Preprints: Parameter Dependent Matrices

• On smooth decompositions of matrices. [With T. Eirola. In SIAM J. Matrix Analysis & Applications 20 (1999), pp. 800-819.]
• Smoothness and periodicity of some matrix decompositions. [With J.L. Chern. In SIAM J. Matrix Analysis & Applications 22 (2000), pp. 772-792.]
• Continuation of invariant subspaces. [With M. Friedman. In Applied Numerical Linear Algebra 8 (2001), pp. 317-327.]
• Continuation of Eigendecompositions. [With A. Papini. In Future Generation Computer Systems 19-7 (2003), pp. 363-373.]
• Continuation of singular value decompositions. [With M.G. Gasparo, A. Papini. In Med. J. of Mathematics 2 (2005), pp. 179-203.]
• Path following by SVD. [With M.G. Gasparo, A. Papini. In Lecture Notes in Computer Science N. 3994, Springer--Verlag (2006), pp. 677-684.]
• Smoothness of Hessenberg and bidiagonal forms. [With M.G. Gasparo, A. Papini. In Med. J. of Mathematics 5-1 (2008), pp. 21--31.]
• Singular values of two-parameter matrices: An algorithm to accurately find their intersections. [With A. Pugliese. In Mathematics and Computers in Simulation, 79--4 (2008), pp. 1255-1269.]
• Two-parameter SVD: Coalescing singular values and periodicity. [With A. Pugliese. In SIAM J. Matrix Analysis 31-2 (2009), pp. 375-403.]
• Locating coalescing singular values of large two-parameter matrices. [With M.G. Gasparo, A. Papini, A. Pugliese. In Mathematics and Computers in Simulation 81-5 (2011), pp. 996-1005.]
• Hermitian matrices depending on three parameters: Coalescing eigenvalues. [With A. Pugliese. In Linear Algebra and its Applications 436 (2012), pp. 4120--4142.]
• Approximating coalescing points for eigenvalues of Hermitian matrices of three parameters. [With A. Papini, A. Pugliese. In SIAM J. Matrix Analysis 34-2 (2013), pp. 519--541.]
• Hermitian matrices of three parameters: perturbing coalescing eigenvalues and a numerical method. [With A. Pugliese. In Mathematics of Computation, Volume 84 (2015), pp. 2763--2790.]
• Coalescing points for eigenvalues of banded matrices depending on parameters with application to banded random matrix functions. [With A. Papini and A. Pugliese. In Numerical Algorithms (2018), pp. 1-26.]
• Decompositions and coalescing eigenvalues for symmetric definite pencils depending on parameters. [With A. Papini and A. Pugliese. Numerical Algorithms 91 (2022), pp. 1879-1910.]
• Takagi Factorization of Matrices Depending on Parameters and Locating Degeneracies of Singular Values. [With A. Papini and A. Pugliese. SIAM Journal on Matrix Analysis and Applications 43-3 (2022), pp. 1148-1161.]
• SVD, joint-MVD, Berry phase, and generic loss of rank for a matrix valued function of 2 parameters. [With A. Pugliese. Linear Algebra and its Applications (2024).]