## Talk by James Nagy, Emory University## SVD Approximations for Large Scale Inverse Problems## AbstractBeginning with his 1982 PhD thesis, SVD: Theory and Applications [1], Per Christian Hansen has written numerous important papers that analyze and promote the use of the singular value decomposition for ill-posed inverse problems. In particular, he makes use of the SVD in his most highly cited publications [2, 3, 4, 5], which currently have more than 10000 citations. Moreover, Per Christian has written at least 14 other journal articles (with another 1800+ citations) that have SVD directly in the title. In this talk we provide a brief historical review of some of this early influential work by Per Christian, and use it as motiviation to develop results for a new SVD approximation for large scale inverse problems. ## References[1] P. C. Hansen. SVD – Theory and Applications. PhD Thesis, Danmarks Tekniske Højskole, Numerisk Institut, 1982. |