Moody Chu

Chu, M. T., & Lin, M. M. (2024, January 6). On the enumeration of subcells within hypercubes and its application to the Borsuk-Ulam theorem. NUMERICAL ALGORITHMS, Vol. 1. https://doi.org/10.1007/s11075-023-01716-5

Chu, M. T., & Zhang, Z. (2023). An Innate Moving Frame on Parametric Surfaces: The Dynamics of Principal Singular Curves. Mathematics, 11(15), 3306. https://doi.org/10.3390/math11153306

Chu, M. T. (2023). Lax dynamics for Cartan decomposition with applications to Hamiltonian simulation. IMA Journal of Numerical Analysis, 4, drad018. https://doi.org/10.1093/imanum/drad018

Chu, M. T., & Lin, M. M. (2022). A complex-valued gradient flow for the entangled bipartite low rank approximation. COMPUTER PHYSICS COMMUNICATIONS, 271. https://doi.org/10.1016/j.cpc.2021.108185

Lin, M. M., & Chu, M. T. (2022). Low-rank approximation to entangled multipartite quantum systems. QUANTUM INFORMATION PROCESSING, 21(4). https://doi.org/10.1007/s11128-022-03467-z

Lin, M. M., & Chu, M. T. (2022). Rank-1 Approximation for Entangled Multipartite Real Systems. JOURNAL OF SCIENTIFIC COMPUTING, 91(1). https://doi.org/10.1007/s10915-022-01805-y

Chu, M. T., & Lin, M. M. (2021). NONLINEAR POWER-LIKE AND SVD-LIKE ITERATIVE SCHEMES WITH APPLICATIONS TO ENTANGLED BIPARTITE RANK-1 APPROXIMATION. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 43(5), S448–S474. https://doi.org/10.1137/20M1336059

Dong, B., Jiang, N., & Chu, M. T. (2020). Nonlinear power-like iteration by polar decomposition and its application to tensor approximation. NUMERISCHE MATHEMATIK, 144(4), 729–749. https://doi.org/10.1007/s00211-020-01100-8

Jiang, N., Chu, M. T., & Shen, J. (2019). Structure-preserving isospectral transformation for total or partial decoupling of self-adjoint quadratic pencils. JOURNAL OF SOUND AND VIBRATION, 449, 157–171. https://doi.org/10.1016/j.jsv.2019.01.009

Chu, M. T., Guan, Y., Jiang, N., & Dong, B. (2018). A theoretical consideration of matrix-operative alternating least squares methods for orthogonal CP tensor approximation [Preprint].

Chu, M. T., Guan, Y., Dong, B., & Jiang, N. (2018). Convergence analysis of alternating direction methods: A general framework and its applications to tensor approximations [Preprint].

Guan, Y., Chu, M. T., & Chu, D. (2018). Convergence analysis of an SVD-based algorithm for the best rank-1 tensor approximation. LINEAR ALGEBRA AND ITS APPLICATIONS, 555, 53–69. https://doi.org/10.1016/j.laa.2018.06.006

Chu, M. T., & Jiang, N. (2018). Decoupling of Lattice Vibration [Preprint].

Chu, M. T., Jiang, N., & Dong, B. (2018). Global rank-1 approximation for order-3 tensors [Preprint]. Retrieved from https://mtchu.math.ncsu.edu/Research/Papers/Rank1_Order3_Global.pdf

Guan, Y., Chu, M. T., & Chu, D. (2018). SVD-BASED ALGORITHMS FOR THE BEST RANK-1 APPROXIMATION OF A SYMMETRIC TENSOR. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 39(3), 1095–1115. https://doi.org/10.1137/17M1136699

Wu, S.-J., & Chu, M. T. (2017). Markov chains with memory, tensor formulation, and the dynamics of power iteration. APPLIED MATHEMATICS AND COMPUTATION, 303, 226–239. https://doi.org/10.1016/j.amc.2017.01.030

Wu, S.-J., & Chu, M. T. (2017). Solving an inverse eigenvalue problem with triple constraints on eigenvalues, singular values, and diagonal elements. INVERSE PROBLEMS, 33(8). https://doi.org/10.1088/1361-6420/aa76c4

Chu, M. (2016). A Comment on the best rank-1 approximation of a symmetric tensor [Preprint].

Chu, M. T., & Liao, L. Z. (2016). Numerical Methods for Gradient Dynamics [Preprint].

Chu, M. (2016). On the adjoint of tensors [Preprint].

Chu, M. (2016). On the dynamics of maximin flows [Preprint].

Chu, M. T. (2016). On the first degree Fejer-Riesz factorization and its applications to X plus A*X(-1)A = Q. LINEAR ALGEBRA AND ITS APPLICATIONS, 489, 123–143. https://doi.org/10.1016/j.laa.2015.09.051

Wang, L., Chu, M. T., & Bo, Y. (2015). A computational framework of gradient flows for general linear matrix equations. NUMERICAL ALGORITHMS, 68(1), 121–141. https://doi.org/10.1007/s11075-014-9885-1

Wu, S.-J., & Chu, M. T. (2015). Constructing optimal transition matrix for Markov chain Monte Carlo. LINEAR ALGEBRA AND ITS APPLICATIONS, 487, 184–202. https://doi.org/10.1016/j.laa.2015.09.016

Wang, L., Chu, M. T., & Yu, B. (2015). ORTHOGONAL LOW RANK TENSOR APPROXIMATION: ALTERNATING LEAST SQUARES METHOD AND ITS GLOBAL CONVERGENCE. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 36(1), 1–19. https://doi.org/10.1137/130943133

Chu, M. T., & Lin, M. M. (2015). On the finite rank and finite-dimensional representation of bounded semi-infinite Hankel operators. IMA JOURNAL OF NUMERICAL ANALYSIS, 35(3), 1256–1276. https://doi.org/10.1093/imanum/dru001

Chu, M. T., Lin, M. M., & Wang, L. (2014). A study of singular spectrum analysis with global optimization techniques. JOURNAL OF GLOBAL OPTIMIZATION, 60(3), 551–574. https://doi.org/10.1007/s10898-013-0117-3

Wu, S.-J., Hwang, C.-R., & Chu, M. T. (2014). Attaining the Optimal Gaussian Diffusion Acceleration. JOURNAL OF STATISTICAL PHYSICS, 155(3), 571–590. https://doi.org/10.1007/s10955-014-0963-5

Dong, B., Lin, M. M., & Chu, M. T. (2014). Nonnegative rank factorization-a heuristic approach via rank reduction. NUMERICAL ALGORITHMS, 65(2), 251–274. https://doi.org/10.1007/s11075-013-9704-0

Wang, L., & Chu, M. T. (2014). ON THE GLOBAL CONVERGENCE OF THE ALTERNATING LEAST SQUARES METHOD FOR RANK-ONE APPROXIMATION TO GENERIC TENSORS. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 35(3), 1058–1072. https://doi.org/10.1137/130938207

Chu, M. T., Kuo, C.-H., & Lin, M. M. (2013). Tensor Spline Approximation in Economic Dynamics with Uncertainties. COMPUTATIONAL ECONOMICS, 42(2), 175–198. https://doi.org/10.1007/s10614-012-9331-1

Zhang, L.-H., & Chu, M. T. (2012). Computing absolute maximum correlation. IMA JOURNAL OF NUMERICAL ANALYSIS, 32(1), 163–184. https://doi.org/10.1093/imanum/drq029

Hughes-Oliver, J. M., Brooks, A. D., Welch, W. J., Khaledi, M. G., Hawkins, D., Young, S. S., … Chu, M. T. (2011). ChemModLab: A web-based cheminformatics modeling laboratory. In Silico Biology, 11(1-2), 61–81. https://doi.org/10.3233/CI-2008-0016

Chu, M. T., & Lin, M. M. (2011). Dynamical System Characterization of the Central Path and Its Variants-A Revisit. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 10(3), 887–905. https://doi.org/10.1137/100802955

Lin, M. M., Dong, B., & Chu, M. T. (2010). Inverse mode problems for real and symmetric quadratic models. INVERSE PROBLEMS, 26(6). https://doi.org/10.1088/0266-5611/26/6/065003

Lin, M. M., & Chu, M. (2010). On the nonnegative rank of Euclidean distance matrices. Linear Algebra and Its Applications, 433(3), 681–689. https://doi.org/10.1016/j.laa.2010.03.038

Chu, M. (2010). On the nonnegative rank of Euclidean distance matrices, II [Preprint].

Lin, M. M., Dong, B., & Chu, M. T. (2010). Semi-definite programming techniques for structured quadratic inverse eigenvalue problems. NUMERICAL ALGORITHMS, 53(4), 419–437. https://doi.org/10.1007/s11075-009-9309-9

Chu, M. T., Lin, M., & Dong, B. (2009). Integer matrix factorization and its applications [Preprint].

Dong, B., Lin, M. M., & Chu, M. T. (2009). Parameter reconstruction of vibration systems from partial eigeninformation. JOURNAL OF SOUND AND VIBRATION, 327(3-5), 391–401. https://doi.org/10.1016/j.jsv.2009.06.026

Chu, D., Chu, M., & Lin, W.-W. (2009). QUADRATIC MODEL UPDATING WITH SYMMETRY, POSITIVE DEFINITENESS, AND NO SPILL-OVER. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 31(2), 546–564. https://doi.org/10.1137/080726136

Chu, M. T., & Xu, S.-F. (2009). SPECTRAL DECOMPOSITION OF REAL SYMMETRIC QUADRATIC lambda-MATRICES AND ITS APPLICATIONS. MATHEMATICS OF COMPUTATION, 78(265), 293–313. https://doi.org/10.1090/S0025-5718-08-02128-5

Chu, M. (2008). Data mining and applied linear algebra. Proceedings - International Conference on Informatics Education and Research for Knowledge-Circulating Society, ICKS 2008, 20–25. https://doi.org/10.1109/ICKS.2008.39

Chu, M. T. (2008). Linear algebra algorithms as dynamical systems. Acta Numerica, 17, 1–86. https://doi.org/10.1017/S0962492906340019

Chu, M. T., & Lin, M. M. (2008). Low-dimensional polytope approximation and its applications to nonnegative matrix factorization. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 30(3), 1131–1155. https://doi.org/10.1137/070680436

Kelley, C. T., Liao, L.-Z., Qi, L., Chu, M. T., Reese, J. P., & Winton, C. (2008). PROJECTED PSEUDOTRANSIENT CONTINUATION. SIAM JOURNAL ON NUMERICAL ANALYSIS, 46(6), 3071–3083. https://doi.org/10.1137/07069866X

Chu, M. T. (2008). Quadratic Inverse Eigenvalue Problem and Its Applications to Model Updating — An Overview. In Mathematics in Industry (pp. 323–340). https://doi.org/10.1007/978-3-540-78841-6_15

Quadratic inverse eigenvalue problem and its applications to model updating - an overview. (2008). In Model Order Reduction: Theory, Research Aspects and Applications. https://doi.org/10.1007/978-3-540-78841-6

Chu, M. T., Datta, B., Lin, W.-W., & Xu, S. (2008). Spillover phenomenon in quadratic model updating. AIAA JOURNAL, 46(2), 420–428. https://doi.org/10.2514/1.31320

Chu, M. T., & Del Buono, N. (2008). Total decoupling of general quadratic pencils, Part I: Theory. JOURNAL OF SOUND AND VIBRATION, 309(1-2), 96–111. https://doi.org/10.1016/j.jsv.2007.05.058

Chu, M. T., & Del Buono, N. (2008). Total decoupling of general quadratic pencils, Part II: Structure preserving isospectral flows. JOURNAL OF SOUND AND VIBRATION, 309(1-2), 112–128. https://doi.org/10.1016/j.jsv.2007.05.052

Chu, M., & Golub, G. (2007). Inverse Eigenvalue Problems: Theory, Algorithms, and Applications. In Inverse Eigenvalue Problems: Theory, Algorithms, and Applications (Vol. 9780198566649, pp. 1–406). https://doi.org/10.1093/acprof:oso/9780198566649.001.0001

Ragni, S., Chu, M. T., Diele, F., & Marangi, C. (2007). On the estimation of the consumption matrix from inexact data in the leontief model. Journal of Numerical Analysis, Industrial and Applied Mathematics, 2(3-4), 139–156. Retrieved from http://www.scopus.com/inward/record.url?eid=2-s2.0-84947050612&partnerID=MN8TOARS

Chu, M. T., Del Buono, N., & Yu, B. (2007). Structured quadratic inverse eigenvalue problem, I. Serially linked systems. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 29(6), 2668–2685. https://doi.org/10.1137/060672510

Chu, M. T., Lin, W.-W., & Xu, S.-F. (2007). Updating quadratic models with no spillover effect on unmeasured spectral data. INVERSE PROBLEMS, 23(1), 243–256. https://doi.org/10.1088/0266-5611/23/1/013

Chu, D., & Chu, M. (2006). LOW RANK UPDATE OF SINGULAR VALUES. Retrieved from http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.153.6877

Chu, D., & Chu, M. (2006). Low rank update of singular values. Mathematics of Computation, 75(255), 1351–1367. https://doi.org/10.1090/S0025-5718-06-01825-4

Chu, D. L., & Chu, M. (2006). Reachable matrices by a QR step with shift. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 5(1), 91–107. https://doi.org/10.1137/040617844

Chu, M., & Plemmons, R. (2005). Nonnegative Matrix Factorization And Applications. Retrieved from http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.61.7507

Nonnegative matrix factorization and applications. (2005). IMAGE. Retrieved from https://citeseerx.ist.psu.edu/document?repid=rep1&type=pdf&doi=73a543613d5eee22fd0172f5c1397ac23d8c09c0

Chu, M. T., & Plemmons, R. (2005). Nonnegative matrix factorization and applications. IMAGE, 34, 1–5.

Chu, M. T., & Xu, S. F. (2005). On computing minimal realizable spectral radii of non-negative matrices. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 12(1), 77–86. https://doi.org/10.1002/nla.395

Chu, M. T., Diele, F., & Ragni, S. (2005). On the inverse problem of constructing symmetric pentadiagonal Toeplitz matrices from their three largest eigenvalues. INVERSE PROBLEMS, 21(6), 1879–1894. https://doi.org/10.1088/0266-5611/21/6/005

Chu, M., Del Buono, N., Lopez, L., & Politi, T. (2005). On the low-rank approximation of data on the unit sphere. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 27(1), 46–60. https://doi.org/10.1137/S0895479803433295

Chu, M. T., Diele, F., Plemmons, R., & Ragni, S. (2005). Optimality, Computation and Interpretation of nonnegative matrix factorizations [Preprint].

Chu, M. T., Diele, F., & Sgura, I. (2004, March 1). Gradient flow methods for matrix completion with prescribed eigenvalues. LINEAR ALGEBRA AND ITS APPLICATIONS, Vol. 379, pp. 85–112. https://doi.org/10.1016/S0024-3795(03)00393-8

Chu, M. (2004). Group theory, linear transformations, and flows: Dynamical systems on manifolds [Preprint].

Chu, M. T., Chu, D. I., & Brown, H. (2004). On the least squares Euclidean distance matrix approximation and completion [Preprint].

Chu, M., Del Buono, N., Diele, F., Politi, T., & Ragni, S. (2004). On the semigroup of standard symplectic matrices and its applications. LINEAR ALGEBRA AND ITS APPLICATIONS, 389(1-3), 215–225. https://doi.org/10.1016/j.laa.2004.03.017

Chu, D., & Chu, M. (2004). SINGULAR VALUE REASSIGNMENT WITH LOW RANK MATRICES. Retrieved from http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.71.8290

Chu, D., & Chu, M. (2004). SINGULAR VALUE REASSIGNMENT WITH LOW RANK MATRICES (DRAFT: June 11, 2004). Retrieved from http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.61.6384

Chu, M. T., Orlowski, N., Schlorff, D., Blevins, J., Canas, D., & Funderlic, R. (2004). The effect of ties on convergence in the k-modes variants for clustering categorical data [Preprint].

Chu, M. T., Kuo, Y. C., & Lin, W. W. (2003). On inverse quadratic eigenvalue problems with partially prescribed eigenstructure. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 25(4), 995–1020. https://doi.org/10.1137/S0895479803404484

Chu, M. T., Diele, F., & Sgura, I. (2003). On robust matrix completion with prescribed eigenvalues. FUTURE GENERATION COMPUTER SYSTEMS, 19(7), 1139–1153. https://doi.org/10.1016/s0167-739x(03)00040-2

Chu, M. T., & Plemmons, R. J. (2003). Real-valued, low rank, circulant approximation. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 24(3), 645–659. https://doi.org/10.1137/S0895479801383166

Chu, M. T., Funderlic, R. E., & Plemmons, R. J. (2003). Structured low rank approximation. LINEAR ALGEBRA AND ITS APPLICATIONS, 366(SPEC. ISS.), 157–172. https://doi.org/10.1016/S0024-3795(02)00505-0

Chu, M. T., & Golub, G. H. (2002). Structured inverse eigenvalue problems. Acta Numerica, 11, 1–71. https://doi.org/10.1017/S0962492902000016

Chu, M. T., & Fundelic, R. E. (2002). The centroid decomposition: Relationships between discrete variational decompositions and SVDs. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 23(4), 1025–1044. https://doi.org/10.1137/S0895479800382555

Chu, M. (2001). On the statistical meaning of truncated singular value decomposition [Preprint].

Chu, M. T., & Trendafilov, N. T. (2001). The orthogonally constrained regression revisited. JOURNAL OF COMPUTATIONAL AND GRAPHICAL STATISTICS, 10(4), 746–771. https://doi.org/10.1198/106186001317243430

Chu, M. T. (2000). A fast recursive algorithm for constructing matrices with prescribed eigenvalues and singular values. SIAM JOURNAL ON NUMERICAL ANALYSIS, 37(3), 1004–1020. https://doi.org/10.1137/S0036142998339301

Chu, M. T., Pauca, V. P., Plemmons, R. J., & Sun, X. B. (2000). A mathematical framework for the linear reconstructor problem in adaptive optics. LINEAR ALGEBRA AND ITS APPLICATIONS, 316(1-3), 113–135. https://doi.org/10.1016/S0024-3795(00)00019-7

Trendafilov, N. T., & Chu, M. T. (1999). A Continuous-Time Approach to the Oblique Procrustes Problem. Behaviormetrika, 26(2), 167–181. https://doi.org/10.2333/bhmk.26.167

Chu, M. (1999). On an adaptive control algorithm for the adaptive optics problems [Preprint].

Chu, M. T. (1999). On constructing matrices with prescribed singular values and diagonal elements. LINEAR ALGEBRA AND ITS APPLICATIONS, 288(1-3), 11–22. https://doi.org/10.1016/S0024-3795(98)10124-6

Chu, M. T., & Guo, Q. L. (1998). A numerical method for the inverse stochastic spectrum problem. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 19(4), 1027–1039. https://doi.org/10.1137/S0895479896292418

Chu, M. T., Funderlic, R. E., & Plemmons, R. J. (1998). Approximation by structured lower rank matrices. Proceedings of SPIE - The International Society for Optical Engineering, 3461, 268–279. https://doi.org/10.1117/12.325687

Davis, W. R., Chu, M. T., McConnell, J. R., Dolan, P., Norris, L. K., Ortiz, E., … Prioli, C. A. (1998). Cornelius Lanczos: Collected published papers with commentaries. Raleigh, NC: College of Physical and Mathematical Sciences, North Carolina State University.

Chu, M. T. (1998). [Review of Inverse eigenvalue problems]. SIAM REVIEW, 40(1), 1–39. https://doi.org/10.1137/S0036144596303984

Chu, M. T., & Trendafilov, N. T. (1998). On a differential equation approach to the weighted or orthogonal Procrustes problem. STATISTICS AND COMPUTING, 8(2), 125–133. https://doi.org/10.1023/A:1008934100736

Chu, M., & Quanlin, G. (1998). On the least squares approximation of symmetric-definite pencils subject to generalized spectral constraints. SIAM Journal on Matrix Analysis and Applications, 19(1), 1–20. https://doi.org/10.1137/s0895479895285135

Chu, M. T. (1998). On the optimal consistent approximation to pairwise comparison matrices. LINEAR ALGEBRA AND ITS APPLICATIONS, 272(1-3), 155–168. https://doi.org/10.1016/S0024-3795(97)00329-7

Chu, M. T., & Trendafilov, N. T. (1998). Orthomax Rotation Problem. A Differential Equation Approach. Behaviormetrika, 25(1), 13–23. https://doi.org/10.2333/bhmk.25.13

Chu, M. T., Funderlic, R. E., & Golub, G. H. (1998). Rank modifications of semidefinite matrices associated with a secant update formula. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 20(2), 428–436. https://doi.org/10.1137/S0895479896306021

Chu, M. T., Funderlic, R. E., & Golub, G. H. (1997). On a variational formulation of the generalized singular value decomposition. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 18(4), 1082–1092. https://doi.org/10.1137/S0895479895287079

Chen, X., & Chu, M. T. (1996). On the least squares solution of inverse eigenvalue problems. SIAM Journal on Numerical Analysis, 33(6), 2417–2430. https://doi.org/10.1137/S0036142994264742

Chu, M. (1995). A list of matrix flows with applications. Hamiltonian and Gradient Flows, Algorithms and Control, 87–97. https://doi.org/10.1090/fic/003/07

Chu, M. T. (1995). Constructing a Hermitian Matrix from Its Diagonal Entries and Eigenvalues. SIAM Journal on Matrix Analysis and Applications, 16(1), 207–217. https://doi.org/10.1137/s0895479893243177

Chu, M. T., & Plemmons, R. (1995). Numerical methods for adaptive-optics systems [Preprint].

Chu, M. T., Funderlic, R. E., & Golub, G. H. (1995). On a new geometric meaning of the BFGS update [Preprint].

Chu, M. (1995). On the refinement of a Newton method for the inverse Toeplitz eigenvalue Problem [Preprint].

Chu, M. T., Funderlic, R. E., & Golub, G. H. (1995). Rank-one reduction formula and its applications to matrix factorizations. SIAM Review, 37(4), 512–530. https://doi.org/10.1137/1037124

Chu, M. T. (1995). Scaled Toda-like flows. Linear Algebra and Its Applications, 215(C), 261–273. https://doi.org/10.1016/0024-3795(93)00091-D

Chu, M. T., & Wright, J. W. (1995). The educational testing problem revisited. IMA Journal of Numerical Analysis, 15(1), 141–160. https://doi.org/10.1093/imanum/15.1.141

A list of matrix flows with applications. (1994). In Hamiltonian and Gradient Flows, Algorithms and Control. Retrieved from https://bookstore.ams.org/fic-3

Chu, M. T., Brown, J., Ellison, D., & Plemmons, R. (Eds.). (1994). Proceedings of the Cornelius Lanczos International Centenary Conference. Philadelphia, PA: SIAM.

Chu, M. T., & Erbrecht, M. A. (1994). Symmetric Toeplitz Matrices with Two Prescribed Eigenpairs. SIAM Journal on Matrix Analysis and Applications, 15(2), 623–635. https://doi.org/10.1137/s0895479891221757

Chu, M. T., & Watterson, J. L. (1993). On a Multivariate Eigenvalue Problem, Part I: Algebraic Theory and a Power Method. SIAM Journal on Scientific Computing, 14(5), 1089–1106. https://doi.org/10.1137/0914066

Chu, M. (1993). On the differential equation dX dt = [X; k(X)] where k is a Toeplitz annihilator [Preprint].

Chu, M. T. (1993). The stability group of symmetric Toeplitz matrices. Linear Algebra and Its Applications, 185(C), 119–123. https://doi.org/10.1016/0024-3795(93)90208-6

Chu, M. T. (1992). Matrix differential equations: a continuous realization process for linear algebra problems. Nonlinear Analysis, 18(12), 1125–1146. https://doi.org/10.1016/0362-546X(92)90157-A

Chu, M. T. (1992). Numerical methods for inverse singular value problems. SIAM Journal on Numerical Analysis, 29(3), 885–903. https://doi.org/10.1137/0729054

Chu, M. (1992). On the inverse eigenvalue problem for real circulant matrices [Preprint].

Chu, M. T. (1991). A continuous Jacobi-like approach to the simultaneous reduction of real matrices. Linear Algebra and Its Applications, 147(C), 75–96. https://doi.org/10.1016/0024-3795(91)90230-T

Chu, M. T., & Driessel, K. R. (1991). Constructing Symmetric Nonnegative Matrices with Prescribed Eigenvalues by Differential Equations. SIAM Journal on Mathematical Analysis, 22(5), 1372–1387. https://doi.org/10.1137/0522088

Chu, M. T. (1991). Least Squares Approximation by Real Normal Matrices with Specified Spectrum. SIAM Journal on Matrix Analysis and Applications, 12(1), 115–127. https://doi.org/10.1137/0612009

Chu, M. T., & Driessel, K. R. (1990). Projected gradient method for least squares matrix approximations with spectral constraints. SIAM Journal on Numerical Analysis, 27(4), 1050–1060. https://doi.org/10.1137/0727062

Chu, M. T. (1990). Solving additive inverse eigenvalue problems for symmetric matrices by the homotopy method. IMA Journal of Numerical Analysis, 10(3), 331–342. https://doi.org/10.1093/imanum/10.3.331

Chu, M. T., & Driessel, K. R. (1990). Some numerical experiments with isospectral flows (Technical Report No. 90-01). Idaho State University.

Chu, M. T., & Guiguis, G. H. (1989). A numerical method for solving interface problems arising in two-point boundary value problems. Computer Methods in Applied Mechanics and Engineering, 74(1), 99–113. https://doi.org/10.1016/0045-7825(89)90089-3

Chu, M. T., & Driessel, K. R. (1989). Can real symmetric Toeplitz matrices have arbitrary real spectra? [Preprint].

Chu, M. T. (1988). A derivative-free iterative method for locating the hand position of a robot manipulator (No. MCSP48-0189). Argonne National Laboratory.

Chu, M. T. (1988). A note on the homotopy method for linear algebraic eigenvalue problems. Linear Algebra and Its Applications, 105(C), 225–236. https://doi.org/10.1016/0024-3795(88)90015-8

Chu, M. T., Li, T. Y., & Sauer, T. (1988). Homotopy Method for General $\lambda $-Matrix Problems. SIAM Journal on Matrix Analysis and Applications, 9(4), 528–536. https://doi.org/10.1137/0609043

Chu, M. T., & Norris, L. K. (1988). Isospectral Flows and Abstract Matrix Factorizations. SIAM Journal on Numerical Analysis, 25(6), 1383–1391. https://doi.org/10.1137/0725080

Chu, M. T. (1988). On the continuous realization of iterative processes. SIAM Review, 30(3), 375–387. https://doi.org/10.1137/1030090

Chu, M. (1987). On a differential equation approach to the additive inverse eigenvalue problems [Preprint].

Chu, M. T., & Hamilton, H. (1987). Parallel Solution of ODE’<scp>s</scp> by Multiblock Methods. SIAM Journal on Scientific and Statistical Computing, 8(3), 342–353. https://doi.org/10.1137/0908039

Chu, M. T., & Hamilton, H. (1987). Some remarks on the zero-stability of multiblock methods [Preprint].

Chu, M. (1986). A continuous approximation to the generalized Schur decomposition. Linear Algebra and Its Applications, 78(C), 119–132. https://doi.org/10.1016/0024-3795(86)90019-4

Chu, M. T. (1986). A differential equation approach to the singular value decomposition of bidiagonal matrices. Linear Algebra and Its Applications, 80(C), 71–79. https://doi.org/10.1016/0024-3795(86)90278-8

Chu, M. (1986). Continuous power method [Preprint].

Chu, M. T. (1986). Curves on $S^{n - 1} $ That Lead to Eigenvalues or Their Means of a Matrix. SIAM Journal on Algebraic Discrete Methods, 7(3), 425–432. https://doi.org/10.1137/0607048

Chu, M. T. (1985). Asymptotic analysis of Toda lattice on diagonalizable matrices. Nonlinear Analysis, 9(2), 193–201. https://doi.org/10.1016/0362-546X(85)90072-0

Chu, M. T. (1985). Symbolic calculation of the trace of the power of a tridiagonal matrix. Computing, 35(3-4), 257–268. https://doi.org/10.1007/BF02240193

Chu, M. T. (1984). A simple application of the homotopy method to symmetric eigenvalue problems. Linear Algebra and Its Applications, 59(C), 85–90. https://doi.org/10.1016/0024-3795(84)90160-5

Chu, M. T. (1984). On the Global Convergence of the Toda Lattice for Real Normal Matrices and Its Applications to the Eigenvalue Problem. SIAM Journal on Mathematical Analysis, 15(1), 98–104. https://doi.org/10.1137/0515004

Chu, M. T. (1984). The Generalized Toda Flow, the QR Algorithm and the Center Manifold Theory. SIAM Journal on Algebraic Discrete Methods, 5(2), 187–201. https://doi.org/10.1137/0605020

Chu, M. T. (1983). An automatic multistep method for solving stiff initial value problems. Journal of Computational and Applied Mathematics, 9(3), 229–238. https://doi.org/10.1016/0377-0427(83)90016-X

Chu, M. T. (1983). On a numerical treatment for the curve-tracing of the homotopy method. Numerische Mathematik, 42(3), 323–329. https://doi.org/10.1007/BF01389577

Chu, M. Data Mining and Applied Linear Algebra. Retrieved from http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.149.6302

Plemmonsy, M. C. Low Rank Circulant Approximation. Retrieved from http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.61.6788

Chu, D., Chu, M., & Lin, W.-wei. REAL SYMMETRIC QUADRATIC MODEL UPDATING THAT PRESERVES POSITIVE DEFINITENESS AND NO SPILL-OVER. Retrieved from http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.149.5746

Chu, M., Funderlic, R. E., Gene, & Golub, H. Rank Modifications Of Semi-Definite Matrices With Applications To Secant Updates. Retrieved from http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.47.6137