Department of Mathematics and Systems Analysis


Research reports by Marko Huhtanen

Here are the reports authored by Marko Huhtanen. See the reports of all authors.

Helsinki University of Technology Institute of Mathematics Research Reports A

Marko Huhtanen, Jan von Pfaler
The real linear eigenvalue problem in C^n   [pdf][ps] abstract: [pdf][ps]
Received 2003-11-28 * R-linear operator in C^n, spectrum, characteristic bivariate polynomial, real algebraic plane curve, path following techniques * AMS 14Q05, 15A04, 65F15 * 32 pages
Timo Eirola, Marko Huhtanen, Jan von Pfaler
Solution methods for R-linear problems in C^n   [pdf][ps][pdf.gz][ps.gz] abstract: [pdf][ps]
Received 2002-10-09 / Revised 2002-10-29 * real linear operator in C^n, characteristic bivariate polynomial, isometry, LU--decomposition, QR--factorization, iterative methods, consimilarity * AMS 15A04, 65F10 * 32 pages
Marko Huhtanen
Aspects of nonnormality for iterative methods   [pdf][ps] abstract: [pdf][ps]
Received 2002-09-26 * nonnormal matrix, binormal matrix, polynomially normal operator, unitary orbit, involution, iterative methods, Ritz values, measure of nonnormality * AMS 65F10, 65F15 * 25 pages
Marko Huhtanen
Combining normality with the FFT techniques   [pdf][ps] abstract: [pdf][ps]
Received 2002-09-24 * normal matrix, FFT, Toeplitz matrix, persymmetric matrix, normal embedding, Kronecker product, preconditioning, 5-term recurrence * AMS 15A57, 65F10, 65T50 * 26 pages
Marko Huhtanen
A Hermitian Lanczos method for normal matrices   [pdf][ps]
Received 2000-01-30 * normal matrix, GMRES, Toeplitz decomposition, Hermitian Lanczos * AMS 65F10
Marko Huhtanen
A matrix nearness problem related to iterative methods   [pdf][ps]
Received 1999-10-30 * Nearness problem, iterative methods, short term recurrence * AMS 65F10, 15A23
Marko Huhtanen
Pole assignment problems for error bounds for GMRES   [pdf][ps]
Received 1999-08-30 * GMRES, error bounds, pole assignment problem, nonnormality * AMS 65F10
Marko Huhtanen
A stratification of the set of normal matrices   [pdf][ps]
Received 1999-05-30 * normal matrix, stratified submanifold, Toeplitz decomposition, Arnoldi iteration, eigenvalue problem * AMS 65F, 15A57
Marko Huhtanen
Ideal GMRES can be bounded from below by three factors   [pdf][ps]
Received 1999-01-30 * iterative methods, Krylov subspace, ideal GMRES, nonnormality, pole placement, condition number, ill-conditioned eigenvalue, optimal diagonalization * AMS 65F10, 65F15, 15A18, 15A45

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