Eigenvalue-eigenvector structure of Schoenmakers–Coffey matrices via Toeplitz technology and applications

Eigenvalue-eigenvector structure of Schoenmakers–Coffey matrices via Toeplitz technology and applications

[1]  E. E. Tyrtyshnikov.  A unifying approach to some old and new theorems on distribution and clustering , 1996 .

[2]  Philip Hartman,et al.  Difference equations: disconjugacy, principal solutions, Green’s functions, complete monotonicity , 1978 .

[3]  Wayne Barrett.  A theorem on inverse of tridiagonal matrices , 1979 .

[4]  Paolo Tilli,et al.  Locally Toeplitz sequences: spectral properties and applications , 1998 .

[5]  J. Schoenmakers,et al.  Systematic Generation of Parametric Correlation Structures for the LIBOR Market Model , 2003 .

[6]  Paolo Tilli,et al.  A note on the spectral distribution of toeplitz matrices , 1998 .

[7]  S. Serra Capizzano,et al.  Generalized locally Toeplitz sequences: spectral analysis and applications to discretized partial differential equations , 2003 .

[8]  D. Noutsos,et al.  The conditioning of FD matrix sequences coming from semi-elliptic differential equations , 2008 .

[9]  William F. Trench,et al.  Characteristic polynomials of symmetic rationally generated toeplitz matrices , 1987 .

[10]  William F. Trench,et al.  Interlacement of the even and odd spectra of real symmetric Toeplitz matrices , 1993 .

[11]  U. Grenander,et al.  Toeplitz Forms And Their Applications , 1958 .

[12]  Stefano Serra-Capizzano,et al.  The GLT class as a generalized Fourier analysis and applications , 2006 .

[13]  M. Capovani.  Sulla determinazione della inversa delle matrici tridiagonali e tridiagonali a blocchi , 1970 .

[14]  Eugene E. Tyrtyshnikov,et al.  Spectra of multilevel toeplitz matrices: Advanced theory via simple matrix relationships , 1998 .

[15]  Allan Pinkus.  Totally Positive Matrices , 2009 .

[16]  L. Martellini,et al.  Fixed-Income Securities: Valuation, Risk Management and Portfolio Strategies , 2003 .

[17]  E. Salinelli,et al.  Shift, slope and curvature for a class of yields correlation matrices , 2007, 1207.3201.

[18]  A. Böttcher,et al.  Introduction to Large Truncated Toeplitz Matrices , 1998 .

[19]  R. Bhatia.  Matrix Analysis , 1996 .

[20]  C. Sgarra,et al.  Correlation matrices of yields and total positivity , 2005 .

[21]  C. Sgarra,et al.  Some Results on Correlation Matrices for Interest Rates , 2011 .

[22]  R. Lord,et al.  Level–Slope–Curvature – Fact or Artefact? , 2005 .

[23]  B. W. Golub,et al.  Measuring Yield Curve Risk Using Principal Components, Analysis, Value, At Risk, And Key Rate Durations , 1997 .

[24]  A. Cantoni,et al.  Eigenvalues and eigenvectors of symmetric centrosymmetric matrices , 1976 .

[25]  Riccardo Rebonato.  Modern pricing of interest-rate derivatives , 2002 .

[26]  S. Serra Capizzano,et al.  Distribution results on the algebra generated by Toeplitz sequences: a finite-dimensional approach , 2001 .

[27]  Stefano Serra Capizzano,et al.  Singular‐value (and eigenvalue) distribution and Krylov preconditioning of sequences of sampling matrices approximating integral operators , 2014, Numer. Linear Algebra Appl..

[28]  R. J. Stroeker.  Approximations of the eigenvalues of the covariance matrix of a first-order autoregressive process , 1983 .

[29]  J. Cooper.  TOTAL POSITIVITY, VOL. I , 1970 .