메뉴 건너뛰기




Volumn 31, Issue 3, 2008, Pages 568-578

Perturbation schemes for passivity enforcement of delay-based transmission line macromodels

Author keywords

Hamiltonian matrices; Method of characteristics; Passivity; Perturbation; Transmission lines

Indexed keywords

HAMILTONIAN MATRICES; METHOD OF CHARACTERISTICS; PASSIVITY; PERTURBATION; TRANSMISSION LINES;

EID: 67349191566     PISSN: 15213323     EISSN: None     Source Type: Journal    
DOI: 10.1109/TADVP.2008.920642     Document Type: Article
Times cited : (23)

References (57)
  • 1
    • 0032666467 scopus 로고    scopus 로고
    • Rational approximation of frequency domain responses by vector fitting
    • Jul
    • B. Gustavsen and A. Semlyen, "Rational approximation of frequency domain responses by vector fitting," IEEE Trans. Power Del., vol. 14, no. 3, pp. 1052-1061, Jul. 1999.
    • (1999) IEEE Trans. Power Del , vol.14 , Issue.3 , pp. 1052-1061
    • Gustavsen, B.1    Semlyen, A.2
  • 2
    • 0036814282 scopus 로고    scopus 로고
    • Computer code for rational approximation of frequency dependent admittance matrices
    • Oct
    • B. Gustavsen, "Computer code for rational approximation of frequency dependent admittance matrices," IEEE Trans. Power Del., vol. 17, no. 4, pp. 1093-1098, Oct. 2002.
    • (2002) IEEE Trans. Power Del , vol.17 , Issue.4 , pp. 1093-1098
    • Gustavsen, B.1
  • 3
    • 3242810524 scopus 로고    scopus 로고
    • A robust approach for system identification in the frequency domain
    • Jul
    • B. Gustavsen and A. Semlyen, "A robust approach for system identification in the frequency domain," IEEE Trans. Power Del., vol. 19, no. 3, pp. 1167-1173, Jul. 2004.
    • (2004) IEEE Trans. Power Del , vol.19 , Issue.3 , pp. 1167-1173
    • Gustavsen, B.1    Semlyen, A.2
  • 4
    • 23144459029 scopus 로고    scopus 로고
    • Rational modeling of spectral data using orthonormal vector fitting
    • Garmisch-Partenkirchen, Germany, May 10-13
    • D. Deschrijver and T. Dhaene, "Rational modeling of spectral data using orthonormal vector fitting," in Proc. 9th IEEE Workshop Signal Propagation Interconnects, Garmisch-Partenkirchen, Germany, May 10-13, 2005, pp. 111-114.
    • (2005) Proc. 9th IEEE Workshop Signal Propagation Interconnects , pp. 111-114
    • Deschrijver, D.1    Dhaene, T.2
  • 5
    • 34249789846 scopus 로고    scopus 로고
    • Orthonormal vector fitting: A robust macromodeling tool for rational approximation of frequency domain responses
    • May
    • D. Deschrijver, B. Haegeman, and T. Dhaene, "Orthonormal vector fitting: A robust macromodeling tool for rational approximation of frequency domain responses," IEEE Trans. Adv. Packag., vol. 30, no. 2, pp. 216-225, May 2007.
    • (2007) IEEE Trans. Adv. Packag , vol.30 , Issue.2 , pp. 216-225
    • Deschrijver, D.1    Haegeman, B.2    Dhaene, T.3
  • 6
    • 33645827783 scopus 로고    scopus 로고
    • Improving the convergence of vector fitting in presence of noise
    • Feb
    • S. Grivet-Talocia and M. Bandinu, "Improving the convergence of vector fitting in presence of noise," IEEE Trans. Electromagn. Compat., vol. 48, no. 1, pp. 104-120, Feb. 2006.
    • (2006) IEEE Trans. Electromagn. Compat , vol.48 , Issue.1 , pp. 104-120
    • Grivet-Talocia, S.1    Bandinu, M.2
  • 7
    • 0031246687 scopus 로고    scopus 로고
    • Accurate frequency-domain modeling and efficient circuit simulation of high-speed packaging interconnects
    • Oct
    • W. Beyene and J. Schutt-Ainé, "Accurate frequency-domain modeling and efficient circuit simulation of high-speed packaging interconnects," IEEE Trans. Microw. Theory Tech., vol. 45, no. 10, pp. 1941-1947, Oct. 1997.
    • (1997) IEEE Trans. Microw. Theory Tech , vol.45 , Issue.10 , pp. 1941-1947
    • Beyene, W.1    Schutt-Ainé, J.2
  • 8
    • 0001095016 scopus 로고    scopus 로고
    • Development of model libraries for embedded passives using network synthesis
    • Apr
    • K. L. Choi and M. Swaminathan, "Development of model libraries for embedded passives using network synthesis," IEEE Trans. Circuits Syst. II, vol. 47, no. 4, pp. 249-260, Apr. 2000.
    • (2000) IEEE Trans. Circuits Syst. II , vol.47 , Issue.4 , pp. 249-260
    • Choi, K.L.1    Swaminathan, M.2
  • 9
    • 0033703502 scopus 로고    scopus 로고
    • Pole-residue formulation for transient simulation of high-frequency interconnects using householder LS curve-fitting techniques
    • Mar
    • M. Elzinga, K. Virga, L. Zhao, and J. L. Prince, "Pole-residue formulation for transient simulation of high-frequency interconnects using householder LS curve-fitting techniques," IEEE Trans. Comp. Packag. Manufact. Technol., vol. 23, no. 2, pp. 142-147, Mar. 2000.
    • (2000) IEEE Trans. Comp. Packag. Manufact. Technol , vol.23 , Issue.2 , pp. 142-147
    • Elzinga, M.1    Virga, K.2    Zhao, L.3    Prince, J.L.4
  • 10
    • 0034271748 scopus 로고    scopus 로고
    • Improve global rational approximation macromodeling algorithm for networks characterized by frequency-sampled data
    • Sep
    • M. Elzinga, K. Virga, and J. L. Prince, "Improve global rational approximation macromodeling algorithm for networks characterized by frequency-sampled data," IEEE Trans. Microw. Theory Tech., vol. 48, no. 9, pp. 1461-1467, Sep. 2000.
    • (2000) IEEE Trans. Microw. Theory Tech , vol.48 , Issue.9 , pp. 1461-1467
    • Elzinga, M.1    Virga, K.2    Prince, J.L.3
  • 12
    • 67349285410 scopus 로고    scopus 로고
    • IdEM 2.4 [Online]. Available: http://www.emc.polito.it
    • IdEM 2.4 [Online]. Available: http://www.emc.polito.it
  • 13
    • 0000518308 scopus 로고    scopus 로고
    • Simulation of high-speed interconnects
    • May
    • M. Nakhla and R. Achar, "Simulation of high-speed interconnects," Proc. IEEE, vol. 89, no. 5, pp. 693-728, May 2001.
    • (2001) Proc. IEEE , vol.89 , Issue.5 , pp. 693-728
    • Nakhla, M.1    Achar, R.2
  • 15
    • 0034239242 scopus 로고    scopus 로고
    • Efficient passive circuit models for distributed networks with frequency-dependent parameters
    • Aug
    • A. Dounavis, R. Achar, and M. Nakhla, "Efficient passive circuit models for distributed networks with frequency-dependent parameters," IEEE Trans. Adv. Packag., vol. 23, no. 3, pp. 382-392, Aug. 2000.
    • (2000) IEEE Trans. Adv. Packag , vol.23 , Issue.3 , pp. 382-392
    • Dounavis, A.1    Achar, R.2    Nakhla, M.3
  • 16
    • 0035475618 scopus 로고    scopus 로고
    • A general class of passive macromodels for lossy multiconductor transmission lines
    • Oct
    • A. Dounavis, R. Achar, and M. Nakhla, "A general class of passive macromodels for lossy multiconductor transmission lines," IEEE Trans. Microw. Theory Tech., vol. 49, no. 10, pp. 1686-1696, Oct. 2001.
    • (2001) IEEE Trans. Microw. Theory Tech , vol.49 , Issue.10 , pp. 1686-1696
    • Dounavis, A.1    Achar, R.2    Nakhla, M.3
  • 17
    • 0032777380 scopus 로고    scopus 로고
    • Passive multipoint moment matching model order reduction algorithm on multiport distributed interconnect networks
    • Jan
    • Q. Yu, J. M. L. Wang, and E. S. Kuh, "Passive multipoint moment matching model order reduction algorithm on multiport distributed interconnect networks," IEEE Trans. Circuits Syst. I, vol. 46, no. 1, pp. 140-160, Jan. 1999.
    • (1999) IEEE Trans. Circuits Syst. I , vol.46 , Issue.1 , pp. 140-160
    • Yu, Q.1    Wang, J.M.L.2    Kuh, E.S.3
  • 18
    • 13944270986 scopus 로고    scopus 로고
    • DEPACT: Delay extraction-based passive compact transmission-line macromodeling algorithm
    • Feb
    • N. M. Nakhla, A. Dounavis, R. Achar, and M. S. Nakhla, "DEPACT: Delay extraction-based passive compact transmission-line macromodeling algorithm," IEEE Trans. Adv. Packag., vol. 28, no. 1, pp. 13-23, Feb. 2005.
    • (2005) IEEE Trans. Adv. Packag , vol.28 , Issue.1 , pp. 13-23
    • Nakhla, N.M.1    Dounavis, A.2    Achar, R.3    Nakhla, M.S.4
  • 19
    • 84872522181 scopus 로고
    • Transient analysis of lossless transmission lines
    • Nov
    • F. H. Branin Jr., "Transient analysis of lossless transmission lines," Proc. IEEE, vol. 55, no. 11, pp. 2012-2013, Nov. 1967.
    • (1967) Proc. IEEE , vol.55 , Issue.11 , pp. 2012-2013
    • Branin Jr., F.H.1
  • 20
    • 0019392472 scopus 로고
    • Coupled lossy transmission line characterization and simulation
    • Jan
    • A. J. Gruodis and C. S. Chang, "Coupled lossy transmission line characterization and simulation," IBM J. Res. Develop., vol. 25, pp. 25-41, Jan. 1981.
    • (1981) IBM J. Res. Develop , vol.25 , pp. 25-41
    • Gruodis, A.J.1    Chang, C.S.2
  • 21
    • 0024882124 scopus 로고
    • The generalized method of characteristics for waveform relaxation analysis of lossy coupled transmission lines
    • Dec
    • F. Y. Chang, "The generalized method of characteristics for waveform relaxation analysis of lossy coupled transmission lines," IEEE Trans. Microw. Theory Tech., vol. 37, no. 12, pp. 2028-2038, Dec. 1989.
    • (1989) IEEE Trans. Microw. Theory Tech , vol.37 , Issue.12 , pp. 2028-2038
    • Chang, F.Y.1
  • 22
    • 0026944320 scopus 로고
    • Transient simulation of lossy interconnects based on the recursive convolution formulation
    • Nov
    • S. Lin and E. S. Kuh, "Transient simulation of lossy interconnects based on the recursive convolution formulation," IEEE Trans. Circuits Syst. I, vol. 39, no. 11, pp. 879-892, Nov. 1992.
    • (1992) IEEE Trans. Circuits Syst. I , vol.39 , Issue.11 , pp. 879-892
    • Lin, S.1    Kuh, E.S.2
  • 23
    • 0030084070 scopus 로고    scopus 로고
    • Optimal transient simulation of transmission lines
    • Feb
    • D. B. Kuznetsov and J. E. Schutt-Ainé, "Optimal transient simulation of transmission lines," IEEE Trans. Circuits Syst. I, vol. 43, no. 2, pp. 110-121, Feb. 1996.
    • (1996) IEEE Trans. Circuits Syst. I , vol.43 , Issue.2 , pp. 110-121
    • Kuznetsov, D.B.1    Schutt-Ainé, J.E.2
  • 24
    • 2442568806 scopus 로고    scopus 로고
    • Transient analysis of lossy transmission lines: An efficient approach based on the method of characteristics
    • Feb
    • S. Grivet-Talocia, H. M. Huang, A. E. Ruehli, F. Canavero, and I. M. Elfadel, "Transient analysis of lossy transmission lines: An efficient approach based on the method of characteristics," IEEE Trans. Adv. Packag., vol. 27, no. 1, pp. 45-56, Feb. 2004.
    • (2004) IEEE Trans. Adv. Packag , vol.27 , Issue.1 , pp. 45-56
    • Grivet-Talocia, S.1    Huang, H.M.2    Ruehli, A.E.3    Canavero, F.4    Elfadel, I.M.5
  • 25
    • 1242308409 scopus 로고    scopus 로고
    • A convex programming approach for generating guaranteed passive approximations to tabulated frequency-data
    • Feb
    • C. P. Coelho, J. Phillips, and L. M. Silveira, "A convex programming approach for generating guaranteed passive approximations to tabulated frequency-data," IEEE Trans. Comput.-Aided Design Integr. Circuits Syst., vol. 23, no. 2, pp. 293-301, Feb. 2004.
    • (2004) IEEE Trans. Comput.-Aided Design Integr. Circuits Syst , vol.23 , Issue.2 , pp. 293-301
    • Coelho, C.P.1    Phillips, J.2    Silveira, L.M.3
  • 26
    • 84945253078 scopus 로고    scopus 로고
    • Enforcing bounded realness of S parameter through trace parameterization
    • Princeton, NJ, Oct. 27-29
    • H. Chen and J. Fang, "Enforcing bounded realness of S parameter through trace parameterization," in Proc. Electr. Performance Electron. Packag., Princeton, NJ, Oct. 27-29, 2003, pp. 291-294.
    • (2003) Proc. Electr. Performance Electron. Packag , pp. 291-294
    • Chen, H.1    Fang, J.2
  • 27
    • 0036540837 scopus 로고    scopus 로고
    • Parameterization of positive-real transfer functions with fixed poles
    • Apr
    • B. Dumitrescu, "Parameterization of positive-real transfer functions with fixed poles," IEEE Trans. Circuits Syst. I, vol. 49, no. 4, pp. 523-526, Apr. 2002.
    • (2002) IEEE Trans. Circuits Syst. I , vol.49 , Issue.4 , pp. 523-526
    • Dumitrescu, B.1
  • 28
    • 0242678474 scopus 로고    scopus 로고
    • Enforcing passivity of macromodels via spectral perturbation of hamiltonian matrices
    • Siena, Italy, May 11-14
    • S. Grivet-Talocia, "Enforcing passivity of macromodels via spectral perturbation of hamiltonian matrices," in Proc. 7th IEEE Workshop Signal Propagation Interconnects, Siena, Italy, May 11-14, 2003, pp. 33-36.
    • (2003) Proc. 7th IEEE Workshop Signal Propagation Interconnects , pp. 33-36
    • Grivet-Talocia, S.1
  • 29
    • 0035248249 scopus 로고    scopus 로고
    • Enforcing passivity for admittance matrices approximated by rational functions
    • Feb
    • B. Gustavsen and A. Semlyen, "Enforcing passivity for admittance matrices approximated by rational functions," IEEE Trans. Power Syst., vol. 16, no. 1, pp. 97-104, Feb. 2001.
    • (2001) IEEE Trans. Power Syst , vol.16 , Issue.1 , pp. 97-104
    • Gustavsen, B.1    Semlyen, A.2
  • 30
    • 34249807011 scopus 로고    scopus 로고
    • Computed code for passivity enforcement of rational macromodels by residue perturbation
    • May
    • B. Gustavsen, "Computed code for passivity enforcement of rational macromodels by residue perturbation," IEEE Trans. Adv. Packag., vol. 30, no. 2, pp. 209-215, May 2007.
    • (2007) IEEE Trans. Adv. Packag , vol.30 , Issue.2 , pp. 209-215
    • Gustavsen, B.1
  • 31
    • 2442622556 scopus 로고    scopus 로고
    • Enforcing passivity for rational function based macromodels of tabulated data
    • Princeton, NJ, Oct. 27-29
    • D. Saraswat, R. Achar, and M. Nakhla, "Enforcing passivity for rational function based macromodels of tabulated data," in Proc. Electr. Performance Electron. Packag., Princeton, NJ, Oct. 27-29, 2003, pp. 295-298.
    • (2003) Proc. Electr. Performance Electron. Packag , pp. 295-298
    • Saraswat, D.1    Achar, R.2    Nakhla, M.3
  • 32
    • 2442417853 scopus 로고    scopus 로고
    • A fast algorithm and practical considerations for passive macromodeling of measured/simulated data
    • Feb
    • D. Saraswat, R. Achar, and M. Nakhla, "A fast algorithm and practical considerations for passive macromodeling of measured/simulated data," IEEE Trans. Comp., Packag. Manuf. Technol., vol. 27, no. 1, pp. 57-70, Feb. 2004.
    • (2004) IEEE Trans. Comp., Packag. Manuf. Technol , vol.27 , Issue.1 , pp. 57-70
    • Saraswat, D.1    Achar, R.2    Nakhla, M.3
  • 33
    • 27644469408 scopus 로고    scopus 로고
    • Global passivity enforcement algorithm for macromodels of interconnect subnetworks characterized by tabulated data
    • Jul
    • D. Saraswat, R. Achar, and M. Nakhla, "Global passivity enforcement algorithm for macromodels of interconnect subnetworks characterized by tabulated data," IEEE Trans. Very Large Scale Integr. Syst., vol. 13, no. 7, pp. 819-832, Jul. 2005.
    • (2005) IEEE Trans. Very Large Scale Integr. Syst , vol.13 , Issue.7 , pp. 819-832
    • Saraswat, D.1    Achar, R.2    Nakhla, M.3
  • 34
    • 4744344975 scopus 로고    scopus 로고
    • Passivity enforcement via perturbation of hamiltonian matrices
    • Sep
    • S. Grivet-Talocia, "Passivity enforcement via perturbation of hamiltonian matrices," IEEE Trans. Circuits Syst. I, vol. 51, no. 9, pp. 1755-1769, Sep. 2004.
    • (2004) IEEE Trans. Circuits Syst. I , vol.51 , Issue.9 , pp. 1755-1769
    • Grivet-Talocia, S.1
  • 35
    • 32444438037 scopus 로고    scopus 로고
    • On the generation of large passive macromodels for complex interconnect structures
    • Feb
    • S. Grivet-Talocia and A. Ubolli, "On the generation of large passive macromodels for complex interconnect structures," IEEE Trans. Adv. Packag., vol. 29, no. 1, pp. 39-54, Feb. 2006.
    • (2006) IEEE Trans. Adv. Packag , vol.29 , Issue.1 , pp. 39-54
    • Grivet-Talocia, S.1    Ubolli, A.2
  • 36
    • 33845868480 scopus 로고    scopus 로고
    • Improving the efficiency of passivity compensation schemes via adaptive sampling
    • Austin, TX, Oct. 24-26
    • S. Grivet-Talocia, "Improving the efficiency of passivity compensation schemes via adaptive sampling," in Proc. 14th IEEE Topical Meeting Electr. Performance Electron. Packag., Austin, TX, Oct. 24-26, 2005, pp. 231-234.
    • (2005) Proc. 14th IEEE Topical Meeting Electr. Performance Electron. Packag , pp. 231-234
    • Grivet-Talocia, S.1
  • 37
    • 34249786557 scopus 로고    scopus 로고
    • An adaptive sampling technique for passivity characterization and enforcement of large interconnect macromodels
    • May
    • S. Grivet-Talocia, "An adaptive sampling technique for passivity characterization and enforcement of large interconnect macromodels," IEEE Trans. Adv. Packag., vol. 30, no. 2, pp. 226-237, May 2007.
    • (2007) IEEE Trans. Adv. Packag , vol.30 , Issue.2 , pp. 226-237
    • Grivet-Talocia, S.1
  • 39
    • 36649024365 scopus 로고    scopus 로고
    • Passivity enforcement with relative error control
    • Nov
    • S. Grivet-Talocia and A. Ubolli, "Passivity enforcement with relative error control," IEEE Trans. Microw. Theory Tech., vol. 55, no. 11, pp. 2374-2383, Nov. 2007.
    • (2007) IEEE Trans. Microw. Theory Tech , vol.55 , Issue.11 , pp. 2374-2383
    • Grivet-Talocia, S.1    Ubolli, A.2
  • 41
    • 36649021723 scopus 로고    scopus 로고
    • Fast passivity enforcement of rational macromodels by perturbation of residue matrix eigenvalues
    • Genova, Italy, May 13-16
    • B. Gustavsen, "Fast passivity enforcement of rational macromodels by perturbation of residue matrix eigenvalues," in 11th IEEE Workshop Signal Propagation Interconnects, Genova, Italy, May 13-16, 2007, pp. 71-74.
    • (2007) 11th IEEE Workshop Signal Propagation Interconnects , pp. 71-74
    • Gustavsen, B.1
  • 43
    • 33847782926 scopus 로고    scopus 로고
    • Equivalent SPICE circuits with guaranteed passivity from nonpassive models
    • Mar
    • A. Lamecki and M. Mrozowski, "Equivalent SPICE circuits with guaranteed passivity from nonpassive models," IEEE Trans. Microw. Theory Tech. vol. 55, no. 3, pp. 526-532, Mar. 2007.
    • (2007) IEEE Trans. Microw. Theory Tech , vol.55 , Issue.3 , pp. 526-532
    • Lamecki, A.1    Mrozowski, M.2
  • 45
    • 27644516098 scopus 로고    scopus 로고
    • Passivity verification in delay-based macromodels of electrical interconnects
    • Oct
    • E. Gad, C. Chen, M. Nakhla, and R. Achar, "Passivity verification in delay-based macromodels of electrical interconnects," IEEE Trans. Circuits Syst. I, vol. 52, no. 10, pp. 2173-2187, Oct. 2005.
    • (2005) IEEE Trans. Circuits Syst. I , vol.52 , Issue.10 , pp. 2173-2187
    • Gad, E.1    Chen, C.2    Nakhla, M.3    Achar, R.4
  • 46
    • 34249812939 scopus 로고    scopus 로고
    • Passivity verification in delay-based macromodels of multiconductor electrical interconnects
    • May
    • C. Chen, E. Gad, M. Nakhla, and R. Achar, "Passivity verification in delay-based macromodels of multiconductor electrical interconnects," IEEE Trans. Adv. Packag., vol. 30, no. 2, pp. 246-256, May 2007.
    • (2007) IEEE Trans. Adv. Packag , vol.30 , Issue.2 , pp. 246-256
    • Chen, C.1    Gad, E.2    Nakhla, M.3    Achar, R.4
  • 47
    • 34547790208 scopus 로고    scopus 로고
    • A passivity enforcement scheme for delay-based transmission line macromodels
    • Aug
    • A. Chinea and S. Grivet-Talocia, "A passivity enforcement scheme for delay-based transmission line macromodels," IEEE Microw. Wireless Compon. Lett., vol. 17, no. 8, pp. 562-564, Aug. 2007.
    • (2007) IEEE Microw. Wireless Compon. Lett , vol.17 , Issue.8 , pp. 562-564
    • Chinea, A.1    Grivet-Talocia, S.2
  • 48
    • 47149094875 scopus 로고    scopus 로고
    • Generation of passive macromodels for lossy multiconductor transmission lines
    • presented at the, Munich, Germany, Sep. 24-28
    • A. Chinea and S. Grivet-Talocia, "Generation of passive macromodels for lossy multiconductor transmission lines," presented at the 18th Int. Zurich Symp. Electromagn. Compat., Munich, Germany, Sep. 24-28, 2007.
    • (2007) 18th Int. Zurich Symp. Electromagn. Compat
    • Chinea, A.1    Grivet-Talocia, S.2
  • 49
    • 34547355106 scopus 로고    scopus 로고
    • Efficient passive transmission line macromodeling algorithm using method of characteristics
    • May
    • V. A. Pothiwala and A. Dounavis, "Efficient passive transmission line macromodeling algorithm using method of characteristics," in Proc. IEEE Int. Symp. Circuits Syst. (ISCAS), May 2006, pp. 1780-1783.
    • (2006) Proc. IEEE Int. Symp. Circuits Syst. (ISCAS) , pp. 1780-1783
    • Pothiwala, V.A.1    Dounavis, A.2
  • 50
    • 0021410793 scopus 로고
    • Multiconductor transmission lines in multilayered delectric media
    • Apr
    • C. Wei, R. F. Harrington, J. R. Mautz, and T. Sarkar, "Multiconductor transmission lines in multilayered delectric media," IEEE Trans. Microw. Theor. Tech., vol. MTT-32, no. 4, pp. 439-450, Apr. 1984.
    • (1984) IEEE Trans. Microw. Theor. Tech , vol.MTT-32 , Issue.4 , pp. 439-450
    • Wei, C.1    Harrington, R.F.2    Mautz, J.R.3    Sarkar, T.4
  • 51
    • 0035475871 scopus 로고    scopus 로고
    • Systematic development of transmission-line models for interconnects with frequency-dependent losses
    • Oct
    • K. M. Coperich, J. Morsey, V. I. Okhmatovski, A. C. Cangellaris, and A. E. Ruehli, "Systematic development of transmission-line models for interconnects with frequency-dependent losses," IEEE Trans. Microw. Theory Tech., vol. 49, no. 10, pp. 1677-1685, Oct. 2001.
    • (2001) IEEE Trans. Microw. Theory Tech , vol.49 , Issue.10 , pp. 1677-1685
    • Coperich, K.M.1    Morsey, J.2    Okhmatovski, V.I.3    Cangellaris, A.C.4    Ruehli, A.E.5
  • 53
    • 0018011435 scopus 로고
    • Kronecker products and matrix calculus in system theory
    • Sep
    • J. W. Brewer, "Kronecker products and matrix calculus in system theory," IEEE Trans. Circuits Syst., vol. CS-25, no. 9, pp. 772-781, Sep. 1978.
    • (1978) IEEE Trans. Circuits Syst , vol.CS-25 , Issue.9 , pp. 772-781
    • Brewer, J.W.1
  • 54
  • 55
    • 0141968029 scopus 로고
    • Polynomial solvability of convex quadratic programming
    • M. K. Kozlov, S. P. Tarasov, and L. G. Khachiyan, "Polynomial solvability of convex quadratic programming," Dokl. Akad. Nauk SSSR vol. 5, pp. 1051-1053, 1979.
    • (1979) Dokl. Akad. Nauk SSSR , vol.5 , pp. 1051-1053
    • Kozlov, M.K.1    Tarasov, S.P.2    Khachiyan, L.G.3
  • 57
    • 67349282854 scopus 로고    scopus 로고
    • HAPACK, Software for (Skew-)Hamiltonian Eigenvalue Problems, Online, Available
    • HAPACK - Software for (Skew-)Hamiltonian Eigenvalue Problems. [Online]. Available: http://www.tu-chemnitz.de/mathematik/hapack/


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.