Marko Huhtanen


Professor of Mathematics at University of Oulu.
In France in Spring 2000 and at Caltech in Spring 2001
Research:
Mathematics of computation: matrix and operator theory, iterative methods, numerical algorithms and applications in mathematical physics

Recent manuscripts:
  • M. Huhtanen and P. Uusitalo: Unbounded eigenvalue problems in the generalized form.
    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.