svd.bib

% bib file generated according to svd.aux at 2022.07.30-01.08.11.
%
% The recommended format of the bib entry label is:
%
%     <AuthorLastnames_YearLetter>
%
%  For example, the key for an article by Yuan may be:
%
%     Yuan_2000a
%
% It is advised to use the abbreviations of names of serials in Math. Rev.
% See https://mathscinet.ams.org/msnhtml/serials.pdf .
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


% String macros for abbreviations of names of serials.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%MACRO_BEGIN%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
@string{amm = "Amer. Math. Monthly"}
@string{bams = "Bull. Amer. Math. Soc."}
@string{jmpa = "J. Math. Pures Appl."}
@string{pams = "Proc. Amer. Math. Soc."}
@string{set = "Software Environ. Tools"}
@string{sirev = "SIAM Rev."}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%MACRO_END%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


@book{Bai_etal_2000,
    author    = {Bai, Z. and Demmel, J. and Dongarra, J. and Ruhe, A. and {van der Vorst}, H.},
    publisher = {SIAM},
    address   = {Philadelphia},
    series    = set,
    title     = {Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide},
    year      = {2000},
}

@article{Eckart_Young_1939,
    author  = {Eckart, C. and Young, G.},
    journal = bams,
    pages   = {118--121},
    title   = {A principal axis transformation for non-{Hermitian} matrices},
    volume  = {45},
    year    = {1939},
}

@article{Fan_Hoffman_1955,
    author  = {Fan, Ky and Hoffman, A. J.},
    journal = pams,
    pages   = {111--116},
    title   = {Some metric inequalities in the space of matrices},
    volume  = {6},
    year    = {1955},
}

@incollection{Han_Neumann_2013,
    author    = {Han, L. and Neumann, M.},
    editor    = {Hogben, L.},
    publisher = {CRC Press},
    address   = {Boca Raton, FL},
    booktitle = {Handbook of Linear Algebra},
    pages     = {5-1--5-21},
    title     = {Inner Product Spaces, Orthogonal Projection, Least Squares, and Singular Value Decomposition},
    year      = {2013},
}

@book{Horn_Johnson_2012,
    author    = {Horn, R. A. and Johnson, C. R.},
    publisher = {Cambridge University Press},
    address   = {Cambridge},
    edition   = {second},
    title     = {Matrix Analysis},
    year      = {2012},
}

@article{Jordan_1874,
    author  = {Jordan, C.},
    journal = jmpa,
    pages   = {35--54},
    title   = {M\'{e}moire sur les formes bilin\'{e}aires},
    volume  = {19},
    year    = {1874},
}

@article{Koranyi_2001,
    author  = {Kor\'{a}nyi, A.},
    journal = amm,
    pages   = {120--125},
    title   = {Around the finite-dimensional spectral theorem},
    volume  = {108},
    year    = {2001},
}

@article{Lanczos_1958,
    author  = {Lanczos, C.},
    journal = amm,
    pages   = {665--679},
    title   = {Linear Systems in Self-Adjoint Form},
    volume  = {65},
    year    = {1958},
}

@incollection{Mathias_2013,
    author    = {Mathias, R.},
    editor    = {Hogben, L.},
    publisher = {CRC Press},
    address   = {Boca Raton, FL},
    booktitle = {Handbook of Linear Algebra},
    pages     = {24-1--24-16},
    title     = {Singular Values and Singular Value Inequalities},
    year      = {2013},
}

@article{Stewart_1993,
    author  = {Stewart, G. W.},
    journal = sirev,
    pages   = {551--566},
    title   = {On the early history of the singular value decomposition},
    volume  = {35},
    year    = {1993},
}

@book{Trefethen_Bau_1997,
    author    = {Trefethen, L. N. and Bau III, D.},
    publisher = {SIAM},
    address   = {Philadelphia},
    title     = {Numerical Linear Algebra},
    year      = {1997},
}