Department of Computing Science Umeå University

Lists of Publiations of Ji-guang Sun


PUBLICATION LIST (I)

(BOOKS)

  1. Matrix Perturbation Analysis
    Science Press, Beijing, 1987 [In Chinese]
    Science Press, Beijing, 2001 [Second Edition, in Chinese]

  2. (With G. W. Stewart)
    Matrix Perturbation Theory
    Academic Press, New York, 1990

PUBLICATION LIST (II)

(REFEREED JOURNAL ARTICLES)

  1. (With Sheng Gong)
    Integral representations of analytic functions in domain of circular type
    Journal of the Chinese University of Science and Technology, 1, 219-226 (1965) [In Chinese]
    Scientia Sinica, 14, 302 (1965)

  2. (With Sheng Gong)
    Integrals of Cauchy type in several complex variables I. Integrals of Cauchy type on a hypersphere
    Acta Math. Sinica, 15, 431-443 (1965) [In Chinese]
    Scientia Sinica, 14, 300-301 (1965)

  3. (With Sheng Gong)
    Integrals of Cauchy type in several complex variables II. Integrals of the Cauchy type on the hyperbolic space of a Lie sphere
    Acta Math. Sinica, 15, 775-799 (1965) [In Chinese]
    Scientia Sinica, 14, 453-456 (1965)

  4. (With Sheng Gong)
    Integrals of Cauchy type in several complex variables III. Integrals of the Cauchy type on hyperbolic spaces of matrices
    Acta Math. Sinica, 15, 800-811 (1965) [In Chinese]
    Scientia Sinica, 14, 621-623 (1965)

  5. (With Sheng Gong)
    Singular integral equations on a complex hypersphere
    Acta Math. Sinica, 16, 194-210 (1966) [In Chinese]
    Scientia Sinica, 14, 913-916 (1965) [In Russian]

  6. Harmonic functions on a class of bounded symmetric domains
    Journal of the Chinese University of Science and Technology, 3, 55-67 (1973) [In Chinese]

  7. Regularization of singular integral equations on a complex hypersphere
    Acta Math. Sinica, 20, 287-290 (1977) [In Chinese]

  8. Harmonic functions on a class of real classical domains
    Acta Math. Sinica, 21, 277-281 (1978) [In Chinese]

  9. Singular integral equations on a closed smooth manifold
    Acta Math. Sinica, 22, 692-711 (1979) [In Chinese]

  10. Invariant subspaces and generalized invariant subspaces I. Existence and uniqueness theorems
    Math. Numer. Sinica, 2, 1-14 (1980) [In Chinese]

  11. Invariant subspaces and generalized invariant subspaces II. Perturbation theorems
    Math. Numer. Sinica, 2, 113-123 (1980) [In Chinese]

  12. (With Chun-yuan Zhang and Cheng-rui Qing)
    The calculation of current of maintaining field in toroidal plasma equilibrium
    Acta Physica Sinica, 29, 1110-1120 (1980) [In Chinese]

  13. The perturbation bounds of generalized eigenvalues of a class of matrix pairs
    Math. Numer. Sinica, 4, 23-29 (1982) [In Chinese]

  14. On the perturbation of generalized singular values
    Math. Numer. Sinica, 4, 229-233 (1982) [In Chinese]

  15. A note on Stewart's theorem for definite matrix-pairs
    Linear Algebra and Appl., 48, 331-339 (1982)

  16. (With L. Elsner)
    Perturbation theorems for the generalized eigenvalue problem
    Linear Algebra and Appl., 48, 341-357 (1982)

  17. On the Wielandt- Hoffman theorem
    Math. Numer. Sinica, 5, 208-212 (1983) [In Chinese]

  18. Perturbation analysis for the generalized singular value problem
    SIAM J. Numer. Anal., 20, 611-625 (1983)

  19. The perturbation bounds for eigenspaces of a definite matrix-pair
    Numer. Math., 41, 321-343 (1983)

  20. Orthogonal projections and the perturbation of the eigenvalues of singular pencils
    J. Comput. Math., 1, 63-74 (1983)

  21. Perturbation theorems for generalized singular values
    J. Comput. Math., 1, 233-242 (1983)

  22. Estimation of the separation of two matrices
    J. Comput. Math., 2, 189-200 (1984)

  23. On the perturbation of the eigenvalues of a normal matrix
    Math. Numer. Sinica, 6, 334-336 (1984) [In Chinese]

  24. The stability of orthogonal projections
    J. Graduate School, 1, 123-133 (1984) [In Chinese]

  25. Estimation of the separation of two matrices (II)
    J. Comput. Math., 3, 19-26 (1985)

  26. Gerschgorin type theorem and the perturbation of eigenvalues of a singular pencil
    Math. Numer. Sinica, 7, 253-264 (1985) [In Chinese]
    Translation in Chinese Journal of Numerical Mathematics and Applications, 10, 1-13 (1988)

  27. Eigenvalues and eigenvectors of a matrix dependent on several parameters
    J. Comput. Math., 3, 351-364 (1985)

  28. An algorithm for the solution of multiparameter eigenvalue problems
    Math. Numer. Sinica, 8, 137-149 (1986) [In Chinese]

  29. An algorithm for the solution of multiparameter eigenvalue problems II
    Math. Numer. Sinica, 8, 354-363 (1986) [In Chinese]

  30. The stability of solutions for inverse problems of matrices
    Math. Numer. Sinica, 8, 251-257 (1986) [In Chinese]

  31. (With Qiang Ye)
    The unsolvability of inverse algebraic eigenvalue problems almost everywhere
    J. Comput. Math., 4, 212-226 (1986)

  32. The unsolvability of multiplicative inverse eigenvalue problems almost everywhere
    J. Comput. Math., 4, 227-244 (1986)

  33. The stability analysis of the solutions of inverse eigenvalue problems
    J. Comput. Math., 4, 345-353 (1986)

  34. On the sufficient conditions for the solubility of algebraic inverse eigenvalue problems
    Math. Numer. Sinica, 9, 49-59 (1987) [In Chinese]

  35. Perturbation of angles between linear subspaces
    J. Comput. Math., 5, 58-61 (1987)

  36. Least-squares solutions of a class of inverse eigenvalue problems
    Math. Numer. Sinica, 9, 206-216 (1987) [In Chinese]

  37. On numerical methods for robust pole assignment in control system design
    J. Comput. Math., 5, 119-134 (1987)

  38. On numerical methods for robust pole assignment in control system design II
    J. Comput. Math., 5, 352-363 (1987)

  39. On measures of robustness of a control system
    Math. Numer. Sinica, 9, 319-326 (1987) [In Chinese]

  40. On the numerical range of a matrix-pair
    Chinese Quaterly J. of Math., 2, 92-99 (1987)

  41. Sensitivity analysis of multiple eigenvalues
    J. Comput. Math., 6, 28-38 (1988)

  42. Sensitivity analysis of multiple eigenvalues (II)
    J. Comput. Math., 6, 131-141 (1988)

  43. Two kinds of inverse eigenvalue problems
    Math. Numer. Sinica, 10, 282-290 (1988) [In Chinese]

  44. A note on simple non-zero singular values
    J. Comput. Math., 6, 258-266 (1988)

  45. Sensitivity analysis of zero singular values and multiple singular values
    J. Comput. Math., 6, 325-335 (1988)

  46. A note on pole assignment
    Math. Numer. Sinica, 10, 438-443 (1988) [In Chinese]

  47. (With Chunhui Chen)
    Perturbation bounds for the polar factors
    J. Comput. Math., 7, 397-401 (1989)

  48. (With Chunhui Chen)
    Generalized polar decomposition
    Math. Numer. Sinica, 11, 262-273 (1989) [In Chinese]

  49. A note on local behaviors of multiple eigenvalues
    SIAM J. Matrix Anal. Appl., 10, 533-541 (1989)

  50. Multiple eigenvalue sensitivity analysis
    Linear Algebra and Appl., 137/138, 183-211 (1990)

  51. Relative eigenvalues of a definite matrix pair
    Linear Algebra and Appl., 139, 253-267 (1990)

  52. Eigenvalues of Rayleigh quotient matrices
    Numer. Math., 59, 603-614 (1991)

  53. On the approximate polar factors
    Math. Numer. Sinica, 13, 45-50 (1991) [In Chinese]

  54. Condition numbers of semisimple multiple eigenvalues
    Math. Numer. Sinica, 13, 58-66 (1991) [In Chinese]

  55. Perturbation expansions for invariant subspaces
    Linear Algebra and Appl., 153, 85-97 (1991)

  56. Perturbation bounds for the Cholesky and QR factorizations
    BIT, 31, 341-352 (1991)

  57. Rayleigh quotient and residual of a definite pair
    J. Comput. Math., 9, 247-255 (1991)

  58. Perturbation bounds for stable invariant subspaces
    Math. Numer. Sinica, 13, 259-273 (1991) [In Chinese]

  59. Generalized gradients and sensitivities of multiple eigenvalues
    Math. Numer. Sinica, 13, 369-381 (1991) [In Chinese]

  60. Extensions of the Kantorovich inequality and the Bauer-Fike inequality
    J. Comput. Math., 9, 360-368 (1991)

  61. Rounding-error and perturbation bounds for the Cholesky and LD LT factorizations
    Linear Algebra Appl., 173, 77-97 (1992)

  62. On condition numbers of a nondefective multiple eigenvalue
    Numer. Math., 61, 265-275 (1992)

  63. Numerical computation of the sensitivities of multiple eigenvalues
    Math. Numer. Sinica, 14, 10-19 (1992) [In Chinese]

  64. Condition numbers of a multiple eigenvalue
    Numerical Mathematics, A Journal of Chinese Universities, 1, 23-33 (1992)

  65. On the sensitivity of semisimple multiple eigenvalues
    J. Comput. Math., 10, 193-203 (1992)

  66. Componentwise perturbation bounds for some matrix decompositions
    BIT, 32, 702-714 (1992)

  67. Backward perturbation analysis of certain characteristic subspaces
    Numer. Math., 65, 357-382 (1993)

  68. (With B. Waldén and R. Karlsson)
    Optimal backward perturbation bounds for the linear least squares problem
    Numer. Linear Algebra Appl., 2, 271-286 (1995)

  69. On perturbation bounds for the QR factorization
    Linear Algebra Appl., 215, 95-111 (1995)

  70. Perturbation analysis of the Cholesky downdating and QR updating problems
    SIAM J. Matrix Anal. Appl., 16, 760-775 (1995)

  71. On worst-case condition numbers of a nondefective multiple eigenvalue
    Numer. Math., 68, 373-382 (1995)

  72. Perturbation bounds for the generalized Schur decomposition
    SIAM J. Matrix Anal. Appl., 16, 1328-1340 (1995)

  73. A note on backward perturbations for the Hermitian eigenvalue problem
    BIT, 35, 385-393 (1995)

  74. Optimal backward perturbation bounds for the linear LS problem with multiple right-hand sides
    IMA J. Numer. Anal., 16, 1-11 (1996)

  75. On two functions of matrix with positive definite Hermitian part
    Linear Algebra Appl., 244, 55-68 (1996)

  76. Perturbation analysis of system Hessenberg and Hessenberg/triangular forms
    Linear Algebra Appl., 241/243, 811-849 (1996)

  77. On the variation of the spectrum of a normal matrix
    Linear Algebra Appl. 246, 215-223 (1996)

  78. Residual bounds on approximate solutions for the unitary eigenproblem
    SIAM J. Matrix Anal. Appl., 17, 69-82 (1996)

  79. Perturbation analysis of the pole assignment problem
    SIAM J. Matrix Anal. Appl., 17, 313-331 (1996)

  80. Perturbation analysis of singular subspaces and deflating subspaces
    Numer. Math., 73, 235-263 (1996)

  81. Backward error for the discrete-time algebraic Riccati equation
    Linear Algebra Appl., 259, 183-208 (1997)

  82. Perturbation analysis of the matrix sign function
    Linear Algebra Appl., 250, 177-206 (1997)

  83. Residual bounds of approximate solutions of the algebraic Riccati equation
    Numer. Math., 76, 249-265 (1997)

  84. (With Zheng Sun)
    Optimal backward perturbation bounds for underdetermined systems
    SIAM J. Matrix Anal. Appl. 18, 393-402 (1997)

  85. On optimal backward perturbation bounds for the linear least squares problem
    BIT, 37, 179-188 (1997)

  86. Residual bounds of approximate solutions of the discrete-time algebraic Riccati equation
    Numer. Math., 78, 463-478 (1998)

  87. Perturbation theory for algebraic Riccati equations
    SIAM J. Matrix Anal. Appl., 19, 39-65 (1998)

  88. Sensitivity analysis of the discrete-time algebraic Riccati equation
    Linear Algebra Appl., 275/276, 595-615 (1998)

  89. Perturbation analysis of generalized singular subspaces
    Numer. Math., 79, 615-641 (1998)

  90. Structured backward errors for KKT systems
    Linear Algebra Appl., 288, 75-88 (1999)

  91. Bounds for the structured backward errors of Vandermonde systems
    SIAM J. Matrix Anal. Appl., 20, 45-59 (1999)

  92. Backward errors for the inverse eigenvalue problem
    Numer. Math., 82, 339-349 (1999)

  93. Condition number and backward error for the generalized singular value decomposition
    SIAM J. Matrix Anal. Appl., 22, 323-341 (2000)

  94. (With Wen-Wei Lin)
    Perturbation analysis for the eigenproblem of periodic matrix pairs
    Linear Algebra Appl., 337, 157-187 (2001)

  95. Condition numbers of algebraic Riccati equations in the Frobenius norm
    Linear Algebra Appl., 350, 237-261 (2002)

  96. (With Wen-Wei Lin)
    Perturbation analysis of the periodic discrete-time algebraic Riccati equation
    SIAM J. Matrix Anal. Appl., 24, 411-438 (2002)

  97. (With Shu-fang Xu)
    Perturbation analysis of the maximal solution of the matrix equation X + A*X-1A = P.II
    Linear Algebra Appl., 362, 211-228 (2003)

  98. Perturbation analysis of the matrix equation X = Q + AH(X^ - C)-1A
    Linear Algebra Appl., 372, 33-51 (2003)

  99. Structured backward error for the linear system ATAx = b
    Journal of Natural Sciences of Heilongjiang University, 21, No.4, 4-10 (2004)

  100. Backward perturbation analysis of the periodic discrete-time algebraic Riccati equation
    SIAM J. Matrix Anal. Appl.,26, 1-19 (2004)

  101. Perturbation bounds for subspaces associated with periodic eigenproblems
    Taiwanese Journal of Mathematics, 9, No.1, 17-38 (2005)

  102. On the sensitivity of the spectral projection
    Linear Algebra Appl., 395, 83-94 (2005)

  103. A note on backward errors for structured linear systems
    Numer.Linear Algebra Appl., 12, 585-603 (2005)

Note. The works cover the following areas:

Two areas of Pure Mathematics (9 papers: [1]-[9]):

1. Singular integrals and integral equations in several complex variables

2. Harmonic functions on real classical domains

Five areas of Numerical Analysis and Scientific Computing (94 papers):

1. Matrix perturbation analysis

2. Plasma equilibrium problems

3. Inverse eigenvalue problems

4. Multivariate eigenvalue problems

5. Linear control problems

PUBLICATION LIST (III)

(SELECTED REPORTS)

  1. Optimal backward perturbation bounds for linear systems and linear least squares problems
    Report UMINF 96.15, ISSN-0348-0542, Department of Computing Science, Umeå University, 1996.

  2. Backward errors for the unitary eigenproblem
    Report UMINF 97.25, ISSN-0348-0542, Department of Computing Science, Umeå University, 1997.

  3. Stability and Accuracy: Perturbation Analysis of Algebraic Eigenproblems
    Report UMINF 98.07, ISSN-0348-0542, Department of Computing Science, Umeå University, 1998. Revised version, 2002.

  4. Perturbation analysis of quadratic eigenvalue problems
    Report UMINF 99.01, ISSN-0348-0542, Department of Computing Science, Umeå University, 1999.

  5. On condition numbers of generalized singular values
    Report UMINF 99.14, ISSN-0348-0542, Department of Computing Science, Umeå University, 1999.

  6. Perturbation analysis of algebraic Riccati equations
    Report UMINF 02.03, ISSN-0348-0542, Department of Computing Science, Umeå University, 2002. Revised version, 2005.

  7. Note on the study of matrix perturbation analysis
    Report UMINF 05.28, ISSN-0348-0542, Department of Computing Science, Umeå University, 2005.

PUBLICATION LIST (IV)

(OTHER PUBLICATIONS)

  1. Perturbation analysis for the generalized eigenvalue and the generalized singular value problem
    Lecture Notes in Math. 973, MATRIX PENCILS, pages 221-244. Eds. A. Ruhe and B. Kågström, Springer Verlag, New York (1983)

  2. Commentary on A. J. Hoffman and H. W. Wielandt ``The variation of the spectrum of a normal matrix''
    Wielandt Mathematical Works, Volume 2; Linear Algebra and Analysis, pages 149-150. Eds. B. Huppert and H. Schneider, Water de Gruyter & Co., Berlin (1996)

  3. On optimal backward perturbation bounds
    Proceedings of The Workshop on Scientific Computing, pages 133-147. Eds. G. Golub, S. H. Lui, F. T. Luk, and R. J. Plemmons, Springer Verlag Singapore Pte Ltd, Singapore (1997)

  4. Perturbation analysis of algebraic Riccati equations
    Proceedings of ICCM2001 (Second International Congress of Chinese Mathematicians), papers 625-636. Eds. Chang-Shou Lin, Lo Yang, and Shing Tung Yau, International Press, Singapore (2004)

Note. Awards received

In 1985 and 1996, I was awarded twice the first prizes, issued annually by the Chinese Academy of Sciences, for distinguished achievement in scientific research. In 1985, the first prize is for my study in perturbation theory for algebraic eigenvalue problems during the period from 1980 to 1984; and in 1996, the first prize is for my study in singular integrals of several complex variables during the period from 1965 to 1979.



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Last modified: 2020-03-04