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Volumn 5, Issue , 1996, Pages 149-190

Eigenvalue optimization

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EID: 0042602157     PISSN: 09624929     EISSN: 14740508     Source Type: Journal    
DOI: 10.1017/S0962492900002646     Document Type: Article
Times cited : (207)

References (92)
  • 2
    • 0003169116 scopus 로고
    • Interior point methods in semidefinite programming with applications to combinatorial optimization
    • Alizadeh F. (1995), ‘Interior point methods in semidefinite programming with applications to combinatorial optimization’, SIAM J. Optim. 5, 13–51.
    • (1995) SIAM J. Optim. , vol.5 , pp. 13-51
    • Alizadeh, F.1
  • 3
    • 0031141136 scopus 로고    scopus 로고
    • Complementarity and nondegeneracy in semidefinite programming
    • (Series B). To appear.
    • Alizadeh F., Haeberly J.-P. A. and Overton M. L. (1996 a), ‘Complementarity and nondegeneracy in semidefinite programming’, Mathematical Programming (Series B). To appear.
    • (1996) Mathematical Programming
    • Alizadeh, F.1    Haeberly, J.-P.A.2    Overton, M.L.3
  • 5
    • 0011336089 scopus 로고
    • On the geometry of the unit ball of unitary matrix spaces
    • Arazy J. (1981), ‘On the geometry of the unit ball of unitary matrix spaces’, Integral Equations and Operator Theory 4, 151–171.
    • (1981) Integral Equations and Operator Theory , vol.4 , pp. 151-171
    • Arazy, J.1
  • 9
    • 0013201951 scopus 로고
    • On systems of linear inequalities in Hermitian matrix variables
    • American Mathematical Society, Providence, Proceedings of Symposia in Pure Mathematics VII.
    • Bellman R. and Fan K. (1963), On systems of linear inequalities in Hermitian matrix variables, in Convexity, American Mathematical Society, Providence, pp. 1–11. Proceedings of Symposia in Pure Mathematics VII.
    • (1963) Convexity , pp. 1-11
    • Bellman, R.1    Fan, K.2
  • 11
    • 0001960253 scopus 로고
    • Differential properties of the spectral abscissa and the spectral radius for analytic matrix–valued mappings
    • Burke J. V. and Overton M. L. (1994), ‘Differential properties of the spectral abscissa and the spectral radius for analytic matrix–valued mappings’, Nonlinear Analysis, Theory, Methods and Applications 23, 467–488.
    • (1994) Nonlinear Analysis, Theory, Methods and Applications , vol.23 , pp. 467-488
    • Burke, J.V.1    Overton, M.L.2
  • 13
    • 33745551765 scopus 로고
    • The shape of the ideal column
    • Cox S. J. (1992), ‘The shape of the ideal column’, Mathematical Intelligencer 14, 16–31.
    • (1992) Mathematical Intelligencer , vol.14 , pp. 16-31
    • Cox, S.J.1
  • 16
    • 0001066943 scopus 로고
    • The optimal design of columns against buckling
    • Cox S. J. and Overton M. L. (1992), ‘The optimal design of columns against buckling’, SIAM J. Math. Anal. 23, 287–325.
    • (1992) SIAM J. Math. Anal. , vol.23 , pp. 287-325
    • Cox, S.J.1    Overton, M.L.2
  • 17
    • 0030269056 scopus 로고    scopus 로고
    • Perturbing the critically damped wave equation
    • To appear.
    • Cox S. J. and Overton M. L. (1996), ‘Perturbing the critically damped wave equation’, SIAM J. Math. Anal. To appear.
    • (1996) SIAM J. Math. Anal.
    • Cox, S.J.1    Overton, M.L.2
  • 19
    • 0016624432 scopus 로고
    • The minimization of certain nondifferentiable sums of eigenvalues of symmetric matrices
    • Cullum J., Donath W. E. and Wolfe P. (1975), ‘The minimization of certain nondifferentiable sums of eigenvalues of symmetric matrices’, Mathematical Programming Study 3, 35–55.
    • (1975) Mathematical Programming Study , vol.3 , pp. 35-55
    • Cullum, J.1    Donath, W.E.2    Wolfe, P.3
  • 20
  • 21
    • 0011376467 scopus 로고
    • All convex invariant functions of Hermitian matrices
    • Davis C. (1957), ‘All convex invariant functions of Hermitian matrices’, Archiv der Mathematik 8, 276–278.
    • (1957) Archiv der Mathematik , vol.8 , pp. 276-278
    • Davis, C.1
  • 22
    • 0011364748 scopus 로고
    • Exposed faces and duality for symmetric and unitarily invariant norms
    • 198
    • de Sá E. M. (1994 a), ‘Exposed faces and duality for symmetric and unitarily invariant norms’, Linear Algebra and its Applications 197,198, 429–450.
    • (1994) Linear Algebra and its Applications , vol.197 , pp. 429-450
    • de Sá, E.M.1
  • 23
    • 43949152335 scopus 로고
    • Faces and traces of the unit ball of a symmetric gauge function
    • 198
    • de Sá E. M. (1994 b), ‘Faces and traces of the unit ball of a symmetric gauge function’, Linear Algebra and its Applications 197,198, 349–395.
    • (1994) Linear Algebra and its Applications , vol.197 , pp. 349-395
    • de Sá, E.M.1
  • 24
    • 0040304729 scopus 로고
    • Faces of the unit ball of a unitarily invariant norm
    • 198
    • de Sá E. M. (1994 c), ‘Faces of the unit ball of a unitarily invariant norm’, Linear Algebra and its Applications 197,198, 451–493.
    • (1994) Linear Algebra and its Applications , vol.197 , pp. 451-493
    • de Sá, E.M.1
  • 27
    • 0001350119 scopus 로고
    • Algebraic connectivity of graphs
    • Fiedler M. (1973), ‘Algebraic connectivity of graphs’, Czech. Math. Journal 23, 298–305.
    • (1973) Czech. Math. Journal , vol.23 , pp. 298-305
    • Fiedler, M.1
  • 28
    • 0021459322 scopus 로고
    • Semi-definite constraints in optimization
    • Fletcher R. (1985), ‘Semi-definite constraints in optimization’, SIAM J. Control Optim. 23, 493–513.
    • (1985) SIAM J. Control Optim. , vol.23 , pp. 493-513
    • Fletcher, R.1
  • 29
    • 84964316606 scopus 로고
    • A new variational result for quasi-Newton formulae
    • Fletcher R. (1991), ‘A new variational result for quasi-Newton formulae’, SIAM J. Optim. 1, 18–21.
    • (1991) SIAM J. Optim. , vol.1 , pp. 18-21
    • Fletcher, R.1
  • 31
    • 0023366336 scopus 로고
    • The formulation and analysis of numerical methods for inverse eigenvalue problems
    • Friedland S., Nocedal J. and Overton M. L. (1987), ‘The formulation and analysis of numerical methods for inverse eigenvalue problems’, SIAM J. Numer. Anal. 24, 634–667.
    • (1987) SIAM J. Numer. Anal. , vol.24 , pp. 634-667
    • Friedland, S.1    Nocedal, J.2    Overton, M.L.3
  • 32
    • 85022733639 scopus 로고    scopus 로고
    • Improved Approximation Algorithms for Maximum Cut and Satisfiability Problems Using Semidefinite Programming
    • To appear.
    • Goemans M. X. and Williamson D. P. (1996), ‘Improved Approximation Algorithms for Maximum Cut and Satisfiability Problems Using Semidefinite Programming’, J. Assoc. Comput. Mach. To appear.
    • (1996) J. Assoc. Comput. Mach.
    • Goemans, M.X.1    Williamson, D.P.2
  • 33
    • 0026876871 scopus 로고
    • Path-following methods for linear programming
    • Gonzaga C. C. (1992), ‘Path-following methods for linear programming’, SIAM Review 34, 167–224.
    • (1992) SIAM Review , vol.34 , pp. 167-224
    • Gonzaga, C.C.1
  • 37
    • 21844488492 scopus 로고
    • Sensitivity analysis of all eigenvalues of a symmetric matrix
    • Hirriart-Urruty J.-B. and Ye D. (1995), ‘Sensitivity analysis of all eigenvalues of a symmetric matrix’, Numer. Math. 70, 45–72.
    • (1995) Numer. Math. , vol.70 , pp. 45-72
    • Hirriart-Urruty, J.-B.1    Ye, D.2
  • 40
    • 51249181779 scopus 로고
    • A new polynomial time algorithm for linear programming
    • Karmarkar N. (1984), ‘A new polynomial time algorithm for linear programming’, Combinatorica 4, 373–395.
    • (1984) Combinatorica , vol.4 , pp. 373-395
    • Karmarkar, N.1
  • 41
    • 78650722662 scopus 로고
    • An interior-point approach to a tensor optimization problem with application to upper bounds in integer quadratic optimization problems
    • (Balas E., Cornuejils G. and Kannan R., eds), Proceedings of a conference held at Carnegie Mellon University by the Math. Programming Society.
    • Karmarkar N. and Thakur S. (1992), An interior-point approach to a tensor optimization problem with application to upper bounds in integer quadratic optimization problems, in Integer Programming and Combinatorial Optimization (Balas E., Cornuejils G. and Kannan R., eds), pp. 406–419. Proceedings of a conference held at Carnegie Mellon University by the Math. Programming Society.
    • (1992) Integer Programming and Combinatorial Optimization , pp. 406-419
    • Karmarkar, N.1    Thakur, S.2
  • 42
    • 0348229480 scopus 로고
    • The shape of the ideal column reconsidered
    • Kirmser P. G. and Hu K.-K. (1993), ‘The shape of the ideal column reconsidered’, Mathematical Intelligencer 15, 62–67.
    • (1993) Mathematical Intelligencer , vol.15 , pp. 62-67
    • Kirmser, P.G.1    Hu, K.-K.2
  • 45
    • 0039119760 scopus 로고
    • The convex analysis of unitarily invariant functions
    • Lewis A. S. (1995 a), ‘The convex analysis of unitarily invariant functions’, J. Convex Anal. 2, 173–183.
    • (1995) J. Convex Anal. , vol.2 , pp. 173-183
    • Lewis, A.S.1
  • 46
    • 0006460081 scopus 로고
    • (b), Technical Report CORR 95–22, University of Waterloo. Submitted to Linear Algebra and its Applications.
    • Lewis A. S. (1995 b), Eigenvalue-constrained faces. Technical Report CORR 95–22, University of Waterloo. Submitted to Linear Algebra and its Applications.
    • (1995) Eigenvalue-constrained faces
    • Lewis, A.S.1
  • 48
    • 0030304775 scopus 로고    scopus 로고
    • Convex analysis on the Hermitian matrices
    • (a)
    • Lewis A. S. (1996 a), ’Convex analysis on the Hermitian matrices‘, SIAM J. Optim. 6, 164–177.
    • (1996) SIAM J. Optim. , vol.6 , pp. 164-177
    • Lewis, A.S.1
  • 50
    • 0030518228 scopus 로고    scopus 로고
    • Group invariance and convex matrix analysis
    • To appear.
    • Lewis A. S. (1996 c), ‘Group invariance and convex matrix analysis’, SIAM J. Matrix Anal. Appl. To appear.
    • (1996) SIAM J. Matrix Anal. Appl.
    • Lewis, A.S.1
  • 51
    • 0001662422 scopus 로고
    • Interior point methods for linear programming: Computational state of the art
    • Lustig I. J., Marsten R. E. and Shanno D. F. (1994), ‘Interior point methods for linear programming: Computational state of the art’, ORSA Journal on Computing 6, 1–14.
    • (1994) ORSA Journal on Computing , vol.6 , pp. 1-14
    • Lustig, I.J.1    Marsten, R.E.2    Shanno, D.F.3
  • 54
    • 84972492753 scopus 로고
    • An analogue of Moreau's proximation theorem with applications to nonlinear complementarity problems
    • McLinden L. (1980), ‘An analogue of Moreau's proximation theorem with applications to nonlinear complementarity problems’, Pacific Journal of Mathematics pp. 101–161.
    • (1980) Pacific Journal of Mathematics , pp. 101-161
    • McLinden, L.1
  • 56
    • 0001478211 scopus 로고
    • Eigenvalues in combinatorial optimization
    • (Brualdi R., Friedland S. and Klee V., eds), Springer. IMA Volumes in Mathematics and its Applications
    • Mohar B. and Poljak S. (1993), Eigenvalues in combinatorial optimization, in Combinatorial and graph-theoretic problems in linear algebra (Brualdi R., Friedland S. and Klee V., eds), Vol. 50, Springer. IMA Volumes in Mathematics and its Applications.
    • (1993) Combinatorial and graph-theoretic problems in linear algebra , vol.50
    • Mohar, B.1    Poljak, S.2
  • 57
    • 0024665752 scopus 로고
    • Interior path-following primal-dual algorithms: Part I: Linear programming
    • Monteiro R. and Adler I. (1989), ‘Interior path-following primal-dual algorithms: Part I: Linear programming’, Mathematical Programming 44, 27–41.
    • (1989) Mathematical Programming , vol.44 , pp. 27-41
    • Monteiro, R.1    Adler, I.2
  • 58
    • 85022616541 scopus 로고
    • On the Lidskii–Vishik–Lyusternik perturbation theory for eigenvalues of matrices with arbitrary Jordan structure
    • Technical Report 710, NYU Comp. Sci. Dept. Submitted to
    • Moro J., Burke J. V. and Overton M. L. (1995), On the Lidskii–Vishik–Lyusternik perturbation theory for eigenvalues of matrices with arbitrary Jordan structure. Technical Report 710, NYU Comp. Sci. Dept. Submitted to SIAM J. Matr. Anal. Appl.
    • (1995) SIAM J. Matr. Anal. Appl.
    • Moro, J.1    Burke, J.V.2    Overton, M.L.3
  • 60
    • 0042452947 scopus 로고    scopus 로고
    • Self-scaled barriers and interior-point methods for convex programming
    • To appear
    • Nesterov Y. and Todd M. (1996), ‘Self-scaled barriers and interior-point methods for convex programming’, Mathematics of Operations Research. To appear.
    • (1996) Mathematics of Operations Research
    • Nesterov, Y.1    Todd, M.2
  • 61
    • 0017426484 scopus 로고
    • On single and bimodal optimum buckling loads of clamped columns
    • Olhoff N. and Rasmussen S. (1977), ‘On single and bimodal optimum buckling loads of clamped columns’, Int. J. Solids Struct. 9, 605–614.
    • (1977) Int. J. Solids Struct. , vol.9 , pp. 605-614
    • Olhoff, N.1    Rasmussen, S.2
  • 62
    • 0003991797 scopus 로고
    • Academic Press, New York and London. Reprinted by SIAM, Philadelphia, 1990
    • Ortega J. M. (1972), Numerical Analysis: A Second Course, Academic Press, New York and London. Reprinted by SIAM, Philadelphia, 1990.
    • (1972) Numerical Analysis: A Second Course
    • Ortega, J.M.1
  • 63
    • 0001110772 scopus 로고
    • On minimizing the maximum eigenvalue of a symmetric matrix
    • Overton M. L. (1988), ‘On minimizing the maximum eigenvalue of a symmetric matrix’, SIAM J. Matrix Anal. Appl. 9, 256–268.
    • (1988) SIAM J. Matrix Anal. Appl. , vol.9 , pp. 256-268
    • Overton, M.L.1
  • 64
    • 0003181133 scopus 로고
    • Large-scale optimization of eigenvalues
    • Overton M. L. (1992), ‘Large-scale optimization of eigenvalues’, SIAM J. Optim. 2, 88–120.
    • (1992) SIAM J. Optim. , vol.2 , pp. 88-120
    • Overton, M.L.1
  • 65
    • 0346019287 scopus 로고
    • On minimizing the spectral radius of a nonsymmetric matrix function – optimality conditions and duality theory
    • Overton M. L. and Womersley R. S. (1988), ‘On minimizing the spectral radius of a nonsymmetric matrix function – optimality conditions and duality theory’, SIAM J. Matrix Anal. Appl. 9, 473–498.
    • (1988) SIAM J. Matrix Anal. Appl. , vol.9 , pp. 473-498
    • Overton, M.L.1    Womersley, R.S.2
  • 66
    • 34250080273 scopus 로고
    • Optimality conditions and duality theory for minimizing sums of the largest eigenvalues of symmetric matrices
    • Overton M. L. and Womersley R. S. (1993), ‘Optimality conditions and duality theory for minimizing sums of the largest eigenvalues of symmetric matrices’, Mathematical Programming 62, 321–357.
    • (1993) Mathematical Programming , vol.62 , pp. 321-357
    • Overton, M.L.1    Womersley, R.S.2
  • 67
    • 21844489704 scopus 로고
    • Second derivatives for optimizing eigenvalues of symmetric matrices
    • Overton M. L. and Womersley R. S. (1995), ‘Second derivatives for optimizing eigenvalues of symmetric matrices’, SIAM J. Matrix Anal. Appl. 16, 697–718.
    • (1995) SIAM J. Matrix Anal. Appl. , vol.16 , pp. 697-718
    • Overton, M.L.1    Womersley, R.S.2
  • 68
    • 0042338416 scopus 로고
    • On the rank of extreme matrices in semidefinite programs and the multiplicity of optimal eigenvalues
    • Technical Report MSRR-604 (revised), Graduate School of Industrial Administration, Carnegie–Mellon University. Submitted to
    • Pataki G. (1995), On the rank of extreme matrices in semidefinite programs and the multiplicity of optimal eigenvalues. Technical Report MSRR-604 (revised), Graduate School of Industrial Administration, Carnegie–Mellon University. Submitted to Math. of Operations Research.
    • (1995) Math. of Operations Research
    • Pataki, G.1
  • 71
    • 0009969726 scopus 로고    scopus 로고
    • Graph partitioning algorithms in scientific computing
    • (Keyes D., Sameh A. and Venkatakrishnan V., eds), Kluwer. To appear
    • Pothen A. (1996), Graph partitioning algorithms in scientific computing, in Parallel Numerical Algorithms (Keyes D., Sameh A. and Venkatakrishnan V., eds), Kluwer. To appear.
    • (1996) Parallel Numerical Algorithms
    • Pothen, A.1
  • 72
    • 0026679912 scopus 로고
    • Applications of parametric programming and eigenvalue maximization to the quadratic assignment problem
    • Rendl F. and Wolkowicz H. (1992), ‘Applications of parametric programming and eigenvalue maximization to the quadratic assignment problem’, Mathematical Programming 53, 63–78.
    • (1992) Mathematical Programming , vol.53 , pp. 63-78
    • Rendl, F.1    Wolkowicz, H.2
  • 74
    • 84943793147 scopus 로고    scopus 로고
    • Eigenvalues in optimum structural design
    • (Conn A. R., Biegler L. T., Coleman T. F. and Santosa F., eds). To appear.
    • Ringertz U. T. (1996), Eigenvalues in optimum structural design, in Proceedings of an IMA workshop on Large-Scale Optimization (Conn A. R., Biegler L. T., Coleman T. F. and Santosa F., eds). To appear.
    • (1996) Proceedings of an IMA workshop on Large-Scale Optimization
    • Ringertz, U.T.1
  • 75
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton University
    • Rockafellar R. T. (1970), Convex Analysis, Princeton University Press, Princeton University.
    • (1970) Convex Analysis
    • Rockafellar, R.T.1
  • 76
    • 0000091855 scopus 로고
    • A version of the bundle idea for minimizing a nonsmooth function: conceptual idea, convergence analysis, numerical results
    • Schramm H. and Zowe J. (1992), ‘A version of the bundle idea for minimizing a nonsmooth function: conceptual idea, convergence analysis, numerical results’, SIAM J. Optim. 2, 121–152.
    • (1992) SIAM J. Optim. , vol.2 , pp. 121-152
    • Schramm, H.1    Zowe, J.2
  • 77
    • 0031529488 scopus 로고    scopus 로고
    • Convex analysis of spectrally-defined matrix functions
    • To appear.
    • Seeger A. (1996), ‘Convex analysis of spectrally-defined matrix functions’, SIAM J. Optim. To appear.
    • (1996) SIAM J. Optim.
    • Seeger, A.1
  • 78
    • 0040942304 scopus 로고    scopus 로고
    • First and second order analysis of nonlinear semidefinite programs
    • (Series B). To appear.
    • Shapiro A. (1996), ‘First and second order analysis of nonlinear semidefinite programs’, Mathematical Programming (Series B). To appear.
    • (1996) Mathematical Programming
    • Shapiro, A.1
  • 79
    • 0000496360 scopus 로고
    • On eigenvalue optimization
    • Shapiro A. and Fan M. K. H. (1995), ‘On eigenvalue optimization’, SIAM J. Optim. 3, 552–568.
    • (1995) SIAM J. Optim. , vol.3 , pp. 552-568
    • Shapiro, A.1    Fan, M.K.H.2
  • 80
    • 85024509578 scopus 로고
    • Strongest columns and isoperimetric inequalities for eigenvalues
    • Tadjbakhsh I. and Keller J. B. (1962), ‘Strongest columns and isoperimetric inequalities for eigenvalues’, J. Appl. Mech. 29, 159–164.
    • (1962) J. Appl. Mech. , vol.29 , pp. 159-164
    • Tadjbakhsh, I.1    Keller, J.B.2
  • 83
    • 85022682614 scopus 로고
    • Private communication.
    • Tunçel L. (1995). Private communication.
    • (1995)
    • Tunçel, L.1
  • 84
    • 0029338589 scopus 로고
    • Primal-dual potential reduction method for problems involving matrix inequalities
    • Vandenberghe L. and Boyd S. (1995), ‘Primal-dual potential reduction method for problems involving matrix inequalities’, Mathematical Programming (Series B) 69, 205–236.
    • (1995) Mathematical Programming (Series B) , vol.69 , pp. 205-236
    • Vandenberghe, L.1    Boyd, S.2
  • 85
    • 0030106462 scopus 로고    scopus 로고
    • Semidefinite programming
    • Vandenberghe L. and Boyd S. (1996), ‘Semidefinite programming’, SIAM Review 38, 49–95.
    • (1996) SIAM Review , vol.38 , pp. 49-95
    • Vandenberghe, L.1    Boyd, S.2
  • 86
    • 0011336092 scopus 로고
    • Characterization of the subdifferential of some matrix norms
    • Watson G. A. (1992), ‘Characterization of the subdifferential of some matrix norms’, Linear Algebra and its Applications 170, 33–45.
    • (1992) Linear Algebra and its Applications , vol.170 , pp. 33-45
    • Watson, G.A.1
  • 87
    • 84971922797 scopus 로고
    • Interior methods for constrained optimization
    • Cambridge University Press, UK
    • Wright M. H. (1992), Interior methods for constrained optimization, in Acta Numerica, Cambridge University Press, UK, pp. 341–407.
    • (1992) Acta Numerica , pp. 341-407
    • Wright, M.H.1
  • 88
    • 0039014262 scopus 로고
    • Stability of linear equations solvers in interior-point methods
    • Wright S. J. (1995), ‘Stability of linear equations solvers in interior-point methods’, SIAM J. Matrix Anal. Appl. 16, 1287–1307.
    • (1995) SIAM J. Matrix Anal. Appl. , vol.16 , pp. 1287-1307
    • Wright, S.J.1
  • 89
    • 0000153479 scopus 로고
    • A superlinearly convergent polynomial primal-dual interior-point algorithm for linear programming
    • Zhang Y. and Tapia R. A. (1993), ‘A superlinearly convergent polynomial primal-dual interior-point algorithm for linear programming’, SIAM J. Optim. 3, 118–133.
    • (1993) SIAM J. Optim. , vol.3 , pp. 118-133
    • Zhang, Y.1    Tapia, R.A.2
  • 90
    • 0000195638 scopus 로고
    • On the superlinear and quadratic convergence of primal-dual interior point linear programming algorithms
    • Zhang Y., Tapia R. A. and Dennis J. E. (1992), ‘On the superlinear and quadratic convergence of primal-dual interior point linear programming algorithms’, SIAM J. Optim. 2, 304–324.
    • (1992) SIAM J. Optim. , vol.2 , pp. 304-324
    • Zhang, Y.1    Tapia, R.A.2    Dennis, J.E.3
  • 91
    • 33747712347 scopus 로고
    • On the characterization of the extremal points of the unit sphere of matrices
    • Ziȩtak K. (1988), ‘On the characterization of the extremal points of the unit sphere of matrices’, Linear Algebra and its Applications 106, 57–75.
    • (1988) Linear Algebra and its Applications , vol.106 , pp. 57-75
    • Ziȩtak, K.1
  • 92
    • 0011375032 scopus 로고
    • Subdifferentials, faces and dual matrices
    • Ziȩtak K. (1993), ‘Subdifferentials, faces and dual matrices’, Linear Algebra and its Applications 185, 125–141.
    • (1993) Linear Algebra and its Applications , vol.185 , pp. 125-141
    • Ziȩtak, K.1


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