Asso. Professor       Lee, Sang-Gu

Mathematics Department (C),   SKK Univ.,                          LAST UPDATED    2000.2.10 



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My Family Pictures

 


 

Research area

 


Education and Academic Experience

Institution

Dates Attended

Degree Date

Degree Major

SungKyunKwan Univ.

1977-1981

1981

BS Math

Utah State Univ.

1984-1987

1987

MS Math

Utah State Univ.

1987-1991

1991

Ph.D. Math

 

Academic Experience

  1.  Visiting Associate Professor - Utah State Univ., Spring, 1999
  2.  Visiting Associate Professor - The College of William & Mary , Fall, 1998
  3.  Associate Professor - SungKyunKwan Univ. 1996.3 - present
  4.  Assistant Professor -SungKyunKwan Univ. 1992.3.- 1996.2
  5.  Instructor in Math - SungKyunKwan Univ. 1991-1992
  6.  Teaching Fellow in Math - Utah State Univ. 1989-1991

 


Academic Activity

  1.  S.K.K.U.  Units Evaluation Committee,  May - July 1998
  2.  S.K.K.U. Info. Center Advisory Com. , Mar.20 1998 - Feb. 28. 2000
  3.  Open Cyber Univ. Dev. Com. , Mar. 1998 - Present
  4.  S.K.K.U. Scholarship committee , Sep. 97-Aug. 1999
  5.   S.K.K.U. Web Based Instruction Committee, Jan 1998- Jan  1999
  6.  National College Entrance (SAT) Prob. Bank Committee, Aug.-Sep, 1997
  7.  National College Degree Qualification Exam. Committee (Basic Courses), 1997 and 1998
  8.  Korean Math Society CS Committee, 1997. 1 - Present
  9.  S.K.K.U. Curriculum reform committee, Sep.-Dec. 1995
  10.  Refereed for J. of KMS, B. of KMS, Comm. of KMS, Linear & Multilinear Algebra
  11.  Member of National College Entrance(SAT) Examination Committee, Oct.-Nov., 1995, and Oct-Nov. 1996
  12.  National Mathematics Olympiad Comm., KMS, 1993-1997, 1997-1999

 

Publications (Scholarly Papers, 논문)"

  1. "Linear Operators Strongly Preserving Multivariate Majorization " (with L. Beasley),  LAA 2000
  1. "The possible numbers of zeros in an orthogonal matrix " (with G.S. Cheon, C.R. Johnson, and E.J. Pribble),Elec. Jour. of Linear Algebra,V5, pp. 19-23, Feb. 1999 (http://math.technion.ac.il/iic/ela)
  2. "Linear Operators Strongly Preserving Multivariate Majorization withT(I)=I" (with L. Beasley and Y.H. Lee), kyungPook Math. Jour. 1999
  3. "Sign Nonsingularity and it's related algorithm for the determination of L-matrix" (with H.G. Seol and Y.H. Kim) To appear in J. SKKU.
  4. On a sign pattern and it's related algorithm for L-matrix " (with H.G. Seol and Y.H. Kim), Submitted to KSIAM.
  5. "Linear Algebra and our softwares" (with G.S.Cheon),   In preparation.
  6. "Explicit spectral norm and polar decomposition of W_c-companion matrices (with J.S. Kim, G.Y. Lee and S.Z. Song) In Prep.
  7. "Complex positive definite completion" (with H.G. Seol) In Prep.
  8. "Sign symmetric P-matrix Completion" (with H.G. Seol),  In Prep.
  9. " A characterization of sign idempotent matrices with full sign pattern " (with L. Beasley and S.W. Park), Submitted to Bull of KMS.
  10. "Matrix Theory: It's Old days and Present," (with O.K.Kang), In prep.
  11. "Nonnegativity of Reducible sign idempotent matrices" (with S.W. Park) submitted to  In prep.
  12. "On an algorithm for the determination of L-matrix" (with H.G. Seol)  Proc. Workshops in Pure Math. V. 16, part I (1997) pp.165-178.
  13. "Linear Operators Strongly Preserving Multivariate Majorization " (with Y.H. Lee) Proc. Workshops in Pure Math. V. 17, part I (1997) pp.113-118.
  14. "A characterization of Signpatterns with minimal semipositivity" (with H.K. Seol and S.W. Park), Comm. KMS (1998).
  15. "Sign patterns with minimal semipositivity and inverse nonnegativity" (with H.K. Seol and S.W. Park),  Proc. Workshops in Pure Math. V. 17, part I (1997) pp.155-164.
  16. "Differential Operators that Preserve Differential Equations" (with S.Z.Song),  J. of Nat. Sci. SungKyunKwan Univ. V.47 No.2 pp. 1-9 (1996)
  17. "A Characterization of Strong Preservers on Multivariate Majorization", Proc. of InHa Symposium on Pure and appl. Math.,June , pp.17-30  (1997)
  18. "Linear Operators strongly preserving matrices whose sign-pattern require the Perron property, (With H.G.Seol and S.W.Park), Linear Algebra and its Applications V.269, No.1-3, pp.53-63 (1998)
  19. "Linear operators that strongly preserves the sign-central matrices"(With S.Z.Song and G.Y.Lee), Bull. Korean Math. Society, V.34, No.1, pp.51-61 (1997).
  20. "On the k-generalized Fibonacci Matrix Q_k" (with G.Y. Lee and H.G. Shin), Linear Algebra and Its Appl. V.251, pp.73-88 (1997).
  21. "Multivariate Majorization strongly preserving linear operators on matrices"(with Y.H.Lee and L.B.Beasley), Proc. of Prague Mathematical Meeting, Czech Republic, pp.19-22  (1996)
  22. "Linear operators strongly preserving multivariate majorization"(with Y.H. Lee), J. of Nat. Sci. SungKyunKwan Univ. V.47 No.1 pp. 1-9 (1995)
  23. "Linear Operators strongly preserving matrices whose sign-pattern require the Perron property" (with S.W. Park and H.G. Seol), Proc. Workshops in Pure Math. V. 16, part I , pp.213-220 (1996)
  24. "Linear Transformations that preserve the Assignment II" (with L. Beasley and G.Y. Lee), Jour. Korean Math. Society, V.33 No.3, 527-539 (1996)
  25. "For the positive definite sign pattern matrices" (with S.W. Park) J. of Nat. Sci. SungKyunKwan Univ. V.45 No.2 pp.63-68 (1994)
  26. "For inverse sign-pattern matrices" (with S.W. Park, G.H. Kim) J. of Nat. Sci. SungKyunKwan Univ. V.46 No.1 pp.57-62 (1995)
  27. "The Allowance of Idempotent of sign pattern matrices", (with S.W. Park), Comm. Korean Math. Soc. 10 (1995), No. 3, pp.561-573
  28. "A Note on generalized Fibonacci number" (with G.Y. Lee), Fibonacci Quarterly V.33 (1995) 273-278.
  29. "Column Ranks and Their Preservers of General Boolean Matrices" (with S.Z. Song), J. Korean Math. Soc. V.32 No.3, 531-540. (1995)
  30. "Evaluation on the structure of expressways of Korea using transportation matrix" (with G.Y. Lee) J. of Nat. Sci.     SungKyunKwan Univ. V.45 No.1, 33-43. (1994)
  31. "Linear Transformations that preserve the Assignment" (with L. Beasley and G.Y. Lee), Linear Algebra Its Appl., V.212/213, pp. 387-396. (1994)
  32. "Linear p(X) = X preservers over general Boolean semirings" (with L. Beasley), J. Korean Math. Society, V. 31 No.3, 353-365. (1994)
  33. "Linear Transformations that preserve the Assignment on nonnegative reals" (with G.Y. Lee), Proc. Workshops in Pure Math V. 13, part I , pp.137-146 (1993)
  34. "Sensitivity analysis on Linear Programming algorithm", J. Nat. Sci. SungKyunKwan Univ. V.44, No.2, 47-55. (1993)
  35. "A Linearization of a Free Boundary problem with the generalized Mckean kinetics" (with Y.M.Ham), J. of Nat. Sci. SungKyunKwan Univ. V.44 No. 2, 17-24.(1993)
  36. "On a Question of Kostin" (with S.W.Park), J. of Nat. Sci. SungKyunKwan Univ. V.44 No.1, 71-74. (1993)
  37. "Equivalent Factors in Gaussian Elimination and Conjugate direction Method" (with Y.H. Lee and Y.M. Ham), J. of Nat. Sci. SungKyunKwan Univ. V.44 No.1, 61-69.(1993)
  38. "Linear operators strongly preserving r-cyclic matrices over semirings" (with L. Beasley), LINEAR AND MULTILINEAR ALGEBRA, V.35, 325-338. (1993)
  39. "A Proof on a Simpler Construction of the Jordan Canonical Form", J. Nat. Sci. Sung Kyun Kwan Univ. V.43, No 1, 43-46. (1992)
  40. "Linear operators strongly preserving r-potent matrices over semirings" (with L. Beasley), LINEAR ALGEBRA AND ITS APPL. V.162-164, 589-599. (1992)
  41. "Linear operators strongly preserving polynomial equations over antinegative semirings ", Ph.D. Dissertation, Utah State University, 1991
  42. "On the generalization of the Gershgorin theorem", M.S. thesis, Utah State University, 1987

   
 


Papers Presented At Professional Meetings

  1. The 7th International Linear Algebra Society Conference, Madison, Wisconsin, June 1-7 1998.
    "Sign pattern matrices and it's related algorithm for the determination of L-matrix" (with H.G. Seol)."
  1. Invited talk at Ajou University, Suwon, May 28, 1998
    "On Qualitative Matrix Theory"
  1. 중동고 수학연구반초청강연, Nov. 15, 1997
    "행렬이론의 역사와우리 학생의역할"
  2. Fall meeting of the Korean Mathematical Society, Korea Univ., Seoul, Oct. 23-24, 1997
    "Introduction on Korean version of linear algebra practice program" (with H.G.Shin)
  3. Fall meeting of the Korean Mathematical Society, Korea Univ., Seoul, Oct. 23-24, 1997
    "Idempotency on {1,-1}-matrices" (with S.W. Park)
  4. DaeWoo Pure Mathematics Workshop, Ajou University, Suwon, July 8. 1997.
    "Linear preserver problems"
  5. Regional of the Korean Mathematical Society (Kyonggi-KangWon), InHa Univ., InChon, June 20-21, 1997
    "ATLAST Project : Education and Researches with Advanced Technique"
  6. Invited talk at Coll. of Sci. University of Suwon, April 10, 1997.
    "Matrix Theory: It's Old days and Present,
  7. Spring meeting of the Korean Mathematical Society, KyungHee Univ., Seoul, April 26, 1997
    "On an algorithm for the determination of L-matrix" (with H.K. Seol)
  8. "Multivariate Majorization strongly preserving linear operators on matrices" (with Y.H.Lee and L.B.Beasley), July 8-12, 1996
    Prague Mathematical Conference 1996, Czech Republic
  9. Fall meeting of the Korean Mathematical Society, Seoul Nat. Univ., Seoul, Oct. 26-27, 1996
    "Sign r-potent and sign-central matrices" (with G.Y. Lee)
  10. Fall meeting of the Korean Mathematical Society, Seoul Nat. Univ., Seoul, Oct. 26-27, 1996
    "Linear operators strongly preserving multivariate majorization" (with Y.H. Lee)
  11. International Workshop on Numerical Range and Numerical Radius, Hokkaido University, Sapporo, Hokkaido, Japan, Aug 5-10 1996.
    "Linear operators strongly preserving matrices whose sign-pattern require the Perron property."
  12. DaeWoo Pure Mathematics Workshop, HanRim University, ChoonCheon,
    "Linear operators strongly preserving the sign require Perron property matrices."
  13. Spring meeting of the Korean Mathematical Society, ChoongNam Nat. Univ., Taejon, April 27, 1996
    "Internet in Mathematics Research and Education"
  14. Spring meeting of the Korean Mathematical Society, ChoongNam Nat. Univ., Taejon, April 27, 1996
    "Sign patterns with minimal semipositivity and inverse nonnegativity" (with H.K. Seol and S.W. Park)
  15. Fall meeting of the Korean Mathematical Society, Pusan Nat. Univ., Pusan, Oct. 15-16, 1995
    "Sign Pattern Matrices". (with S.W. Park)
  16. Operator theory and Matrix theory Symposium, SungKyunKwan Univ. Suwon, June 13-14 1994,
    "Differential operator preservers" (with Y. M. Han)
  17. Spring meeting of the Korean Mathematical Society, KAIST, Taejon, April, 1994,
    "Linear transformations that preserves Assignment II" (with G.Y. Lee)
  18. Fall meeting of the Korean Mathematical Society, KyungPook Nat. Univ., Oct. 15-16, 1993
    "The Allowance of Idempotent of Sign Pattern Matrices". (with S.W. Park)
  19. Fall meeting of the Korean Mathematical Society, KyungPook Nat. Univ., Oct. 15-16, 1993
    "On Generalized Fibonacci Numbers".
  20. DaeWoo Pure Mathematics Workshop, Postech, Pohang, June 1993.
    "Linear transformations that preserves the Assignment on nonnegative matrices." (with G.Y. Lee)
  21. DaeWoo Pure Mathematics Workshop, Postech, Pohang, June 1993.
    "Linear Algebra and Linear preserver problems"
  22. Invited talk at BSRI of Cheju National University, April 1993.
    "On Linear preserver problems"
  23. The third International Linear Algebra Society Conference, Pensacola, Florida, March 17-20 1993.
    "Linear transformation that preserve the assignment."
  24. Spring meeting of the Korean Mathematical Society, Seoul National Univ., Apr. 24-25, 1992
    "Linear preservers over general Boolean semirings.
  25. Fall meeting of the Korean Mathematical Society, KangWon Nat. Univ., Oct. 18-19, 1991
    "Linear Operators strongly preserving the polynomial equation p(X) = X over antinegative semirings.
  26. Math. Asso. of America regional meeting, Rexburg, Idaho, April 1. 1991
    "Linear operators strongly preserving polynomials over semirings."
  27. Math. Asso. of America regional meeting, Cedar City, Utah, April 6. 1990
    "Linear operators strongly preserving r-potent and r-cyclic matrices over semirings."
  28. The 2nd International Linear Algebra Society Conference, Auburn, Alabama, March 1990.
    "Linear operators strongly preserving r-potent matrices over semirings."

 

Professional Memberships

   
 


Grants, Awards, Honors, Prizes, Etc

   
 


Professional Activities

 

Scholarly Articles 과연구보고서

  1. 이상구, "선형대수학의 과거와현재" 성대신문논단, 1998 4.20
  1. 이상구, 강옥기, 「행렬이론의 발전과정과 현재」, The Newsletter of the Korean Mathematical Society, V. 55. 20-27, 1997
  1. 이상구, "접속과 해결" 성대신문, 돌물목,1997
  2. 이상구, 「미래를살아갈 학생들을위한 수학교육」,성동수학, 창간호, pp.2-5, 중등수학교육연구회
  3. 이상구외, 「97 대입수학능력시험 (수학)」, 보고서, 국립교육 평가원,
  4. 이상구외, 「96 대입수학능력시험 (수학)」, 보고서, 국립교육 평가원,
  5. 이상구, 「대한수학회의정보를 세계와공유하자」,The Newsletter of the Korean Mathematical Society, V. 50. 11-15, 1996
  6. 이상구, 「Internet and Korean Mathematical Society」,The Newsletter of the Korean Mathematical Society, V. 47. 26-34, 1996
  7. 이상구외, "대한수학회HomePage 구성안 I, II", 대한수학회 전산위원회보고서 ,1997. 2., pp.1-35
  8. 이상구외 4인, 「작용소의 해석적 및 대수적 성질 (I, II, III)」, 교육부 BSRI-1420 보고서, pp. 1-300

   
 

Teaching (학생 배출실적):

   
 

Books

  1. Linear Algebra and Appl. (선형대수학과응용), 경문사(1998), 저서 이상구외3인
  1. Mathematics : Form and Functions, 청음사 (In prep.).역저, 이상구외 2인

   
 


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