Asso. Professor 　　　　　　Lee, Sang-Gu

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

• Research Area : Matrix Theory, Algebra etc.
• Education and Academic Experience
• Academic Activity
• Publications (Scholarly Papers, 논문)
• Papers Presented At Professional Meetings
• Grants, Awards, Honors, Prizes, etc.
• Professional Activities
• Personal Information
• Dr. Lee's Classrooms(Linear algebra, Fall-Cyber 98)
• (math1100, Spring 99)
• Parents Pictures;
• SKKU Math. Dept.
• USU Math. Dept.
• Willam & Mary Math Dept.
• Good Links in Math (Jour)
• Korea Info. Links 　

Click where you want to look over. 　Enjoy your visit Also I added some pictures of us.
　 　

My Family Pictures

Research area

• Research topics : Matrix Theory, Combinatorial Matrix Theory, Qualitative Matrix Theory, Linear Algebra, Algebra etc

Education and Academic Experience

Academic Experience

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

Academic Activity

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

   (교외 봉사:　열린사이버대학　 교과개발실무추진위원회 위원, 국립교육평가원 수학능력시험 출제위원,　대한수학회전산위원, 　수학올림피아드출제위원 등)

   (교내 봉사: 성대단위기관 평가위원, 정보통신원 자문위원, 장학위원, 교과과정위원등),

   　

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Publications (Scholarly Papers, 논문)"

42. "Linear Operators Strongly Preserving Multivariate Majorization " (with L. Beasley),  LAA 2000

43. "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)
42. "Linear Operators Strongly Preserving Multivariate Majorization withT(I)=I" (with L. Beasley and Y.H. Lee), kyungPook Math. Jour. 1999
41. "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.
40. On a sign pattern and it's related algorithm for L-matrix " (with H.G. Seol and Y.H. Kim), Submitted to KSIAM.
39. "Linear Algebra and our softwares" (with G.S.Cheon), 　 In preparation.
38. "Explicit spectral norm and polar decomposition of W_c-companion matrices (with J.S. Kim, G.Y. Lee and S.Z. Song) In Prep.
37. "Complex positive definite completion" (with H.G. Seol) In Prep.
36. "Sign symmetric P-matrix Completion" (with H.G. Seol), 　In Prep.
35. " A characterization of sign idempotent matrices with full sign pattern " (with L. Beasley and S.W. Park), Submitted to Bull of KMS.
34. "Matrix Theory: It's Old days and Present," (with O.K.Kang), In prep.
33. "Nonnegativity of Reducible sign idempotent matrices" (with S.W. Park) submitted to 　In prep.
32. "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.
31. "Linear Operators Strongly Preserving Multivariate Majorization " (with Y.H. Lee) Proc. Workshops in Pure Math. V. 17, part I (1997) pp.113-118.
30. "A characterization of Signpatterns with minimal semipositivity" (with H.K. Seol and S.W. Park), Comm. KMS (1998).
29. "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.
28. "Differential Operators that Preserve Differential Equations" (with S.Z.Song),　 J. of Nat. Sci. SungKyunKwan Univ. V.47 No.2 pp. 1-9 (1996)
26. "A Characterization of Strong Preservers on Multivariate Majorization", Proc. of InHa Symposium on Pure and appl. Math.,June , pp.17-30 　(1997)
25. "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)
24. "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).
23. "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).
22. "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)
21. "Linear operators strongly preserving multivariate majorization"(with Y.H. Lee), J. of Nat. Sci. SungKyunKwan Univ. V.47 No.1 pp. 1-9 (1995)
20. "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)
19. "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)
18. "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)
17. "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)
16. "The Allowance of Idempotent of sign pattern matrices", (with S.W. Park), Comm. Korean Math. Soc. 10 (1995), No. 3, pp.561-573
15. "A Note on generalized Fibonacci number" (with G.Y. Lee), Fibonacci Quarterly V.33 (1995) 273-278.
14. "Column Ranks and Their Preservers of General Boolean Matrices" (with S.Z. Song), J. Korean Math. Soc. V.32 No.3, 531-540. (1995)
13. "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)
12. "Linear Transformations that preserve the Assignment" (with L. Beasley and G.Y. Lee), Linear Algebra Its Appl., V.212/213, pp. 387-396. (1994)
11. "Linear p(X) = X preservers over general Boolean semirings" (with L. Beasley), J. Korean Math. Society, V. 31 No.3, 353-365. (1994)
10. "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)
9. "Sensitivity analysis on Linear Programming algorithm", J. Nat. Sci. SungKyunKwan Univ. V.44, No.2, 47-55. (1993)
8. "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)
7. "On a Question of Kostin" (with S.W.Park), J. of Nat. Sci. SungKyunKwan Univ. V.44 No.1, 71-74. (1993)
6. "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)
5. "Linear operators strongly preserving r-cyclic matrices over semirings" (with L. Beasley), LINEAR AND MULTILINEAR ALGEBRA, V.35, 325-338. (1993)
4. "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)
3. "Linear operators strongly preserving r-potent matrices over semirings" (with L. Beasley), LINEAR ALGEBRA AND ITS APPL. V.162-164, 589-599. (1992)
2. "Linear operators strongly preserving polynomial equations over antinegative semirings ", Ph.D. Dissertation, Utah State University, 1991
1. "On the generalization of the Gershgorin theorem", M.S. thesis, Utah State University, 1987

Papers Presented At Professional Meetings

Conferences Attended at which a paper was presented: (학술대회발표)

Univ. of Seoul 1998, Two at Cheju KMS meeting 1998, USU Oct. 1998, W&M Nov. 1998,

30. 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)."

29. Invited talk at Ajou University, Suwon, May 28, 1998
    "On Qualitative Matrix Theory"

28. 중동고 수학연구반초청강연, Nov. 15, 1997
    "행렬이론의 역사와우리 학생의역할"
27. 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)
26. Fall meeting of the Korean Mathematical Society, Korea Univ., Seoul, Oct. 23-24, 1997
    "Idempotency on {1,-1}-matrices" (with S.W. Park)
25. DaeWoo Pure Mathematics Workshop, Ajou University, Suwon, July 8. 1997.
    "Linear preserver problems"
24. Regional of the Korean Mathematical Society (Kyonggi-KangWon), InHa Univ., InChon, June 20-21, 1997
    "ATLAST Project : Education and Researches with Advanced Technique"
23. Invited talk at Coll. of Sci. University of Suwon, April 10, 1997.
    "Matrix Theory: It's Old days and Present,
22. 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)
21. "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
20. 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)
19. 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)
18. 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."
17. DaeWoo Pure Mathematics Workshop, HanRim University, ChoonCheon,
    "Linear operators strongly preserving the sign require Perron property matrices."
16. Spring meeting of the Korean Mathematical Society, ChoongNam Nat. Univ., Taejon, April 27, 1996
    "Internet in Mathematics Research and Education"
15. 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)
14. Fall meeting of the Korean Mathematical Society, Pusan Nat. Univ., Pusan, Oct. 15-16, 1995
    "Sign Pattern Matrices". (with S.W. Park)
13. Operator theory and Matrix theory Symposium, SungKyunKwan Univ. Suwon, June 13-14 1994,
    "Differential operator preservers" (with Y. M. Han)
12. Spring meeting of the Korean Mathematical Society, KAIST, Taejon, April, 1994,
    "Linear transformations that preserves Assignment II" (with G.Y. Lee)
11. 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)
10. Fall meeting of the Korean Mathematical Society, KyungPook Nat. Univ., Oct. 15-16, 1993
    "On Generalized Fibonacci Numbers".
9. DaeWoo Pure Mathematics Workshop, Postech, Pohang, June 1993.
   "Linear transformations that preserves the Assignment on nonnegative matrices." (with G.Y. Lee)
8. DaeWoo Pure Mathematics Workshop, Postech, Pohang, June 1993.
   "Linear Algebra and Linear preserver problems"
7. Invited talk at BSRI of Cheju National University, April 1993.
   "On Linear preserver problems"
6. The third International Linear Algebra Society Conference, Pensacola, Florida, March 17-20 1993.
   "Linear transformation that preserve the assignment."
5. Spring meeting of the Korean Mathematical Society, Seoul National Univ., Apr. 24-25, 1992
   "Linear preservers over general Boolean semirings.
4. 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.
3. Math. Asso. of America regional meeting, Rexburg, Idaho, April 1. 1991
   "Linear operators strongly preserving polynomials over semirings."
2. Math. Asso. of America regional meeting, Cedar City, Utah, April 6. 1990
   "Linear operators strongly preserving r-potent and r-cyclic matrices over semirings."
1. The 2nd International Linear Algebra Society Conference, Auburn, Alabama, March 1990.
   "Linear operators strongly preserving r-potent matrices over semirings."

Professional Memberships

• American Mathematical Society
• Matheamtical Association of America
• Society for Industrial and Applied Mathematics
• Korean Mathematical Society
• International Linear Algebra Society
• SIAM Special Interest Group on Linear Algebra

Grants, Awards, Honors, Prizes, Etc

• "Qualitative matrix theory", SungKyun Research Fund, SKKU, 1996. 12 - 1997. 12, \4,000,000 (S.G. Lee)
• "Analytic and Algebraic properties of operators", Basic Science Research Institute Program, Ministry of Education, Korea, Project no. BSRI-94-1420, 1994, 5.1-1995.4.30, \23,000,000 (PI: W.Y. Lee + 4)
• "Analytic and Algebraic properties of operators II", Basic Science Research Institute　　　 Program, Ministry of Education, Korea, Project no. BSRI-95-1420, 1995. 6.11-1996.6.10, \46,000,000 (PI: W.Y. Lee + 4)
• "Analytic and Algebraic properties of operators III" Basic Science Research Institute Program, Ministry of Education, Korea, Project no. BSRI-96-1420, 1996. 6.11-1997.6.10, \57,000,000, (PI: W.Y. Lee + 4)
• "Analytic and Algebraic properties of operators IV" Basic Science Research Institute Program, Ministry of Education, Korea, Project no. BSRI-97-1420 1997. 7.10-1996.7.11, \57,000,000, (PI: W.Y. Lee + 4)
• Outstanding Students Awards, Math. Dept., Utah State University, 1988
• Rocky Mountain Math. Consortium Fellowship, 1987
• "Column Ranks and Their Preservers of General Boolean Matrices", DOE, Int. Co work (국제공동연구, 연구책임자 송석준 외2인 (L. Beasley, 이상구)) 1994.5.10-1995.5.10, 2,000만원
• "Linear operators that strongly preserves the sign-central matrices" DOE (교육부, 연구책임자송석준외 3인(이상구, 이광연, 천기상)) 1995.5.10-1996.5.10,　　　　 2,000만원
• "Semiring rank preserver", DOE (교육부, 연구책임자 송석준외 3인(이상구, 이광연, 천기상)) 1997.2.10-1997.2.9, 1,600만원

Professional Activities

• Organizer of the 1998 　Combinatorial Matrix Theory Symposium, Sungkyunkwan univ. May 9-10 1998. 60 participants from 15 universities attended
• Co-organizer of the 1994 Operator and Matrix Theory Symposium, June 1994. 150 participants from 16 universities attended

Scholarly Articles 과연구보고서

10. 이상구, "선형대수학의 과거와현재" 성대신문논단, 1998 4.20

9. 이상구, 강옥기, 「행렬이론의 발전과정과 현재」, The Newsletter of the Korean Mathematical Society, V. 55. 20-27, 1997

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

Teaching (학생 배출실적):

• Produced three Ph.D. student : Dr. HanGuk Seol (1998), Dr. Se-Won Park (1996), Dr. You-Ho Lee (1996)
• Produced fourMaster's students : Mr. JinTae Kim (1999), Mr. You-Hyuk Kim (1998), Mr. Sang-Do Kim (1993), Mr. Chang-Min Hong (1995)
• Worked with PostDoc's - Prof. G.Y. Lee, Prof. G.S. Cheon, Prof. S.W. Park,
• Present 　Ph.D Students : JinSoo Kin, KyungHoon Chung, JungMo Yang
• Present 　MS Student : EunTae Kim, YoungWhan Choi 　and 　***,

Books

1. Linear Algebra and Appl. (선형대수학과응용), 경문사(1998), 저서 이상구외3인

2. Mathematics : Form and Functions, 청음사 (In prep.).역저, 이상구외 2인

Personal Information

• Birthdate : 1958. 7. 4
• Birth　 place : Seoul, Korea
• Tel　 : (82) 331-290-7025 　Present : USA 435-797-0749(o) or 6594(h)
  Fax　 : (82) 331-290-7033
• e-mail : sglee@math.usu.edu
• Hobbies　 : 여행 (Youth Hostel Member since 1977), 사진, 테니스, 바둑(충암고)