GRUPO DE INVESTIGACIÓN
Álgebra Lineal y Análisis Matricial
Instituto de Matemática Aplicada San Luis
(UNSL_CONICET)
Álgebra Lineal y Análisis Matricial
Instituto de Matemática Aplicada San Luis
(UNSL_CONICET)
Trabajos
Morillas P. M.
Generalized inverses, ideals, and projectors in rings
arXiv:2304.06149
Díaz. J. P., Heineken S. B., Morillas P. M.
Approximate oblique dual frames
Applied Mathematics and Computation
2023
arXiv:2012.11452
Köhldorfer L., Balazs P., Casazza P., Heineken S., Hollomey C., Morillas P., Shamsabadi M.
A Survey of Fusion Frames in Hilbert Spaces
In: Casey, S.D., Dodson, M.M., Ferreira, P.J.S.G., Zayed, A. (eds) Sampling, Approximation, and Signal Analysis. Applied and Numerical Harmonic Analysis. Birkhäuser, Cham. pp. 245-328
2023
arXiv:2303.01202
Morillas P. M.
Expressions and characterizations for the Moore-Penrose inverse of operators and matrices
Electronic Journal of Linear Algebra
2023
Martínez F. N.
Symmetric functions and spherical t-designs in R^2.
Designs, Codes and Cryptography (2021).
Morillas P. M.
Dual finite frames for vector spaces over an arbitrary field with applications
Armenian Journal of Mathematics 13 (2), 1-36, 2021
Heineken S. B., Morillas P. M., Tarazaga P.
Balanced frames: a useful tool in signal processing with good properties
Results in Mathematics 75 (4), 1-30, 2020
Balazs P., Heineken S.
An Operator Based Approach to Irregular Frames of Translates
Mathematics; Año: 2019 vol. 7
Heineken S. B., Morillas P. M.
Oblique dual Fusion Frames.
Numerical Functional Analysis and Optimization 39 (7), 800-824, 2018
Heineken S. B., Llarena J. P., Morillas, P. M.,
On the minimizers of the fusion frame potential,
Mathematische Nachrichten; 291; 4; 3-2018; 669-681
Morillas P. M.
Optimal dual fusion frames for probabilistic erasures
Electronic Journal of Linear Algebra, 2017
Kurata, H., Tarazaga, P. (2015).
The cell matrix closest to a given Euclidean distance matrix.
Linear Algebra and its Applications, 485, 194-217.
S. Heineken, E. Matusiak, V. Paternostro, Perturbed frame sequences: canonical dual systems, approximate reconstructions and applications, International Journal of Wavelets, Multiresolution and Information Processing; 2014 vol. 12.
Carrizo I., Heineken S.
Critical pairs of sequences of a mixed frame potential
Numerical functional analysis and optimization, 2014 vol. 35 p. 665 - 684
Heineken S. B., Morillas P. M.
Properties of finite dual fusion frames
Linear algebra and its applications, 2014 vol. 453 p. 1 - 27
S. Heineken; P. M. Morillas; A. Benavente, M. Zakowicz
Dual Fusion Frames
Archiv der mathematik Año: 2014 vol. 103 p. 355 - 365
Tarazaga, P., Kurata, H. (2014). On Cell Matrices: A Class of Euclidean Distance Matrices. Applied Mathematics and Computation, Volume 238, 468-474.
Andreani, R., Raydan, M., Tarazaga, P. (2013). On the geometrical structure of symmetric matrices. Linear Algebra and its Applications, 436, 1201-1214.
P. M. Morillas, “Harmonic reconstruction systems”. Electronic Journal of Linear Algebra 26, 692-705, 2013.
Kurata, H., Tarazaga, P. (2012). Majorization for eigenvalues of Euclidean Distance Matrices. Linear Algebra and Applications, 436(5), 1473-1481.
P. Balazs, C. Cabrelli, S. Heineken, U. Molter, Frames by Multiplication, Current Development in Theory and Applications of Wavelets; Año: 2011 vol. 5 p. 165 - 186
P. M. Morillas, “Group reconstruction systems”. Electronic Journal of Linear Algebra 22, 875-911, 2011.
Kurata H., Tarazaga, P. (2010). Multiespherical Euclidean Distance Matrices. Linear Algebra and its Applications, 433(3), 534-546.
Tarazaga, P., E., Gallardo J. E., (2009). Euclidean Distance Matrices: New Characterizations and Boundary Properties. Lionear and Multilinear Algebra, 57(7), 651-658.
Tarazaga, P., C. D. (2009). Preconditioner generated by Minimizing Norms. Computers & Mathematics with Applications, 57, 1305-1312.
C. R., Tarazaga, P. (2009). Sequential Iterations for Two Diagonal Preconditioners. Computers & Mathematics with Applications, 58, 88-94.
Tarazaga, P., Sterba-Boatwright, B. D., Wijewardena, K. (2007). Euclidean Distance Matrices: Special Subsets, Systems of Coordinates and Multibalanced Matrices. Computational and Applied Mathematics, 26, 415-438.
C. Blanco, C. Cabrelli, S. Heineken, Functions in Sampling Spaces, Sampling Theory in Signal and Image Processing - An International Journal; Año: 2006 vol. 5 p. 275 - 295
C. Cabrelli, S. Heineken, U. Molter, Local Bases for Refinable Spaces, proceedings of the american mathematical society, Año: 2006 vol. 134 p. 1707 - 1718
C. Cabrelli, S. Heineken, U. Molter, Refinable Shift Invariant Spaces in R^d, International Journal of Wavelets, Multiresolution and Information Processing; Año: 2005 vol. 3 p. 321 - 345
Tarazaga, P. (2005).
Faces of the Cone of Euclidean Distance Matrices: Characterizations, Structure and Indiced Geometry
Linear Algebra and its Applications, 408, 1-13.
Morillas P. M.
Dykstra’s algorithm with strategies for projecting onto certain polyhedral cones”
Applied Mathematics and Computation 167 (1), 635-649, 2005.
Generalized inverses, ideals, and projectors in rings
arXiv:2304.06149
Díaz. J. P., Heineken S. B., Morillas P. M.
Approximate oblique dual frames
Applied Mathematics and Computation
2023
arXiv:2012.11452
Köhldorfer L., Balazs P., Casazza P., Heineken S., Hollomey C., Morillas P., Shamsabadi M.
A Survey of Fusion Frames in Hilbert Spaces
In: Casey, S.D., Dodson, M.M., Ferreira, P.J.S.G., Zayed, A. (eds) Sampling, Approximation, and Signal Analysis. Applied and Numerical Harmonic Analysis. Birkhäuser, Cham. pp. 245-328
2023
arXiv:2303.01202
Morillas P. M.
Expressions and characterizations for the Moore-Penrose inverse of operators and matrices
Electronic Journal of Linear Algebra
2023
Martínez F. N.
Symmetric functions and spherical t-designs in R^2.
Designs, Codes and Cryptography (2021).
Morillas P. M.
Dual finite frames for vector spaces over an arbitrary field with applications
Armenian Journal of Mathematics 13 (2), 1-36, 2021
Heineken S. B., Morillas P. M., Tarazaga P.
Balanced frames: a useful tool in signal processing with good properties
Results in Mathematics 75 (4), 1-30, 2020
Balazs P., Heineken S.
An Operator Based Approach to Irregular Frames of Translates
Mathematics; Año: 2019 vol. 7
Heineken S. B., Morillas P. M.
Oblique dual Fusion Frames.
Numerical Functional Analysis and Optimization 39 (7), 800-824, 2018
Heineken S. B., Llarena J. P., Morillas, P. M.,
On the minimizers of the fusion frame potential,
Mathematische Nachrichten; 291; 4; 3-2018; 669-681
Morillas P. M.
Optimal dual fusion frames for probabilistic erasures
Electronic Journal of Linear Algebra, 2017
Kurata, H., Tarazaga, P. (2015).
The cell matrix closest to a given Euclidean distance matrix.
Linear Algebra and its Applications, 485, 194-217.
S. Heineken, E. Matusiak, V. Paternostro, Perturbed frame sequences: canonical dual systems, approximate reconstructions and applications, International Journal of Wavelets, Multiresolution and Information Processing; 2014 vol. 12.
Carrizo I., Heineken S.
Critical pairs of sequences of a mixed frame potential
Numerical functional analysis and optimization, 2014 vol. 35 p. 665 - 684
Heineken S. B., Morillas P. M.
Properties of finite dual fusion frames
Linear algebra and its applications, 2014 vol. 453 p. 1 - 27
S. Heineken; P. M. Morillas; A. Benavente, M. Zakowicz
Dual Fusion Frames
Archiv der mathematik Año: 2014 vol. 103 p. 355 - 365
Tarazaga, P., Kurata, H. (2014). On Cell Matrices: A Class of Euclidean Distance Matrices. Applied Mathematics and Computation, Volume 238, 468-474.
Andreani, R., Raydan, M., Tarazaga, P. (2013). On the geometrical structure of symmetric matrices. Linear Algebra and its Applications, 436, 1201-1214.
P. M. Morillas, “Harmonic reconstruction systems”. Electronic Journal of Linear Algebra 26, 692-705, 2013.
Kurata, H., Tarazaga, P. (2012). Majorization for eigenvalues of Euclidean Distance Matrices. Linear Algebra and Applications, 436(5), 1473-1481.
P. Balazs, C. Cabrelli, S. Heineken, U. Molter, Frames by Multiplication, Current Development in Theory and Applications of Wavelets; Año: 2011 vol. 5 p. 165 - 186
P. M. Morillas, “Group reconstruction systems”. Electronic Journal of Linear Algebra 22, 875-911, 2011.
Kurata H., Tarazaga, P. (2010). Multiespherical Euclidean Distance Matrices. Linear Algebra and its Applications, 433(3), 534-546.
Tarazaga, P., E., Gallardo J. E., (2009). Euclidean Distance Matrices: New Characterizations and Boundary Properties. Lionear and Multilinear Algebra, 57(7), 651-658.
Tarazaga, P., C. D. (2009). Preconditioner generated by Minimizing Norms. Computers & Mathematics with Applications, 57, 1305-1312.
C. R., Tarazaga, P. (2009). Sequential Iterations for Two Diagonal Preconditioners. Computers & Mathematics with Applications, 58, 88-94.
Tarazaga, P., Sterba-Boatwright, B. D., Wijewardena, K. (2007). Euclidean Distance Matrices: Special Subsets, Systems of Coordinates and Multibalanced Matrices. Computational and Applied Mathematics, 26, 415-438.
C. Blanco, C. Cabrelli, S. Heineken, Functions in Sampling Spaces, Sampling Theory in Signal and Image Processing - An International Journal; Año: 2006 vol. 5 p. 275 - 295
C. Cabrelli, S. Heineken, U. Molter, Local Bases for Refinable Spaces, proceedings of the american mathematical society, Año: 2006 vol. 134 p. 1707 - 1718
C. Cabrelli, S. Heineken, U. Molter, Refinable Shift Invariant Spaces in R^d, International Journal of Wavelets, Multiresolution and Information Processing; Año: 2005 vol. 3 p. 321 - 345
Tarazaga, P. (2005).
Faces of the Cone of Euclidean Distance Matrices: Characterizations, Structure and Indiced Geometry
Linear Algebra and its Applications, 408, 1-13.
Morillas P. M.
Dykstra’s algorithm with strategies for projecting onto certain polyhedral cones”
Applied Mathematics and Computation 167 (1), 635-649, 2005.