Scroll down to see also (or quick jump to): Book chapters, Ph.D. thesis, or Other publications.

Refereed publications:

  1. Plamen Koev
    Accurate eigenvalues and exact zero Jordan blocks of totally nonnegative matrices
    Submitted for publication, 2018.
  2. Cy Chan, Vesselin Drensky, Alan Edelman, Raymond Kan, and Plamen Koev
    On computing Schur functions and series thereof
    Accepted in J. Algebr. Comb., 2018.
  3. Vesselin Drensky, Alan Edelman, Tierney Genoar, Raymond Kan, and Plamen Koev
    The Densities and Distributions of the Largest Eigenvalue a Beta-Wishart Matrix
    Submitted to Random Matrices: Theory and Applications., 2018.
  4. Raymond Kan and Plamen Koev
    Densities of the extreme eigenvalues of the Beta--MANOVA ensemble
    Submitted to Random Matrices: Theory and Applications, 2017.
  5. Alan Edelman, Plamen Koev,
    Eigenvalue distributions of Beta-Wishart matrices
    Random Matrices: Theory and Applications., 03, 1450009, 2014.
  6. Alexander Dubbs, Alan Edelman, Plamen Koev, Praveen Venkataramana
    The Beta--Wishart ensemble
    J. Math. Phys., 54, 083507, 2013.
  7. Francesca Benanti, Silvia Boumova, Vesselin Drensky, Georgi K. Genov, Plamen Koev
    Computing with rational symmetric functions and applications to invariant theory and PI-algebras
    Serdica Math. J. 38 (2012), 137-188.
  8. Froilan Dopico, Plamen Koev
    Perturbation theory for the LDU factorization and accurate computations for diagonally dominant matrices
    Numerische Mathematic 119 (2011), pp. 337-371.
  9. Froilan M. Dopico, Plamen Koev, and Juan M. Molera
    Implicit standard Jacobi gives high relative accuracy
    Numerische Mathematik 113 (2009), pp. 519-553.
  10. Rafael Canto, Plamen Koev, Beatriz Ricarte, and Ana M. Urbano
    LDU factorizations of nonsingular totally nonpositive matrices
    SIAM J. Matrix Anal. Appl. 30 (2008), no. 2, pp. 777-782.
  11. Froilan Dopico and Plamen Koev
    Bidiagonal decompositions of oscillating systems of vectors
    Linear Algebra Appl. 428 (2008), pp. 2536-2548.
  12. James Demmel, Ioana Dumitriu, Olga Holtz, and Plamen Koev
    Accurate and efficient expression evaluation and linear algebra
    Acta Numerica, 17 (2008), pp. 87-145.
  13. Ioana Dumitriu and Plamen Koev
    Distributions of the extreme eigenvalues of Beta-Jacobi random matrices
    SIAM J. Matrix Anal. Appl. 30 (2008), 1-6.
  14. Plamen Koev
    Accurate computations with totally nonnegative matrices
    SIAM J. Matrix Anal. Appl. 29 (2007), 731-751.
  15. Plamen Koev and Froilan Dopico
    Accurate eigenvalues of certain sign regular matrices
    Linear Algebra Appl. 424 (2007) 435-447.
  16. Froilan Dopico and Plamen Koev
    Accurate symmetric rank revealing decompositions and eigendecompositions of symmetric structured matrices
    SIAM J. Matrix Anal. Appl. 28 (2006), 1126-1156.
  17. James Demmel and Plamen Koev
    Accurate SVDs of polynomial Vandermonde matrices involving orthonormal polynomials
    Linear Algebra Appl., 417 (2006) 382-396.
  18. Pierre-Antoine Absil, Alan Edelman, and Plamen Koev
    On the largest principal angle between random subspaces
    Linear Algebra Appl. 414 (2006), 288-294.
  19. Plamen Koev and Alan Edelman
    The efficient evaluation of the hypergeometric function of a matrix argument
    Math. Comp. 75 (2006), 833-846.
  20. James Demmel and Plamen Koev
    Accurate and efficient evaluation of Schur and Jack functions
    Math. Comp. 75 (2006), 223-239.
  21. Plamen Koev
    Accurate eigenvalues and SVDs of totally nonnegative matrices
    SIAM J. Matrix Anal. Appl. 27 (2005), 1-23.
  22. James Demmel and Plamen Koev
    The accurate and efficient solution of a totally positive generalized Vandermonde linear system
    SIAM J. Matrix Anal. Appl. 27 (2005), 142-152.
  23. James Demmel and Plamen Koev
    Accurate SVDs of weakly diagonally dominant M-matrices
    Num. Math. 98 (2004), 99-104.
  24. James Demmel and Plamen Koev
    Accurate and efficient algorithms for floating point computation
    James M. Hill and Ross Moore, Editors, Applied Mathematics Entering the 21st Century: Invited Talks from the ICIAM 2003 Congress, SIAM, 2004.
  25. Nina Boiadjieva and Plamen Koev
    Thermal model of a thinned-die cooling system
    J. Electronic Packaging 126 (2004), no.4, 435-439.
  26. Francesca Benanti, James Demmel, Vesselin Drensky, and Plamen Koev
    Computational approach to polynomial identities of matrices
    A. Giambruno, Editor, Polynomial Identities and Combinatorial Methods, Dekker, May 2003.
  27. James Demmel and Plamen Koev
    Necessary and sufficient conditions for accurate and efficient rational function evaluation and factorizations of rational matrices
    Structured matrices in mathematics, computer science, and engineering II (Boulder, CO, 1999), 117--143, Contemp. Math., 281, Amer. Math. Soc., Providence, RI, 2001.
  28. Tihomir Asparouhov, Vesselin Drensky, Plamen Koev, and Dimitar Tsiganchev
    Generic 2x2 matrices in positive characteristic
    J. Algebra 225 (2000), no.1, 451-486.

Book chapters

Ph.D. thesis

Other publications:

  1. Matrices with displacement structure. (PDF). These are my own notes while researching this topic.