancaster, Peter; Markus, Alexander S.; Ye, Qiang
1994
Strongly definitizable linear pencils in Hilbert space. Zbl 0794.47009
Lancaster, P.; Shkalikov, A.; Ye, Qiang
1993
Definitizable Hermitian matrix pencils. Zbl 0789.15009
Lancaster, Peter; Ye, Qiang
1993
A minimax characterization for eigenvalues of Hermitian pencils. II. Zbl 0786.15015
Najman, B.; Ye, Q.
1993
Rayleigh-Ritz and Lanczos methods for symmetric matrix pencils. Zbl 0771.65017
Lancaster, Peter; Ye, Qiang
1993
A convergence analysis for nonsymmetric Lanczos algorithms. Zbl 0780.65025
Ye, Qiang
1991
Variational and numerical methods for symmetric matrix pencils. Zbl 0714.65042
Lancaster, Peter; Ye, Qiang
1991
A minimax characterization for eigenvalues of Hermitian pencils. Zbl 0721.15009
Najman, B.; Ye, Q.
1991
Variational principles without definiteness conditions. Zbl 0743.49020
Binding, Paul; Ye, Qiang
1991
Variational properties and Rayleigh quotient algorithms for symmetric matrix pencils. Zbl 0676.15007
Lancaster, Peter; Ye, Qiang
1989
Inverse spectral problems for linear and quadratic matrix pencils. Zbl 0657.15010
Lancaster, Peter; Ye, Qiang
1988
The unsolvability of inverse eigenvalue problems for a Hermitian matrix almost everywhere. Zbl 0639.15002
Ye, Qiang
1987
The unsolvability of inverse algebraic eigenvalue problems almost everywhere. Zbl 0595.15007
Sun, Jiguang; Ye, Qiang
1986
A perturbation method for sub-optimal feedback control of bilinear systems. Zbl 0473.93033
Bell, D. J.; Ye, Q.
1981
all top 5

#### Cited by 610 Authors

 44 Reichel, Lothar 33 Ye, Qiang 16 Li, Rencang 11 Huang, Rong 10 Lancaster, Peter 9 Miao, Cun-Qiang 8 Xue, Jungong 7 Huang, Ting-Zhu 7 Jbilou, Khalide 7 Sadok, Hassane 6 Bai, Zhongzhi 6 Benzi, Michele 6 Li, Chaoqian 6 Noschese, Silvia 6 Sgallari, Fiorella 6 Wei, Yimin 5 Chaudhry, Mohan L. 5 Lin, Wen-Wei 5 Morigi, Serena 5 Peña, Juan Manuel 5 Stathopoulos, Andreas 5 Vladimirov, Anton A. 4 Banik, Abhijit Datta 4 Binding, Paul Anthony 4 Carson, Erin Claire 4 Dai, Hua 4 Hochstenbach, Michiel E. 4 Huang, Guang-Xin 4 Jia, Zhongxiao 4 Koev, Plamen 4 Lu, Linzhang 4 Markus, Alexander S. 4 Samanta, Sujit Kumar 4 Shkalikov, Andreĭ Andreevich 4 Simoncini, Valeria 3 Alqahtani, Hessah 3 Baglama, James 3 Bai, Zhaojun 3 Barkouki, Houda 3 Bentbib, Abdeslem Hafid 3 Demmel, James Weldon 3 Donatelli, Marco 3 Dopico, Froilán M. 3 Du, Hongwei 3 Dykes, Laura 3 Freitag, Melina A. 3 Golub, Gene Howard 3 Gupta, Umesh Chandra 3 Gutknecht, Martin H. 3 Krupnik, Ilya 3 Li, Houbiao 3 Li, Yaotang 3 Ma, Changfeng 3 Najman, Branko 3 Neuman, Arthur 3 Niu, Qiang 3 Rodriguez, Giuseppe 3 Saad, Yousef 3 Spence, Alastair 3 Sun, Deshu 3 Szyld, Daniel B. 3 Vecharynski, Eugene 3 Viloche Bazán, Fermín S. 3 Voss, Heinrich 3 Wang, Feng 3 Wu, Gang 3 Wu, Lingfei 3 Xu, Shufang 3 Xue, Fei 3 Yin, Feng 3 Zhang, Lei-Hong 3 Zhao, Jianxing 3 Zhi, Weifeng 3 Zizler, Peter 2 Agullo, Emmanuel 2 Aihara, Kensuke 2 Ascher, Uri M. 2 Azimzadeh, Parsiad 2 Bao, Liang 2 Boley, Daniel L. 2 Borges, Leonardo S. 2 Brezinski, Claude 2 Burstedde, Carsten 2 Chen, Xiaoping 2 Chen, Xiaoshan 2 Chu, Delin 2 Chu, Moody T. 2 Chung, Julianne M. 2 Cools, Siegfried 2 Cui, Tiangang 2 Dendievel, Sarah 2 Elman, Howard C. 2 Fenu, Caterina 2 Ferng, William R. 2 Freund, Roland W. 2 Gazzola, Silvia 2 Giraud, Luc 2 Gu, Chuanqing 2 Han, Xiaoling 2 Heyouni, Mohammed ...and 510 more Authors
all top 5

#### Cited in 113 Serials

 70 Linear Algebra and its Applications 41 Journal of Computational and Applied Mathematics 30 Numerical Algorithms 24 SIAM Journal on Scientific Computing 22 BIT 17 Applied Numerical Mathematics 15 Journal of Scientific Computing 14 Numerical Linear Algebra with Applications 13 Numerische Mathematik 13 SIAM Journal on Matrix Analysis and Applications 11 Mathematics of Computation 10 Applied Mathematics and Computation 7 Mathematical Notes 6 Computers & Mathematics with Applications 6 Linear and Multilinear Algebra 5 Science China. Mathematics 4 Computer Methods in Applied Mechanics and Engineering 4 Integral Equations and Operator Theory 4 Theoretical Computer Science 4 Japan Journal of Industrial and Applied Mathematics 4 Computational and Applied Mathematics 4 Journal of Inequalities and Applications 3 Calcolo 3 International Journal of Computer Mathematics 3 Computational Optimization and Applications 3 Mathematical Problems in Engineering 3 Methodology and Computing in Applied Probability 3 Acta Numerica 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 East Asian Journal on Applied Mathematics 2 Journal of Computational Physics 2 Functional Analysis and its Applications 2 Numerical Functional Analysis and Optimization 2 Opsearch 2 Applied Mathematics Letters 2 Annals of Operations Research 2 Applied Mathematical Modelling 2 Computational Methods in Applied Mathematics 2 SIAM Journal on Imaging Sciences 1 Bulletin of the Australian Mathematical Society 1 Computers and Fluids 1 International Journal of Control 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Arkiv för Matematik 1 International Journal for Numerical Methods in Engineering 1 Journal of Algebra 1 Journal of Differential Equations 1 Journal of the Mathematical Society of Japan 1 Journal of Multivariate Analysis 1 Journal of Optimization Theory and Applications 1 Manuscripta Mathematica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Transactions of the American Mathematical Society 1 Operations Research Letters 1 Journal of Economic Dynamics & Control 1 Mathematical and Computer Modelling 1 Journal of Integral Equations and Applications 1 International Journal of Mathematics 1 The Journal of Geometric Analysis 1 Journal of Global Optimization 1 Discrete Event Dynamic Systems 1 Aequationes Mathematicae 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Pattern Recognition 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Computational Statistics and Data Analysis 1 SIAM Journal on Optimization 1 Applied Mathematics. Series B (English Edition) 1 Communications in Numerical Methods in Engineering 1 Applicationes Mathematicae 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal 1 ETNA. Electronic Transactions on Numerical Analysis 1 Top 1 Advances in Computational Mathematics 1 ELA. The Electronic Journal of Linear Algebra 1 Journal of Applied Analysis 1 European Journal of Control 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Abstract and Applied Analysis 1 Journal of Combinatorial Optimization 1 International Journal of Applied Mathematics and Computer Science 1 Probability in the Engineering and Informational Sciences 1 Optimization and Engineering 1 Advances in Geometry 1 Journal of Applied Mathematics 1 Stochastic Models 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Journal of Machine Learning Research (JMLR) 1 Journal of Applied Mathematics and Computing 1 4OR 1 Internet Mathematics 1 Advances in Difference Equations 1 Journal of Industrial and Management Optimization 1 Complex Analysis and Operator Theory 1 Networks and Heterogeneous Media 1 Advances in Numerical Analysis 1 Mathematical Programming Computation ...and 13 more Serials
all top 5

#### Cited in 33 Fields

 324 Numerical analysis (65-XX) 150 Linear and multilinear algebra; matrix theory (15-XX) 31 Operations research, mathematical programming (90-XX) 25 Partial differential equations (35-XX) 20 Probability theory and stochastic processes (60-XX) 20 Computer science (68-XX) 19 Operator theory (47-XX) 14 Ordinary differential equations (34-XX) 14 Systems theory; control (93-XX) 13 Algebraic geometry (14-XX) 9 Information and communication theory, circuits (94-XX) 8 Combinatorics (05-XX) 8 Fluid mechanics (76-XX) 6 Approximations and expansions (41-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Statistics (62-XX) 5 Functional analysis (46-XX) 5 Mechanics of deformable solids (74-XX) 3 Integral equations (45-XX) 3 Mechanics of particles and systems (70-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX)