Marko Huhtanen


Professor of Applied Mathematics at University of Oulu and Adjuct Professor of Numerical Analysis at Aalto University
In France in Spring 2000 and at Caltech in Spring 2001
Research:
Mathematics of computation: matrix and operator theory, iterative methods, eigenvalue problems, numerical algorithms and applications in mathematical physics
Recent manuscripts:
  • M. Huhtanen and O. Nevanlinna: Gradients of quotients and eigenvalue problems. Arxiv, 2022.
    Recent papers:
  • M. Huhtanen and P. Uusitalo: Optimal orthogonalization processes. Science China Math., 2020.
  • M. Huhtanen and V. Kotila: Field of optimal quotients and Hermitianity. Linear Algebra Appl., 563, pp. 527-547, 2019.
  • M. Huhtanen and V. Kotila: Optimal quotients for solving large eigenvalue problems. BIT Numer. Math. 59, pp. 125-154, 2019.
  • M. Huhtanen and O. Seiskari: Matrix intersection problems for conditioning. Banach Center Publ. 112, pp. 195-210, 2017.
  • M. Huhtanen and O. Nevanlinna: Polynomials and lemniscates of indefiniteness. Numer. Math., 133, pp. 233-253, 2016.
  • M. Huhtanen and A. Perämäki: Factoring matrices into the product of circulant and diagonal matrices. J. Fourier Anal. Appl., 21, pp. 1018-1033, 2015.
  • M. Huhtanen: The product of matrix subspaces. Linear Algebra Appl., 471, pp. 150-168, 2015.
  • M. Huhtanen and A. Perämäki: Function theory and spectral mapping theorems for antilinear operators. J. Operator Theory, 72, pp. 451-473, 2014.
  • M. Byckling and M. Huhtanen: Preconditioning with direct approximate factoring of the inverse. SIAM J. Sci. Comput., 36(1), pp. A88-A104, 2014.
  • M. Huhtanen and A. Perämäki: Orthogonal polynomials of the R-linear generalized minimal residual method. J. Approx. Theory, 167, pp. 220-239, 2013.
  • M. Huhtanen and O. Seiskari: Computational geometry of positive definiteness. Linear Algebra Appl., 437, pp. 1562-1578, 2012.
  • M. Huhtanen and A. Perämäki: Numerical solution of the R-linear Beltrami equation. Math. Comp., 81, pp. 387-397, 2012.
  • M. Byckling and M. Huhtanen: Approximate factoring of the inverse. Numer. Math., 117, pp. 507-528, 2011.
  • M. Huhtanen and S. Ruotsalainen: Real linear operator theory and its applications. Integral Equat. Oper. Theory., 69, pp. 113-132, 2011.
  • M. Huhtanen and S. Ruotsalainen: Factoring in the metaplectic group and optics. Operators and Matrices, 5, pp. 173-181, 2011.
  • M. Huhtanen: Differential geometry of matrix inversion. Math. Scand., 107, pp. 267-284, 2010.
  • M. Huhtanen: Rational approximation of the unitary exponential. IMA J. Numer. Anal., 30, pp. 512-524, 2010.
  • M. Huhtanen: Matrix subspaces and determinantal hypersurfaces. Ark. Mat., 48, pp. 57-77, 2010.
  • M. Huhtanen: Approximating ideal diffractive optical systems. J. Math. Anal. Appl., 345, pp. 53-62, 2008.
  • M. Huhtanen: Factoring matrices into the product of two matrices. BIT Numer. Math., 47, pp. 793-808, 2007.
  • M. Huhtanen and O. Nevanlinna: The real linear resolvent and cosolvent operators. J. Operator Theory, 58 (2), pp. 229-250, 2007.
  • M. Huhtanen: Approximations with real linear modules. Numer. Funct. Anal. Optim., 28 (9-10), pp. 1113-1137, 2007.
  • M. Huhtanen: Energy conservation and unitary approximation numbers. J. Math. Phys., 48, 073512, 2007.
  • M. Huhtanen: How real is your matrix? Linear Algebra Appl., 424, pp. 304-319, 2007.
  • M. Huhtanen: Averaging operators for exponential splittings. Numer. Math., 106, pp. 511-528, 2007.
  • M. Huhtanen and O. Nevanlinna: Real linear matrix analysis. Banach Center Publ., 75, pp. 171-189, 2007.
  • M. Huhtanen and O. Nevanlinna: Approximating real linear operators. Studia Math., 179, pp. 7-25, 2007.
  • M. Huhtanen and O. Nevanlinna: A minimum residual algorithm for solving linear systems. BIT Numer. Math., 46, pp. 533-548, 2006. (Germund Dahlquist memorial issue.)
  • M. Huhtanen: Real linear Kronecker product operations. Linear Algebra Appl., 418, pp. 347-361, 2006.
  • M. Huhtanen and J. von Pfaler: The real linear eigenvalue problem in C^n. Linear Algebra Appl., 394, pp. 169-199, 2005.
  • M. Huhtanen: Aspects of nonnormality for iterative methods. Linear Algebra Appl., 394, pp. 119-144, 2005.
  • T. Eirola, M. Huhtanen and J. von Pfaler: Solution methods for R-linear problems in C^n. SIAM J. Matrix Anal. Appl., 25, pp. 804-828, 2004.
  • M. Huhtanen: Two splittings of a square matrix. BIT, 43, pp. 563-570, 2003.
  • M. Huhtanen: Orthogonal polyanalytic polynomials and normal matrices. Math. Comp., 72, pp. 355-373, 2003.
  • M. Huhtanen and R. M. Larsen: On generating discrete orthogonal bivariate polynomials. BIT Numer. Math., 42, pp. 393-407, 2002.
  • M. Huhtanen and R. M. Larsen: Exclusion and inclusion regions for the eigenvalues of a normal matrix. SIAM J. Matrix. Anal. Appl., 23, pp. 1070-1091, 2002.
  • M. Huhtanen: A Hermitian Lanczos method for normal matrices. SIAM J. Matrix. Anal. Appl., 23, pp. 1092-1108, 2002.
  • M. Huhtanen: A matrix nearness problem related to iterative methods. SIAM J. Numer. Anal., 39, pp. 407-422, 2001.
  • M. Huhtanen: A stratification of the set of normal matrices. SIAM J. Matrix. Anal. Appl., 23, pp 349-367, 2001.
  • M. Huhtanen and O. Nevanlinna: Minimal decompositions and iterative methods. Numer. Math., 86, pp. 257-281, 2000.
    Other writings:
  • M. Huhtanen: On computational mathematics. Year Book 2012 of Finnish Academy of Science and Letters, pp. 78-80, 2012.
  • M. Huhtanen: Matriisien faktorointi matemaattisesti ja algoritmisesti, ripauksella fysiikkaa. Arkhimedes 1, s. 18-20, 2013.
    Graduate students:
    Mikko Byckling (Dr.Sc. 2011. Currently at Intel.)
    Allan Perämäki (Dr. Sc. 2012.)
    Santtu Ruotsalainen (Dr. Sc. 2013.)
    Vesa Kotila
    Editorial:
    I am on the editorial board of BIT Numerical Mathematics.