Marko Huhtanen


Professor, University of Oulu.
In France in Spring 2000 and at Caltech in Spring 2001
Research:
Matrix and Operator Theory, Iterative Methods and Numerical Algorithms, Applications in Mathematical Physics
Recent manuscripts:
  • M. Huhtanen and A. Perämäki: Orthogonal polynomials of the R-linear generalized minimal residual method.
  • M. Huhtanen: The product of matrix subspaces.
    Recent papers:
  • M. Huhtanen and O. Seiskari: Computational geometry of positive definiteness. To appear in Linear Algebra Appl.
  • M. Huhtanen and O. Seiskari: Matrix intersection problems for conditioning. To appear in Banach Center Publ.
  • 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, 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, 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, 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.
    Graduate students:
    Mikko Byckling, (Dr.Sc. since January 2011, currently at CERFACS.)
    Allan Perämäki
    Santtu Ruotsalainen

    Participating partner:
    Sixth Framework Programme of the EU, TODEQ.

    In connection with the Special Year in Numerics, in September 3-5, 2008 there is a conference on Numerical Matrix Analysis and Operator Theory at TKK.

    "Matrix theory is operator theory in the most important and the most translucent special case."
    P. Halmos
    "Finite dimensional linear algebra is already as non-commutative as anything can get."
    P. Halmos
    "Complexification is an informal operation for which there are no axioms; we should try to guess."
    V.I. Arnold
    "The shortest path between two truths in the real domain passes through the complex domain."
    J. Hadamard
    "I skate to where the puck is going to be, not to where it has been."
    W. Gretzky