Scroll down to see also (or quick jump to):
Book chapters, Ph.D.
thesis, or Other publications.
Refereed publications:
- Plamen Koev
Accurate eigenvalues and exact zero Jordan blocks of totally nonnegative matrices
Submitted for publication, 2018.
- Cy Chan, Vesselin Drensky, Alan Edelman, Raymond Kan, and Plamen Koev
On computing Schur functions and series thereof
Accepted in J. Algebr. Comb., 2018.
- 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.
- Raymond Kan and Plamen Koev
Densities of the extreme eigenvalues of the Beta--MANOVA ensemble
Submitted to Random Matrices: Theory and Applications, 2017.
- Alan Edelman, Plamen Koev,
Eigenvalue distributions of Beta-Wishart matrices
Random Matrices: Theory and Applications., 03, 1450009, 2014.
- Alexander Dubbs, Alan Edelman, Plamen Koev, Praveen Venkataramana
The Beta--Wishart ensemble
J. Math. Phys., 54, 083507, 2013.
- 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.
- Froilan Dopico, Plamen Koev
Perturbation
theory
for the LDU
factorization and accurate computations for diagonally dominant
matrices
Numerische Mathematic 119 (2011), pp. 337-371.
- Froilan M. Dopico, Plamen Koev, and Juan M. Molera
Implicit standard Jacobi gives high relative accuracy
Numerische Mathematik 113 (2009), pp. 519-553.
- 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.
- Froilan Dopico and Plamen Koev
Bidiagonal decompositions of oscillating systems of vectors
Linear Algebra Appl. 428 (2008), pp. 2536-2548.
- James Demmel, Ioana Dumitriu, Olga Holtz, and Plamen Koev
Accurate and efficient expression evaluation and linear algebra
Acta Numerica, 17 (2008), pp. 87-145.
- Ioana Dumitriu and Plamen Koev
Distributions of the extreme eigenvalues of Beta-Jacobi
random matrices
SIAM J. Matrix Anal. Appl. 30 (2008), 1-6.
- Plamen Koev
Accurate computations with totally nonnegative matrices
SIAM J. Matrix Anal. Appl. 29 (2007), 731-751.
- Plamen Koev and Froilan Dopico
Accurate eigenvalues of certain sign regular matrices
Linear Algebra Appl. 424 (2007) 435-447.
- 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.
- James Demmel and Plamen Koev
Accurate SVDs of polynomial Vandermonde matrices
involving orthonormal polynomials
Linear Algebra Appl., 417 (2006) 382-396.
- Pierre-Antoine Absil, Alan Edelman, and Plamen Koev
On the largest principal angle between random subspaces
Linear Algebra Appl. 414 (2006), 288-294.
- Plamen Koev and Alan Edelman
The efficient evaluation of the hypergeometric function of a matrix
argument
Math. Comp. 75 (2006), 833-846.
- James Demmel and Plamen Koev
Accurate and efficient evaluation of Schur and Jack functions
Math. Comp. 75 (2006), 223-239.
- Plamen Koev
Accurate eigenvalues and SVDs of totally nonnegative matrices
SIAM J. Matrix Anal. Appl. 27 (2005), 1-23.
- 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.
- James Demmel and Plamen Koev
Accurate SVDs of weakly diagonally dominant
M-matrices
Num. Math. 98 (2004), 99-104.
- 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.
- Nina Boiadjieva and Plamen Koev
Thermal model of a thinned-die cooling system
J. Electronic Packaging 126 (2004), no.4, 435-439.
- 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.
- 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.
- 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
-
Matrix-Vector and Matrix-Matrix
Multiplications (Sec.10.2)
(with J. Dongarra and X. Li),
and
A Brief
Survey of Direct Linear Solvers (Sec.10.3)
(with J. Demmel and X. Li)
in Z. Bai, J. Demmel, J.
Dongarra, A. Ruhe, and H. van der Vorst, editors.
Templates for the
Solution of Algebraic Eigenvalue Problems: A Practical Guide,
SIAM,
Philadelphia, 2000.
Ph.D. thesis
Other publications:
- Matrices with displacement structure.
(PDF). These
are my own
notes while researching this topic.