@string{laa = "Lin. Alg. Appl."}
@string{sissc = "SIAM J. Sci. Stat. Comp."}
@string{sisc = "SIAM J. Sci. Comp."}
@string{etna = "Electronic Trans. Num. Anal."}
@article{r1,
  author = {Ruhe, Axel},
  title = {Eigenvalues of a complex matrix by the {QR}-method},
  journal = {BIT},
  volume = {6},
  pages = {350-358},
  year = {1966},
  key = {r1} }
@article{r2,
  author = {Ruhe, A},
  title = {On the quadratic convergence of the {J}acobi method for normal matrices},
  journal = {BIT},
  volume = {7},
  pages = {305-313},
  year = {1967},
  key = {r2} }
@article{r3,
  author = {Ruhe, A},
  title = {On the quadratic convergence of a generalization of the  {J}acobi method to arbitrary matrices},
  journal = {BIT},
  volume = {8},
  pages = {210-231},
  year = {1968},
  key = {r3} }
@article{r4,
  author = {Ruhe, A},
  title = {The norm of a matrix after a similarity transformation},
  journal = {BIT},
  volume = {9},
  pages = {53-58},
  year = {1969},
  key = {r4} }
@article{r5,
  author = {Ruhe, A},
  title = {Properties of a matrix with a very ill-conditioned eigenproblem},
  journal = {Num.Math},
  volume = {15},
  pages = {57-60},
  year = {1970},
  key = {r5} }
@article{r6,
  author = {Ruhe, Axel},
  title = {An algorithm for numerical determination of the structure of a general matrix},
  journal = {BIT},
  volume = {10},
  pages = {196-216},
  year = {1970},
  key = {r6} }
@article{r7,
  author = {Ruhe, A},
  title = {Perturbation bounds for means of eigenvalues and invariant subspaces},
  journal = {BIT},
  volume = {10},
  pages = {343-354},
  year = {1970},
  key = {r7} }
@phdthesis{r8,
  author = {Ruhe, A},
  title = {Algorithms for the nonsymmetric algebraic eigenvalue problem},
  journal = {PhD},
  year = {1970},
  school  = {Lund University},
  address = {Lund, Sweden},
  key = {r8} }
@article{r9,
  author = {Ruhe, A},
  title = {Algorithms for the nonlinear algebraic eigenvalue problem},
  journal = {SIAM J. Num. Anal},
  volume = {10},
  pages = {674-689},
  year = {1973},
  key = {r9} }
@article{r10,
  author = {Ruhe, A and Wiberg, T},
  title = {The method of conjugate gradients used in inverse iteration},
  journal = {BIT},
  volume = {12},
  pages = {543-554},
  year = {1972},
  key = {r10} }
@inproceedings{r11,
  author = {Ruhe, A},
  title = {Iterative eigenvalue algorithms for large symmetric matrices},
  volume = {24},
  pages = {97-115},
  year = {1974},
  booktitle = {Eigenwertprobleme, ISNM 24},
  publisher = {Birkh\"{a}user Verlag Basel und Stuttgart},
  editor = {L. Collatz and K. P. Hadeler},
  key = {r11} }
@article{r12,
  author = {Ruhe, A},
  title = {{SOR}-methods for the eigenvalue problem of large sparse matrices},
  journal = {Math.Comp},
  volume = {28},
  pages = {695-710},
  year = {1974},
  key = {r12} }
@article{r13,
  author = {Ruhe, A},
  title = {On the closeness of eigenvalues and singular values for almost normal matrices},
  journal = {Lin. Alg. Appl.},
  volume = {11},
  pages = {87-93},
  year = {1975},
  key = {r13} }
@article{r14,
  author = {Ruhe, A},
  title = {Iterative eigenvalue algorithms based on convergent splittings},
  journal = {Journal of Comp. Physics},
  volume = {19},
  pages = {110-120},
  year = {1975},
  key = {r14} }
@article{r15,
  author = {Ruhe, A and Wedin, P.\AA{}},
  title = {Algorithms for separable nonlinear least squares problems},
  journal = {SIAM Review},
  volume = {22},
  pages = {318-337},
  year = {1980},
  key = {r15} }
@techreport{r16,
  author = {Ruhe, A},
  title = {Numerical computation of principal components when several observations are missing},
  volume = {48},
  year = {1974},
  publisher = {Ume\aa{} Universitet},
  institution = {UMINF-48},
  address = {Ume\aa{}},
  key = {r16} }
@article{r18,
  author = {K\aa{}gstr\"{o}m,  B and Ruhe, A},
  title = {An algorithm for numerical computation of the {J}ordan normal form of a complex matrix},
  journal = {ACM Trans on Math. Software},
  volume = {6},
  pages = {398-419 (report) 437-443 (algorithm)},
  year = {1980},
  key = {r18} }
@inproceedings{Ru76,
  author = {Ruhe, A},
  title = {Numerical methods for the solution of large sparse eigenvalue problems},
  pages = {130-184},
  year = {1976},
  booktitle = {Sparse Matrix Techniques, Lect Notes Math 572},
  publisher = {Springer Berlin-Heidelberg-New York},
  editor = {V.A Barker},
  key = {r19} }
@article{r20,
  author = {Ruhe, A},
  title = {Implementation Aspects of Band {L}anczos Algorithms for Computation of Eigenvalues of Large Sparse Symmetric Matrices},
  journal = {Math. Comp},
  volume = {33},
  pages = {680-687},
  year = {1979},
  key = {r20} }
@article{r21,
  author = {Ruhe, A},
  title = {Accelerated {G}auss-{N}ewton Algorithms for Nonlinear Least Squares Problems},
  journal = {BIT},
  volume = {19},
  pages = {356-367},
  year = {1979},
  key = {r21} }
@article{r22,
  author = {Ruhe, A},
  title = {The Relation Between the {J}acobi Algorithm and Inverse Iteration and a {J}acobi Algorithm Based on Elementary Reflections},
  journal = {BIT},
  volume = {20},
  pages = {88-96},
  year = {1980},
  key = {r22} }
@article{r23,
  author = {Ruhe, A},
  title = {Eigenvalues in an {APL} environment, an algorithm based on {R}ayleigh Quotient Iteration},
  journal = { {APL} {Q}uote {Q}uad 10, 3},
  pages = {29-30},
  year = {1980},
  key = {r23} }
@techreport{r24,
  author = {Ruhe, A},
  title = {A universal elimination scheme for generalized linear least squares problems with equality constraints},
  volume = {UMINF},
  year = {1979},
  institution = { UMINF-74},
  key = {r24} }
@article{r25,
  author = {Ruhe, A},
  title = {Fitting empirical data by positive sums of exponentials},
  journal = sissc,
  volume = {1},
  pages = {481-498},
  year = {1980},
  key = {r25} }
@inproceedings{r26,
  author = {Ruhe, A},
  title = {Fitting empirical data by positive sums of exponentials},
  pages = {622-628},
  year = {1980},
  booktitle = {COMPSTAT, Edinburgh},
  publisher = {Physica-Verlag, Vienna},
  editor = {M.M. Barrit and D. Wishart},
  key = {r26} }
@article{r27,
  author = {Ericsson, T and Ruhe, A},
  title = {The spectral Transformation {L}anczos method for the numerical solution of large sparse generalized symmetric eigenvalue problems.},
  journal = {Math Comp},
  volume = {35},
  pages = {1251-1268},
  year = {1980},
  key = {r27} }
@techreport{r28,
  author = {Ruhe, A},
  title = {Mathematical Software for Linear Algebra Computations},
  pages = {1-15},
  year = {1982},
  institution = {UMINF-95},
  key = {r28} }
@techreport{r29,
  author = {Thomas Ericsson and Axel Ruhe},
  title = {{STLM} -- a software package for the Spectral Transformation {Lanczos} algorithm},
  pages = {1-32},
  year = {1982},
  institution = {UMINF-101},
  key = {r29} }
@inproceedings{Ru82,
  author = {Ruhe, Axel},
  title = {The Two-sided {A}rnoldi Algorithm for Nonsymmetric Eigenvalue Problems},
  pages = {104-120},
  year = {1983},
  booktitle = {Matrix Pencils, LNM 973},
  publisher = {Springer-Verlag, Berlin Heidelberg New York},
  editor = {B. K{\aa}gstr\"{o}m and A. Ruhe},
  key = {Ru82} }
@article{r31,
  author = {S. Wold and A. Ruhe and H. Wold and W.J. Dunn},
  title = {The collinearity problem in linear regression. The partial least squares ({PLS}) approach to generalized inverses},
  journal = sissc,
  volume = {5},
  pages = {735-743},
  year = {1984},
  key = {r31} }
@article{r32,
  author = {Ruhe, Axel},
  title = {Numerical Aspects of {G}ram-{S}chmidt Orthogonalization of Vectors},
  journal = laa,
  volume = {52/53},
  pages = {591-601},
  year = {1983},
  key = {r32} }
@article{Ru84,
  author = {Ruhe, Axel},
  title = {Rational {K}rylov Sequence Methods for Eigenvalue Computation},
  journal = laa,
  volume = {58},
  pages = {391-405},
  year = {1984},
  publisher = {Elsevier Science Publishing Co.,Inc},
  key = {Ru84} }
@inproceedings{r34,
  author = {Yong Feng Zhou and Axel Ruhe},
  title = {NUMERICAL PATH FOLLOWING AND EIGENVALUE CRITERIA FOR BRANCH SWITCHING},
  pages = {121-142},
  year = {1986},
  booktitle = {Large Scale Eigenvalue Problems},
  publisher = {Elsevier Science Publishers B.V. (North-Holland)},
  editor = {J. Cullum and R.A. Willoughby},
  key = {r34} }
@inproceedings{r35,
  author = {L. Andersson and K. Holmstr\"{o}m and A. Ruhe},
  title = {Complex formation constants -- a problem from solution chemistry},
  pages = {557-572},
  year = {1987},
  booktitle = {Algorithms for approximation},
  publisher = {Clarendon Press, Oxford},
  editor = {J.C. Mason and M.G. Cox},
  key = {r35} }
@article{r36,
  author = {Thomas Ericsson and Axel Ruhe},
  title = {{L}anczos Algorithms and Field of Value Rotations for Symmetric Matrix Pencils},
  journal = laa,
  volume = {88/89},
  pages = {733-746},
  year = {1987},
  key = {r36} }
@article{r37,
  author = {Axel Ruhe},
  title = {CLOSEST NORMAL MATRIX FINALLY FOUND!},
  journal = {BIT},
  volume = {27},
  pages = {585-598},
  year = {1987},
  key = {r37} }
@article{HuiR90,
  author = {J. Huitfeldt and A. Ruhe},
  title = {A new algorithm for numerical path following applied to an example from hydrodynamical flow},
  journal = sissc,
  volume = {11},
  pages = {1181-1192},
  year = {1990},
  key = {HuiR90} }
@inproceedings{Ru90v,
  author = {Ruhe, Axel},
  title = {Showing eigenvalues on the {R}iemann sphere},
  booktitle= {Visualization and analysis of scientific and technical 
       computations on high-performance computers},
  editor = {Bo K{\aa}gstr{\"o}m},
  publisher = {University of Ume\aa, Report UMINF-191.90},
  year = {1990},
  pages = {136-141}
}
@inproceedings{Ru92m,
  author = {Ruhe, Axel},
  title = {Rational {K}rylov algorithms for nonsymmetric Eigenvalue problems},
  booktitle= {Recent Advances in Iterative Methods, 
    IMA Volumes in Mathematics and its Applications 60},
  editor = {G. Golub and A. Greenbaum and M. Luskin},
  publisher = {Springer-Verlag, New York},
  year = {1994},
  pages = {149-164}
}
@article{Ru92l,
  author = {Ruhe, Axel},
  title = {Rational {K}rylov algorithms for nonsymmetric Eigenvalue problems,
{II}: Matrix pairs},
  journal = laa,
  volume = {197/198},
  pages = {283-296},
  year = {1994}
}
@inproceedings{Ru93s,
  author = {Ruhe, Axel},
  title = {The {R}ational {K}rylov algorithm for Generalized Eigenvalue problems},
  pages = {105-112},
  editor = {Jiang Er-xiong},
  booktitle= {Proceedings of '92 {S}hanghai International Numerical Algebra and its Applications Conference},
  publisher = {China Science and Technology Press},
  year = {1994}
}
@article{Ru94f,
  author = {Ruhe, Axel},
  title = {The {R}ational {K}rylov algorithm for nonsymmetric 
      Eigenvalue problems. {III}: Complex shifts for real matrices},
  journal = {BIT},
  volume = {34},
  pages = {165-176},
  year = {1994}
}
@inproceedings{Ru94g,
  author = {Ruhe, Axel},
  title = {The {R}ational {K}rylov algorithm for large nonsymmetric 
      eigenvalues -- mapping the resolvent norms (pseudospectrum)},
  booktitle = { Talk given at Sparse Days at St Girons, July 10-16},
  year = {1994}
}
@techreport{Ru95b,
  author = {Ruhe, Axel},
  title = {Rational {K}rylov, a practical algorithm for large sparse
nonsymmetric matrix pencils},
  pages = {1-16},
  year = {1995},
  number = {UCB/CSD-95-871},
  institution = {Dept Computer Science, University of California
		  Berkeley, accepted for publication in SISC}
 }

@techreport{RuHT95,
  author = {Ruhe, Axel},
  title = {Showing the progress of the {R}ational {K}rylov algorithm},
  pages = {1-15},
  year = {1995},
  institution = {Dept Computer Science, University of California
		  Berkeley, Available as hypertext at 
     {\tt http://http.cs.berkeley.edu/~ruhe/}}
 }
@manual{Ru95m,
		  title = {Partial Differential  Equation Toolbox for
		  use with Matlab},
		  organization = {The Math Works Inc.},
		  year = {1995}
}
@article{Ru95h,
  author = {Ruhe, Axel},
  title = { Computing nonlinear eigenvalues with spectral
		  transformation {A}rnoldi},
  journal = "Z. angew. Math. Mech.",
  volume = "76 S2",		  
  pages = {17-20},
  year = {1996}
}
@inproceedings{Ru95t,
  author = {Z. Bai and D. Day and J. Demmel and J. Dongarra and  
    M. Gu and A. Ruhe and H. van der Vorst},
  title = {Templates for Linear Algebra Algorithms
},
  EDITOR = {Jan van Leeuwen }, 
         BOOKTITLE = { Computer Science Today:
                       Recent Trends }, 
                  SERIES = {Lecture Notes in Computer Science, No. 1000}, 
                  YEAR = {1995}, 
                  PAGES = {115-140}
}
@inproceedings{Ru96p,
  author = {Ruhe, Axel},
  title = {The {R}ational {K}rylov for nonlinear
      eigenvalues},
  booktitle = { Talk at the Householder XIII conference,
		  Pontresina, Switzerland, June 17-21},
  year = {1996}
}
@article{Ru98s,
  author = {Ruhe, Axel},
  title = {Rational {K}rylov, a practical algorithm for large sparse
nonsymmetric matrix pencils},
  journal = sisc,
  volume = {19},
  pages = {1535-1551},
  year = {1998}
}
@techreport{Ru98e,
  author = {Ruhe, Axel},
  title = {Eigenvalue Algorithms with Several Factorizations -- 
A Unified Theory yet?},
  institution = {Department of Mathematics}, 
  address = {Chalmers Univ of Technology, G{\"o}teborg, Sweden}, 
  number = {1998:11},
  year = {1998}
}
@inproceedings{Ru98p,
  author = {Ruhe, Axel and Skoogh, Daniel},
  title = {Rational {Krylov} Algorithms for Eigenvalue Computation and 
        Model Reduction},
  EDITOR = {K{\aa}gstr{\"{o}}m, B. and Dongarra, J. and Elmroth, E. 
    and Wa{\'s}niewski, J.}, 
         BOOKTITLE = {Applied Parallel Computing. Large Scale Scientific 
                  and Industrial Problems.}, 
                  SERIES = {Lecture Notes in Computer Science, No. 1541}, 
                  YEAR = {1998}, 
                  PAGES = {491-502}
}
@inproceedings{Ru99h,
  author = {Blom, Katarina and Ruhe, Axel},
  title = {Information Retrieval with {Krylov} spaces and 
       {Gaussian} quadrature},
  booktitle = { Talk at the Householder XIV conference,
		  Whistler Resort, Canada, June 14-18},
  year = {1999}
}
@inbook{Ru00k,
author = {Axel Ruhe},
		  title = {A Rational Krylov algorithm for nonlinear
		  matrix eigenvalue problems},
		  booktitle = {Numerical Methods and Algorithms. Part
		  XIV},
		  series = {Zapiski Nauchnyh Seminarov POMI},
                  address = {S:t Petersburg},
		  volume = {268},
		  editors = {L. Yu. Kolotilina and V. N. Simonova},
		  pages = {176-180},
		  year = {2000}
		  }
		  
@inproceedings{BloRu:01,		  
author = {Katarina Blom and Axel Ruhe}, 
title ="Information Retrieval Using Very Short
     {Krylov} Sequences", 
booktitle = {Computational Information Retrieval},
series = {Proceedings in Applied Mathematics},
volume = {106},
editor = {M.W. Berry},
publisher ={SIAM,
     Philadelphia},
year = {2001}, 
pages = {41-56}
}
@article{BloRu:05,		  
author = {Katarina Blom and Axel Ruhe}, 
title ="Information Retrieval using a 
     {Krylov} subspace method", 
year = {2005}, 
journal ={SIAM Journal on Matrix Analysis and Applications},
volume = {26},
pages = {566-582}
}
		  
@inproceedings{Ru04,
  author = {Ruhe, Axel},
  title = {Rational {Krylov} for Large Nonlinear Eigenproblems},
  EDITOR = {Dongarra, J. and Madsen, K. 
    and Wa{\'s}niewski, J.}, 
         BOOKTITLE = {Applied Parallel Computing. State of the Art in Scientific Computing}, 
                  SERIES = {Lecture Notes in Computer Science, No. 3732}, 
   
                           YEAR = {2006}, 
                  PAGES = {357-363}
}