메뉴 건너뛰기




Volumn 65, Issue 1, 2003, Pages 119-137

Recent developments in CANDECOMP/PARAFAC algorithms: A critical review

Author keywords

Algorithm comparison; Overfactoring; Speed; Trilinear

Indexed keywords

ALGORITHM; ARTICLE; CALCULATION; DECOMPOSITION; EXPERIMENTAL MODEL; PRIORITY JOURNAL; SIMULATION;

EID: 0037469083     PISSN: 01697439     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0169-7439(02)00089-8     Document Type: Review
Times cited : (224)

References (61)
  • 1
    • 0034314693 scopus 로고    scopus 로고
    • Analysis of the effect of crystal size and color distribution on fluorescence measurements of solid sugar using chemometrics
    • Baunsgaard D., Munck L., Nørgaard L. Analysis of the effect of crystal size and color distribution on fluorescence measurements of solid sugar using chemometrics. Appl. Spectrosc. 54:2000;1684-1689.
    • (2000) Appl. Spectrosc. , vol.54 , pp. 1684-1689
    • Baunsgaard, D.1    Munck, L.2    Nørgaard, L.3
  • 2
    • 0001514803 scopus 로고    scopus 로고
    • Estimating rate constants and pure UV-VIS spectra of a two-step reaction using trilinear models
    • Bijlsma S., Louwerse D.J., Smilde A.K. Estimating rate constants and pure UV-VIS spectra of a two-step reaction using trilinear models. J. Chemom. 13:1999;311-329.
    • (1999) J. Chemom. , vol.13 , pp. 311-329
    • Bijlsma, S.1    Louwerse, D.J.2    Smilde, A.K.3
  • 3
    • 0030221876 scopus 로고    scopus 로고
    • Enzymatic browning of vegetables. Calibration and analysis of variance by multiway methods
    • Bro R., Heimdal H. Enzymatic browning of vegetables. Calibration and analysis of variance by multiway methods. Chemom. Intell. Lab. Syst. 34:1996;85-102.
    • (1996) Chemom. Intell. Lab. Syst. , vol.34 , pp. 85-102
    • Bro, R.1    Heimdal, H.2
  • 4
    • 0035253677 scopus 로고    scopus 로고
    • Application of quantitative chemometric analysis techniques to direct sampling mass spectrometry
    • Gardner W.P., Shaffer R.E., Girard J.E., Callahan J.H. Application of quantitative chemometric analysis techniques to direct sampling mass spectrometry. Anal. Chem. 73:2001;596-605.
    • (2001) Anal. Chem. , vol.73 , pp. 596-605
    • Gardner, W.P.1    Shaffer, R.E.2    Girard, J.E.3    Callahan, J.H.4
  • 5
    • 0033653780 scopus 로고    scopus 로고
    • Application of PARAFAC for calibration with excitation-emission matrix fluorescence spectra of three classes of environmental pollutants
    • Jiji R.D., Andersson G.G., Booksh K.S. Application of PARAFAC for calibration with excitation-emission matrix fluorescence spectra of three classes of environmental pollutants. J. Chemom. 14:2000;171-185.
    • (2000) J. Chemom. , vol.14 , pp. 171-185
    • Jiji, R.D.1    Andersson, G.G.2    Booksh, K.S.3
  • 6
    • 0035249674 scopus 로고    scopus 로고
    • Application of a multi-way method to study long-term stability in ICP-AES
    • Marcos A., Foulkes M., Hill S.J. Application of a multi-way method to study long-term stability in ICP-AES. J. Anal. At. Spectrom. 16:2001;105-114.
    • (2001) J. Anal. At. Spectrom. , vol.16 , pp. 105-114
    • Marcos, A.1    Foulkes, M.2    Hill, S.J.3
  • 7
    • 0034004265 scopus 로고    scopus 로고
    • Application of two- and three-way chemometric methods in the study of acetylsalicylic acid and ascorbic acid mixtures using ultraviolet spectrophotometry
    • Sena M.M., Fernandes J.C.B., Rover L., Poppi R.J., Kubota L.T. Application of two- and three-way chemometric methods in the study of acetylsalicylic acid and ascorbic acid mixtures using ultraviolet spectrophotometry. Anal. Chim. Acta. 409:2000;159-170.
    • (2000) Anal. Chim. Acta , vol.409 , pp. 159-170
    • Sena, M.M.1    Fernandes, J.C.B.2    Rover, L.3    Poppi, R.J.4    Kubota, L.T.5
  • 8
    • 84984317287 scopus 로고
    • A 2nd-order standard addition method with application to calibration of a kinetics-spectroscopic sensor for quantitation of trichloroethylene
    • Booksh K.S., Henshaw J.M., Burgess L.W., Kowalski B.R. A 2nd-order standard addition method with application to calibration of a kinetics-spectroscopic sensor for quantitation of trichloroethylene. J. Chemom. 9:1995;263-282.
    • (1995) J. Chemom. , vol.9 , pp. 263-282
    • Booksh, K.S.1    Henshaw, J.M.2    Burgess, L.W.3    Kowalski, B.R.4
  • 9
    • 84984368413 scopus 로고
    • Generalized rank annihilation method: I. Derivation of eigenvalue problems
    • Faber N.M., Buydens L.M.C., Kateman G. Generalized rank annihilation method: I. Derivation of eigenvalue problems. J. Chemom. 8:1994;147-154.
    • (1994) J. Chemom. , vol.8 , pp. 147-154
    • Faber, N.M.1    Buydens, L.M.C.2    Kateman, G.3
  • 10
    • 84984355817 scopus 로고
    • Generalized rank annihilation method: II. Bias and variance in the estimated eigenvalues
    • Faber N.M., Buydens L.M.C., Kateman G. Generalized rank annihilation method: II. Bias and variance in the estimated eigenvalues. J. Chemom. 8:1994;181-203.
    • (1994) J. Chemom. , vol.8 , pp. 181-203
    • Faber, N.M.1    Buydens, L.M.C.2    Kateman, G.3
  • 11
    • 84984393376 scopus 로고
    • Generalized rank annihilation: III. Practical implementation
    • Faber N.M., Buydens L.M.C., Kateman G. Generalized rank annihilation: III. Practical implementation. J. Chemom. 8:1994;273-285.
    • (1994) J. Chemom. , vol.8 , pp. 273-285
    • Faber, N.M.1    Buydens, L.M.C.2    Kateman, G.3
  • 12
    • 26444570774 scopus 로고
    • Generalized rank annihilation factor analysis
    • Sanchez E., Kowalski B.R. Generalized rank annihilation factor analysis. Anal. Chem. 58:1986;496-499.
    • (1986) Anal. Chem. , vol.58 , pp. 496-499
    • Sanchez, E.1    Kowalski, B.R.2
  • 13
    • 34250499792 scopus 로고
    • Analysis of individual differences in multidimensional scaling via an N-way generalization of 'Eckart-Young' decomposition
    • Carroll J.D., Chang J. Analysis of individual differences in multidimensional scaling via an N-way generalization of 'Eckart-Young' decomposition. Psychometrika. 35:1970;283-319.
    • (1970) Psychometrika , vol.35 , pp. 283-319
    • Carroll, J.D.1    Chang, J.2
  • 14
    • 0002740437 scopus 로고
    • Foundations of the PARAFAC procedure: Models and conditions for an 'explanatory' multi-modal factor analysis
    • Harshman R.A. Foundations of the PARAFAC procedure: models and conditions for an 'explanatory' multi-modal factor analysis. UCLA Work. Pap. Phon. 16:1970;1-84.
    • (1970) UCLA Work. Pap. Phon. , vol.16 , pp. 1-84
    • Harshman, R.A.1
  • 15
    • 0002740439 scopus 로고
    • Determination and proof of minimum uniqueness conditions for PARAFAC1
    • Harshman R.A. Determination and proof of minimum uniqueness conditions for PARAFAC1. UCLA Work. Pap. Phon. 22:1972;111-117.
    • (1972) UCLA Work. Pap. Phon. , vol.22 , pp. 111-117
    • Harshman, R.A.1
  • 16
    • 0001837391 scopus 로고
    • Rank, decomposition, and uniqueness for 3-way and N-way arrays
    • R. Coppi, & S. Bolasco. Amsterdam: Elsevier
    • Kruskal J.B. Rank, decomposition, and uniqueness for 3-way and N-way arrays. Coppi R., Bolasco S. Multiway Data Analysis. 1989;8-18 Elsevier, Amsterdam.
    • (1989) Multiway Data Analysis , pp. 8-18
    • Kruskal, J.B.1
  • 17
    • 0033653594 scopus 로고    scopus 로고
    • On the uniqueness of multilinear decomposition of N-way arrays
    • Sidiropoulos N.D., Bro R. On the uniqueness of multilinear decomposition of N-way arrays. J. Chemom. 14:2000;229-239.
    • (2000) J. Chemom. , vol.14 , pp. 229-239
    • Sidiropoulos, N.D.1    Bro, R.2
  • 18
    • 0036684326 scopus 로고    scopus 로고
    • Maximum likelihood fitting using simple least squares algorithms
    • Bro R., Sidiropoulos N.D., Smilde A.K. Maximum likelihood fitting using simple least squares algorithms. J. Chemom. 16:2002;387-400.
    • (2002) J. Chemom. , vol.16 , pp. 387-400
    • Bro, R.1    Sidiropoulos, N.D.2    Smilde, A.K.3
  • 19
    • 0031517826 scopus 로고    scopus 로고
    • Weighted least squares fitting using ordinary least squares algorithms
    • Kiers H.A.L. Weighted least squares fitting using ordinary least squares algorithms. Psychometrika. 62:1997;251-266.
    • (1997) Psychometrika , vol.62 , pp. 251-266
    • Kiers, H.A.L.1
  • 20
    • 0030813663 scopus 로고    scopus 로고
    • PARAFAC. Tutorial and applications
    • Bro R. PARAFAC. Tutorial and applications. Chemom. Intell. Lab. Syst. 38:1997;149-171.
    • (1997) Chemom. Intell. Lab. Syst. , vol.38 , pp. 149-171
    • Bro, R.1
  • 21
    • 0004050741 scopus 로고    scopus 로고
    • Multi-way analysis in the food industry
    • PhD thesis, University of Amsterdam (NL)
    • R. Bro, Multi-way analysis in the food industry. Models, Algorithms, and Applications. PhD thesis, University of Amsterdam (NL), http://www.mli.kvl.dk/staff/foodtech/brothesis.pdf, 1998.
    • (1998) Models, Algorithms, and Applications
    • Bro, R.1
  • 22
    • 0001839202 scopus 로고
    • Substituting statistical for physical decomposition: Are there application for parallel factor analysis (PARAFAC) in non-destructive evaluation
    • X.P.V. Malague. Dordrecht, The Netherlands: Kluwer Academic Publishing
    • Harshman R.A. Substituting statistical for physical decomposition: are there application for parallel factor analysis (PARAFAC) in non-destructive evaluation. Malague X.P.V. Advances in Signal Processing for Nondestructive Evaluation of Materials. 1994;469-483 Kluwer Academic Publishing, Dordrecht, The Netherlands.
    • (1994) Advances in Signal Processing for Nondestructive Evaluation of Materials , pp. 469-483
    • Harshman, R.A.1
  • 23
    • 0002258223 scopus 로고
    • The PARAFAC model for three-way factor analysis and multidimensional scaling
    • H.G. Law, C.W. Jr. Snyder, J. Hattie, & R.P. McDonald. New York: Praeger
    • Harshman R.A., Lundy M.E. The PARAFAC model for three-way factor analysis and multidimensional scaling. Law H.G., Snyder C.W. Jr., Hattie J., McDonald R.P. Research Methods for Multimode Data Analysis. 1984;122-215 Praeger, New York.
    • (1984) Research Methods for Multimode Data Analysis , pp. 122-215
    • Harshman, R.A.1    Lundy, M.E.2
  • 25
    • 0028899078 scopus 로고
    • Component resolution using multilinear models
    • Ross R.T., Leurgans S.E. Component resolution using multilinear models. Methods Enzymol. 246:1995;679-700.
    • (1995) Methods Enzymol. , vol.246 , pp. 679-700
    • Ross, R.T.1    Leurgans, S.E.2
  • 26
    • 0000421735 scopus 로고
    • Three-mode PARAFAC factor analysis in applied research
    • Snyder C.W., Walsh W.D., Pamment P.R. Three-mode PARAFAC factor analysis in applied research. J. Appl. Psychol. 68:1983;572-583.
    • (1983) J. Appl. Psychol. , vol.68 , pp. 572-583
    • Snyder, C.W.1    Walsh, W.D.2    Pamment, P.R.3
  • 27
    • 0033646780 scopus 로고    scopus 로고
    • Towards a standardized notation and terminology in multiway analysis
    • Kiers H.A.L. Towards a standardized notation and terminology in multiway analysis. J. Chemom. 14:2000;105-122.
    • (2000) J. Chemom. , vol.14 , pp. 105-122
    • Kiers, H.A.L.1
  • 30
    • 0002071636 scopus 로고    scopus 로고
    • On solving generalized eigenvalue problems using MATLAB
    • Faber N.M. On solving generalized eigenvalue problems using MATLAB. J. Chemom. 11:1997;87-91.
    • (1997) J. Chemom. , vol.11 , pp. 87-91
    • Faber, N.M.1
  • 31
    • 0000137143 scopus 로고
    • Generalized rank annihilation factor analysis, iterative target transformation factor analysis, and residual bilinearization for the quantitative analysis of data from liquid chromatography with photodiode array detection
    • Gerritsen M.J.P., Tanis H., Vandeginste B.G.M., Kateman G. Generalized rank annihilation factor analysis, iterative target transformation factor analysis, and residual bilinearization for the quantitative analysis of data from liquid chromatography with photodiode array detection. Anal. Chem. 64:1992;2042-2056.
    • (1992) Anal. Chem. , vol.64 , pp. 2042-2056
    • Gerritsen, M.J.P.1    Tanis, H.2    Vandeginste, B.G.M.3    Kateman, G.4
  • 32
    • 0027119830 scopus 로고
    • Generalized rank annihilation method using similarity transformations
    • Li S., Hamilton J.C., Gemperline P.J. Generalized rank annihilation method using similarity transformations. Anal. Chem. 64:1992;599-607.
    • (1992) Anal. Chem. , vol.64 , pp. 599-607
    • Li, S.1    Hamilton, J.C.2    Gemperline, P.J.3
  • 33
    • 0001064966 scopus 로고
    • Features of quantifying composition from two-dimensional data array by the rank annihilation factor analysis method
    • Lorber A. Features of quantifying composition from two-dimensional data array by the rank annihilation factor analysis method. Anal. Chem. 57:1985;2395-2397.
    • (1985) Anal. Chem. , vol.57 , pp. 2395-2397
    • Lorber, A.1
  • 34
    • 0002017118 scopus 로고    scopus 로고
    • An alternating trilinear decomposition algorithm with application to calibration of HPLC-DAD for simultaneous determination of overlapped chlorinated aromatic hydrocarbons
    • Wu H.L., Shibukawa M., Oguma K. An alternating trilinear decomposition algorithm with application to calibration of HPLC-DAD for simultaneous determination of overlapped chlorinated aromatic hydrocarbons. J. Chemom. 12:1998;1-26.
    • (1998) J. Chemom. , vol.12 , pp. 1-26
    • Wu, H.L.1    Shibukawa, M.2    Oguma, K.3
  • 35
    • 0034648456 scopus 로고    scopus 로고
    • A novel trilinear decomposition algorithm for second-order linear calibration
    • Chen Z.P., Wu H.L., Jiang J.H., Li Y., Yu R.Q. A novel trilinear decomposition algorithm for second-order linear calibration. Chemom. Intell. Lab. Syst. 52:2000;75-86.
    • (2000) Chemom. Intell. Lab. Syst. , vol.52 , pp. 75-86
    • Chen, Z.P.1    Wu, H.L.2    Jiang, J.H.3    Li, Y.4    Yu, R.Q.5
  • 36
    • 0034922269 scopus 로고    scopus 로고
    • On the self-weighted alternating trilinear decomposition algorithm - The property of being insensitive to excess factors used in calculation
    • Chen Z.P., Wu H.L., Yu R.Q. On the self-weighted alternating trilinear decomposition algorithm - the property of being insensitive to excess factors used in calculation. J. Chemom. 15:2001;439-453.
    • (2001) J. Chemom. , vol.15 , pp. 439-453
    • Chen, Z.P.1    Wu, H.L.2    Yu, R.Q.3
  • 37
    • 0035106980 scopus 로고    scopus 로고
    • Pseudo alternating least squares algorithm for trilinear decomposition
    • Chen Z.P., Li Y., Yu R.Q. Pseudo alternating least squares algorithm for trilinear decomposition. J. Chemom. 15:2001;149-167.
    • (2001) J. Chemom. , vol.15 , pp. 149-167
    • Chen, Z.P.1    Li, Y.2    Yu, R.Q.3
  • 38
    • 0000985079 scopus 로고    scopus 로고
    • Alternating coupled vectors resolution (ACOVER) method for trilinear analysis of three-way data
    • Jiang H.L., Wu H.L., Li Y., Yu R. Alternating coupled vectors resolution (ACOVER) method for trilinear analysis of three-way data. J. Chemom. 13:1999;557-578.
    • (1999) J. Chemom. , vol.13 , pp. 557-578
    • Jiang, H.L.1    Wu, H.L.2    Li, Y.3    Yu, R.4
  • 39
    • 0033671724 scopus 로고    scopus 로고
    • Three-way data resolution by alternating slice-wise diagonalization (ASD) method
    • Jiang J.H., Wu H.L., Li Y., Yu R.Q. Three-way data resolution by alternating slice-wise diagonalization (ASD) method. J. Chemom. 14:2000;15-36.
    • (2000) J. Chemom. , vol.14 , pp. 15-36
    • Jiang, J.H.1    Wu, H.L.2    Li, Y.3    Yu, R.Q.4
  • 40
    • 0034648381 scopus 로고    scopus 로고
    • Alternating coupled matrices resolution method for three-way arrays analysis
    • Li Y., Jiang J.H., Wu H.L., Chen Z.P., Yu R.Q. Alternating coupled matrices resolution method for three-way arrays analysis. Chemom. Intell. Lab. Syst. 52:2000;33-43.
    • (2000) Chemom. Intell. Lab. Syst. , vol.52 , pp. 33-43
    • Li, Y.1    Jiang, J.H.2    Wu, H.L.3    Chen, Z.P.4    Yu, R.Q.5
  • 41
    • 0035447407 scopus 로고    scopus 로고
    • Cramer-Rao lower bounds for low-rank decomposition of multidimensional arrays
    • Liu X.Q., Sidiropoulos N.D. Cramer-Rao lower bounds for low-rank decomposition of multidimensional arrays. IEEE Trans. Signal Process. 49:2001;2074-2086.
    • (2001) IEEE Trans. Signal Process. , vol.49 , pp. 2074-2086
    • Liu, X.Q.1    Sidiropoulos, N.D.2
  • 42
    • 0642334046 scopus 로고    scopus 로고
    • A fast non-negativity-constrained least squares algorithm
    • Bro R., de Jong S. A fast non-negativity-constrained least squares algorithm. J. Chemom. 11:1997;393-401.
    • (1997) J. Chemom. , vol.11 , pp. 393-401
    • Bro, R.1    De Jong, S.2
  • 43
    • 0000433620 scopus 로고    scopus 로고
    • Least squares algorithms under unimodality and non-negativity constraints
    • Bro R., Sidiropoulos N.D. Least squares algorithms under unimodality and non-negativity constraints. J. Chemom. 12:1998;223-247.
    • (1998) J. Chemom. , vol.12 , pp. 223-247
    • Bro, R.1    Sidiropoulos, N.D.2
  • 44
    • 0035117034 scopus 로고    scopus 로고
    • Modelling of spectroscopic batch process data using grey models to incorporate external information
    • Gurden S.P., Westerhuis J.A., Bijlsma S., Smilde A.K. Modelling of spectroscopic batch process data using grey models to incorporate external information. J. Chemom. 15:2001;101-121.
    • (2001) J. Chemom. , vol.15 , pp. 101-121
    • Gurden, S.P.1    Westerhuis, J.A.2    Bijlsma, S.3    Smilde, A.K.4
  • 45
    • 0001961387 scopus 로고
    • An application of PARAFAC to a small sample problem, demonstrating preprocessing, orthogonality constraints, and split-half diagnostic techniques
    • H.G. Law, C.W. Snyder, J.A. Hattie, & R.P. McDonald. New York: Praeger Special Studies
    • Harshman R.A., De Sarbo W.S. An application of PARAFAC to a small sample problem, demonstrating preprocessing, orthogonality constraints, and split-half diagnostic techniques. Law H.G., Snyder C.W., Hattie J.A., McDonald R.P. Research Methods for Multimode Data Analysis. 1984;602-642 Praeger Special Studies, New York.
    • (1984) Research Methods for Multimode Data Analysis , pp. 602-642
    • Harshman, R.A.1    De Sarbo, W.S.2
  • 46
    • 84976979805 scopus 로고
    • A constrained PARAFAC method for positive manifold data
    • Krijnen W.P., ten Berge J.M.F. A constrained PARAFAC method for positive manifold data. Appl. Psychol. Meas. 16:1992;295-305.
    • (1992) Appl. Psychol. Meas. , vol.16 , pp. 295-305
    • Krijnen, W.P.1    Ten Berge, J.M.F.2
  • 47
    • 0034652243 scopus 로고    scopus 로고
    • Mitigation of Rayleigh and Raman spectral interferences in multiway calibration of excitation-emission matrix fluorescence spectra
    • Jiji R.D., Booksh K.S. Mitigation of Rayleigh and Raman spectral interferences in multiway calibration of excitation-emission matrix fluorescence spectra. Anal. Chem. 72:2000;718-725.
    • (2000) Anal. Chem. , vol.72 , pp. 718-725
    • Jiji, R.D.1    Booksh, K.S.2
  • 48
    • 0030775193 scopus 로고    scopus 로고
    • A weighted non-negative least squares algorithm for three-way 'PARAFAC' factor analysis
    • Paatero P. A weighted non-negative least squares algorithm for three-way 'PARAFAC' factor analysis. Chemom. Intell. Lab. Syst. 38:1997;223-242.
    • (1997) Chemom. Intell. Lab. Syst. , vol.38 , pp. 223-242
    • Paatero, P.1
  • 50
    • 0032575985 scopus 로고    scopus 로고
    • Three-way (PARAFAC) factor analysis: Examination and comparison of alternative computational methods as applied to ill-conditioned data
    • Hopke P., Paatero P., Jia H., Ross R.T., Harshman R.A. Three-way (PARAFAC) factor analysis: examination and comparison of alternative computational methods as applied to ill-conditioned data. Chemom. Intell. Lab. Syst. 43:1998;25-42.
    • (1998) Chemom. Intell. Lab. Syst. , vol.43 , pp. 25-42
    • Hopke, P.1    Paatero, P.2    Jia, H.3    Ross, R.T.4    Harshman, R.A.5
  • 51
    • 0036080127 scopus 로고    scopus 로고
    • Exploring complex interactions in designed data using GEMANOVA. Color changes in fresh beef during storage
    • Bro R., Jakobsen M. Exploring complex interactions in designed data using GEMANOVA. Color changes in fresh beef during storage. J. Chemom. 16:2002;294-304.
    • (2002) J. Chemom. , vol.16 , pp. 294-304
    • Bro, R.1    Jakobsen, M.2
  • 53
    • 0002549412 scopus 로고
    • Data preprocessing and the extended PARAFAC model
    • H.G. Law, C.W. Jr. Snyder, J. Hattie, & R.P. McDonald. New York: Praeger
    • Harshman R.A., Lundy M.E. Data preprocessing and the extended PARAFAC model. Law H.G., Snyder C.W. Jr., Hattie J., McDonald R.P. Research Methods for Multimode Data Analysis. 1984;216-284 Praeger, New York.
    • (1984) Research Methods for Multimode Data Analysis , pp. 216-284
    • Harshman, R.A.1    Lundy, M.E.2
  • 54
    • 85190314196 scopus 로고
    • Tensorial resolution: A direct trilinear decomposition
    • Sanchez E., Kowalski B.R. Tensorial resolution: a direct trilinear decomposition. J. Chemom. 4:1990;29-45.
    • (1990) J. Chemom. , vol.4 , pp. 29-45
    • Sanchez, E.1    Kowalski, B.R.2
  • 55
    • 2142666573 scopus 로고    scopus 로고
    • Second-order calibration based on alternating trilinear decomposition: A comparison with the traditional PARAFAC algorithm
    • Wu H.L., Shibukawa M., Oguma K. Second-order calibration based on alternating trilinear decomposition: a comparison with the traditional PARAFAC algorithm. Anal. Sci. 13:1997;53-58.
    • (1997) Anal. Sci. , vol.13 , pp. 53-58
    • Wu, H.L.1    Shibukawa, M.2    Oguma, K.3
  • 56
    • 0000916944 scopus 로고    scopus 로고
    • Three-way multivariate calibration procedures applied to high-performance liquid chromatography coupled with fast-scanning fluorescence spectrometry detection. Determination of polycyclic aromatic hydrocarbons in water samples
    • Beltran J.L., Guiteras J., Ferrer R. Three-way multivariate calibration procedures applied to high-performance liquid chromatography coupled with fast-scanning fluorescence spectrometry detection. Determination of polycyclic aromatic hydrocarbons in water samples. Anal. Chem. 70:1998;1949-1955.
    • (1998) Anal. Chem. , vol.70 , pp. 1949-1955
    • Beltran, J.L.1    Guiteras, J.2    Ferrer, R.3
  • 58
    • 0022723652 scopus 로고
    • Error propagation and figures of merit for quantification by solving matrix equations
    • Lorber A. Error propagation and figures of merit for quantification by solving matrix equations. Anal. Chem. 58:1986;1167-1172.
    • (1986) Anal. Chem. , vol.58 , pp. 1167-1172
    • Lorber, A.1
  • 60
    • 0033275630 scopus 로고    scopus 로고
    • The multilinear engine - A table-driven, least squares program for solving multilinear problems, including the N-way parallel factor analysis model
    • Paatero P. The multilinear engine - a table-driven, least squares program for solving multilinear problems, including the N-way parallel factor analysis model. J. Comput. Graph. Stat. 8:1999;854-888.
    • (1999) J. Comput. Graph. Stat. , vol.8 , pp. 854-888
    • Paatero, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.