**Dr
Delin Chu**

**-----------------------------------------------------------------------------------------------------------------------------------------------------**

Department of Mathematics

National University of Singapore

Singapore

Email: matchudl@nus.edu.sg

Tel: 65-65166912

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**Editorial boards:**

** Automatica-Elsevier,
2008--**

** Advances in
Numerical Analysis-Hindawi, 2008--**

**
Journal of Computational and Applied Mathematics-Elsevier, May 2011--**

** **

Major
Area of Research:

Numerical Linear Algebra and Its Applications

Research Interests

Numerical Linear Algebra and Its Applications,

Matrix Theory and Computations,

Scientific Computing and Numerical Analysis.

**Selected Publication:**

[1] H. Zhu, X.W. Zhang, Delin Chu, and
L. Liao. Nonconvex and nonsmooth optimization with
generalized orthogonality constraints: An approximate augmented Lagrangian method, Journal of Scientific Computing, 72, No.
1 (2017):331-372.

[2] R. Huang and Delin Chu.
Computing singular value decompositions of parameterized matrices with total nonpositivity to high relative accuracy, Journal of Scientific
Computing, 71, No. 2 (2017):682-711.

[3] J. Qian, Delin Chu, R. C.E. Tan.
A systematic analysis on analyticity of semisimple eigenvalues of matrix-valued functions, SIAM Journal
on Matrix Analysis and Applications, 37, No. 4 (2016):1581-1599.

[4] X.W. Zhang, {Delin Chu}, and R. C.E.
Tan. Sparse uncorrelated linear discriminant analysis for undersampled
problems, IEEE Transactions on Neural Networks and Learning Systems, 27, No.7
(2016):1469--1485.

[5] X. W. Zhang, L. Cheng, Delin
Chu, L. Liao, M. Ng and R. C.E. Tan. Incremental regularized least Squares for dimensionality
reduction of large-scale data.

SIAM Journal on Scientific
Computing, 38, No.3 (2016):B414--B439.

[6] J. Qian, Delin Chu, R. C.E. Tan.
Analyticity of semisimple eigenvalues and corresponding
eigenvectors of matrix-valued functions, SIAM Journal on Matrix Analysis and
Applications, 36,
No.4 (2015):1542--1566.

[7] Delin Chu, L. Liao, M. Ng and X.Y.Wang. Incremental linear discriminant analysis: A new
algorithm and comparisons, IEEE Transactions on Neural Networks and Learning
Systems, 26, No.11 (2015):2716--2735.

[8] R. Huang and Delin Chu. Relative perturbation analysis for eigenvalues
and singular values of totally nonpositive matrices.
SIAM Journal on Matrix Analysis and Applications, 36, No.2 (2015):476--495.

[9] T. Li and Delin Chu, A structure-preserving
algorithm for semi-stabilizing solutions of generalized algebraic Riccati equations. Electronic Transactions on Numerical
Analysis, 41 (2014):396--419.

[10] Q.H. Chen, Delin Chu and R. C. E.
Tan, Double obstacle control problem for quasilinear elliptic variational inequality with source term, Nonlinear
Analysis: Real World Applications, 18 (2014):108--120.

[11] Delin Chu, L. Liao, M. Ng and X.W.
Zhang. Sparse canonical correlation analysis: New formulation and algorithm,
IEEE Transactions on Pattern Analysis and Machine Intelligence,

35, No.12 (2013):3050-3065.

[12] J. Yang, Delin Chu, L. Zhang, Y.
Xu and J.Yu Yang. Sparse representation classifier steered
discriminative projection with applications to face recognition, IEEE Transactions
on Neural Networks and Learning Systems, 24, No. 7 (2013):1023-1035.

[13] J. Qian, A. L. Andrew, Delin Chu,
and R. C.E. Tan. Computing derivatives of repeated eigenvalues and corresponding
eigenvectors of quadratic eigenvalue problems. SIAM Journal on Matrix Analysis
and Applications, 34, No.3 (2013):1089--1111.

[14] Delin Chu, L. Liao and M. Ng. Sparse
orthogonal linear discriminant analysis, SIAM Journal on Scientific Computing,
34, No.5 (2012):A2421--A2443.

[15] Delin Chu, and Y.S. Hung. A numerical
design of interactors for general descriptor systems,

IEEE Transactions on Automatic Control,
57, No.9 (2012):2396--2399.

[16] W. Ching,
Delin Chu, L. Liao and X. Wang. Regularized
orthogonal linear discriminant analysis, Pattern Recognition, 45, No.7
(2012):2719--2732.

[17] Delin Chu, Goh Siong Thye and Y.S. Hung. Characterization
of all solutions for undersampled uncorrelated linear
discriminant analysis problems. SIAM Journal on Matrix Analysis and
Applications, 32, No.3 (2011):820--844.

[18] Q.H. Chen, Delin Chu and R. C. E.
Tan, Pontryagin's principle for state-constrained evolutionary
differential complementarity system. Nonlinear Analysis: Real World
Applications, 12, No.3 (2011):1459--1474.

[19] Delin Chu, L. Lin, R. C. E. Tan
and Y. Wei. Condition numbers and perturbation analysis for Tikhonov regularization
of discrete ill-posed problems. Numerical Linear Algebra with Applications, 18,
No.1 (2011):87–-103.

[20] Delin Chu and
Goh Siong
Thye. A new and fast orthogonal linear discriminant analysis
on undersampled problems. SIAM Journal on Scientific
Computing. 32, No.4 (2010):2274-2297.

[21] Delin Chu and
Goh Siong
Thye. A new and fast implementation for null space
based linear discriminant analysis. Pattern Recognition, 43, No.4
(2010):1373--1379.

[22] R. Huang and Delin Chu. Total nonpositivity of nonsingular matrices. Linear Algebra and Its
Applications, 432, No.11 (2010):2931-2941.

[23] Delin Chu, Y.S. Hung and Hugo J.
Woerdeman, Inertia and rank characterizations of some
matrix expressions. SIAM Journal on Matrix Analysis and Applications, 31, No.3
(2009):1187--1226.

[24] Delin Chu, M.T. Chu and W.-W. Lin, Quadratic model
updating with symmetry, positive definiteness, and no spill-over. SIAM Journal
on Matrix Analysis and Applications, 31, No.2 (2009):546--564.

[25] Delin Chu, M. Malabre and R. C. E. Tan, State feedback decoupling problem with stability
for $(A,B,C,D)$ quadruples. SIAM Journal on Matrix Analysis and Applications,
30, No.4 (2009):1735--1760.

[26] Delin Chu, Yuzo
Ohta and D.D. Siljak, Inclusion
principle for descriptor systems (Regular Paper). IEEE Transactions on Automatic
Control, 54, No.1 (2009):3--18.

[27] Delin Chu and R. C. E. Tan. Algebraic
characterizations for positive realness of descriptor systems. SIAM Journal on
Matrix Analysis and Applications, 30, No.1 (2008):197--222.

[28] Delin Chu and R. C. E. Tan. The
extended $J$-spectral factorization for descriptor systems (Regular Paper). Automatica,
44, No.3 (2008):585--597.

[29] Q.H. Chen, Delin Chu and R. C. E.
Tan. Bilateral obstacle control problem of parabolic variational
inequalities. SIAM Journal on Control and Optimization, 46, No.4 (2007):1518--1537.

[30] Z. J. Bai, Delin Chu and D. F. Sun,
A dual optimization approach to inverse quadratic eigenvalue problems with partial
eigenstructure. SIAM Journal on Scientific Computing},
29, No.6 (2007):2531--2561.

[31] Z. J. Bai, Delin Chu and R. C. E.
Tan, Computing the nearest doubly stochastic matrix with a prescribed entry. SIAM
Journal on Scientific Computing, 29, No.2 (2007):635--655.

[32] Delin Chu, X. Liu and V. Mehrmann, A numerical method for computing the Hamiltonian Schur form. Numerische Mathematik, 105, No.3 (2007):375--412.

[33] Delin Chu, and Gene H. Golub, On a generalized eigenvalue problem for nonsquare
pencils.

SIAM Journal on Matrix Analysis and Applications,
28, No.3 (2006):770--787.

[34] Delin Chu, and Y.S. Hung, A matrix
pencil approach to the row by row decoupling problem for descriptor systems.
SIAM Journal on Matrix Analysis and Applications, 28, No.3 (2006):682--702.

[35] Delin Chu, W.-W. Lin and R. C. E.
Tan, A numerical method for a generalized algebraic Riccati
equation. SIAM Journal on Control and Optimization, 45, No.4 (2006):1222--1250.

[36] Delin Chu and P. Van Dooren, A novel method for exact model matching problem with
stability. Automatica, 42, No.10 (2006):1697--1704.

[37] Delin Chu and M. T. Chu, Low
rank update of singular values. Mathematics of Computation, 75, No.255 (2006):1351--1366.

[38] Delin Chu and M. T. Chu, Reachable
matrices by a QR step with shift. SIAM Journal on Applied Dynamical Systems, 5,
No.1 (2006):91--107.

[39] Delin Chu and D. D. Siljak, A canonical form for the inclusion principle of dynamic
systems. SIAM Journal on Control and Optimization, 44, No.3 (2005):969--990.

[40] Q.H. Chen, Delin Chu and R. C. E.
Tan, Optimal control of obstacle for quasi-linear elliptic variational
bilateral problems. SIAM Journal on Control and Optimization, 44, No.3
(2005):1067--1080.

[41] B. Y. Guo,
Z. Q. Wang, Z. Su. Wan and Delin Chu, Second order Jacobi approximation with
applications to fourth-order differential equations. Applied Numerical
Mathematics, 55, No.4 (2005):480--502.

[42] Delin Chu and D. W. Ho, Computation
of the $(J, J^\prime)$-lossless factorization for
general rational matrices. SIAM Journal on Control and Optimization, 44, No.1
(2005):240--267.

[43] Delin Chu, On
the numerical computation of the optimal $H_2$-norm and its associated fixed modes
in $H_2$-optimization. Dynamics of Continuous, Discrete and Impulsive Systems,
Series B: Applications $\&$ Algorithms, 12, No.1 (2005):111--128.

[44] Delin Chu and Y. S. Hung, A numerically
reliable solution of squaring down problem in system design. Applied Numerical
Mathematics, 51, No.2-3 (2004):221--241.

[45] Delin Chu, On the computation of the infimum in $H_\infty$-optimization. Numerical Linear Algebra with Applications, 11,
No.7 (2004):619--648.

[46] Delin Chu, A constraint optimization
problem in singular control theory: where is the nearest non-index-at-most-one matrix
pencil? Dynamics of Continuous, Discrete and Impulsive Systems, Series B: Applications
$\&$ Algorithms, 10, No.5 (2003):765--780.

[47] Delin Chu, The fixed-poles of disturbance
decoupling problem and almost stability subspace $\cV_{b,g}^\star ({\rm Ker} C)$. Numerische Mathematik, 96, No.2
(2003):221--252.

[48] Delin Chu, L. De Lathauwer and B. De Moor, A QR-type
reduction for computing the SVD of a general matrix product/quotient. Numerische Mathematik, 95, No.1 (2003):101--121.

[49] Delin Chu and M. Malabre, Numerically reliable design for proportional and derivative
state feedback decoupling controller. Automatica, 38, No.12 (2002):2121--2125.

[50] Delin Chu and D. W. Ho, A new algorithm
for an eigenvalue assignment problem from singular control theory. IEEE Transactions
on Automatic Control, AC-47, No.7 (2002):1163--1167.

[51] Delin Chu, and M. Malabre, On the quadratic controllability
and quadratic feedback minimality. IEEE Transactions
on Automatic Control, AC-47, No.9 (2002):1487--1491.

[52] Delin Chu, and R. C. E. Tan, Solvability
conditions and parameterization of all solutions for triangular decoupling
problem. SIAM Journal on Matrix Analysis and Applications, 23, No.4 (2002):1171--1182.

[53] Delin Chu, and R. C. E. Tan, Numerically
reliable computing for row by row decoupling problem with stability. SIAM
Journal on Matrix Analysis and Applications, 23, No.4 (2002):1143--1170.

[54] Delin Chu, X. Liu and R. C. E. Tan,
On the numerical computation of a structural decomposition for linear systems
(Regular Paper). IEEE Transactions on Automatic Control, AC-47, No.11 (2002):1786--1799.

[55] Delin Chu, A case study of the open
question: disturbance decoupling problem for singular systems by output feedback.
IEEE Transactions on Automatic Control, AC-46, No.12 (2001):1924--1930.

[56] Delin Chu, and V. Mehrmann, Disturbance decoupling for linear time-invariant systems:
a matrix pencil approach. IEEE Transactions on Automatic Control, AC-46, No.5
(2001):802--808.

[57] Delin Chu, L. De Lathauwer and B. De Moor, On the computation
of restricted singluar value decomposition via
cosine-sine decomposition. SIAM Journal on Matrix Analysis and Applications,
22, No.2 (2000):580--601.

[58] Delin Chu, Disturbance decoupled
observer design for linear time-invariant systems: a matrix pencil approach.
IEEE Transactions on Automatic Control, 45, No.8 (2000):1569--1575.

[59] Delin Chu, Matrix pencil characterizations
of disturbance decoupling for linear time-invariant systems with direct
feedthrough matrices. Internation Journal of Control,
73, No.11 (2000):1042--1050.

[60] Delin Chu, and V. Mehrmann, Disturbance decoupling for descriptor systems by state
feedback. SIAM Journal on Control and Optimization, 38, No.6 (2000):1830--1858.

[61] Delin Chu, and Y. S. Hung, A numeriacl solution for simultaneous disturbance rejection and
row by row decoupling problem. Linear Algebra and Its Applications, 320, No.1-3
(2000):37--49.

[62] Delin Chu, and V. Mehrmann, Disturbance decoupling for descriptor systems by measurement
feedback. Electronic Journal on Linear Algebra, 7 (2000):152--173.

[63] Delin Chu, and B. De Moor, On the nonuniqueness of the factorization
factors in the product singular value decomposition. Linear Algebra and Its
Applications, 314, No.1-3 (2000):191--203.

[64] Delin Chu, and B. De Moor, On a variational formulation of QSVD
and RSVD. Linear Algebra and Its Applications, 311, No.1-3 (2000):61--78.

[65] Delin Chu, and V Mehrmann, Disturbance decoupled observer design for descriptor
systems. Systems $\&$ Control Letters, 38, No.1 (1999):37--48.

[66] Delin Chu, and D. W. Ho, Necessary
and sufficient conditions for output feedback regularization of singular
systems. IEEE Transactions on Automatic Control, AC-44, No.2 (1999):405--412.

[67] Delin Chu, and D. W. Ho, Infinite
eigenvalue assignment for singular systems. Linear Algebra and Its Applications,
298, No.1-3 (1999):21--37.

[68] Delin Chu, V. Mehrmann and N. Nichols, Minimum norm regularization of descriptor
systems by mixed output feedback. Linear Algebra and Its Applications, 296,
No.1-3 (1999):39--77.

[69] Y. S. Hung and Delin Chu, $(J, J^\prime)$-lossless factorization for discrete-time systems.
International Journal of Control, 71, No.3 (1998):517--533.

[70] Delin Chu, H. C. Chan and D. W.
Ho, Regularization of singular systems by derivative and proportional output feedback.
SIAM Journal on Matrix Analysis and Applications, 19, No.1 (1998):21--38.

[71] Y. S. Hung and Delin Chu, On extended
$(J, J^\prime)$-lossless factorization. Linear Algebra
and Its Applications, 271, No.1-3 (1998):117--138.

[72] Y. S. Hung and Delin Chu, Relationships
between discrete-time and continuous-time algebraic Riccati
inequalities. Linear Algebra and Its Applications, 270, No.1-3 (1998):287--313.

[73] Delin Chu, H. C. Chan and D. W.
Ho, A general framework for state feedback pole assignment of singular systems.
International Journal of Control, 67, No.2 (1997):135--152.

[74] W. H. Hui and Delin Chu, The optimal
grid for steady Euler equations. Computational Fluid Dynamics Journal, An International Journal, Japan, No.4 (1996):403--426.

[75] N. K. Nichols and Delin Chu, Regularization
of descriptor systems. In Numerical Algebra, Matrix Theory, Differential-Algebraic
Equations and Control Theory, (eds P. Benner, M. Bollhoefer, D. Kressner, C. Mehl and T. Stykel), Springer
International Publishing, Switzerland, pp. 415--433, 2015.

[76] Delin Chu and Y.S. Hung, Numerical
computation of the fixed poles in disturbance decoupling for descriptor
systems, In Numerical Linear Algebra in Signals, Systems and Control

(eds P. Van Dooren, S. Bhattacharya,
R. Chan, V. Olshevsky, A. Routray),
145--164. Germany:

Springer Verlag,
2011.