Science

• iterative methods for solving linear systems
• fast and stable singular decomposition algorithms
• stability and accuracy of algorithms in numerical linear algebra

• September 1992 - started the studies of mathematics at Department of Mathematics, University of Zagreb
• September 1994 - chose courses in applied mathematics and computer science
• October 1997 - graduated as engineer of mathematics
• October 1997 - started the postgraduate studies of mathematics at Department of Mathematics, University of Zagreb
• February 1998 - started working as a scientific novice at Department of Mathematics, University of Zagreb
• December 2001 - defended my master thesis on Iterative methods for solving linear systems
• September 2002 - attended the summer school in Budapest on subject Function analysis, differential equations, numerical analysis
• June 2004 - attended the summer school in Hvar on subject Cell biology and mathematical modelling
• April 2006 - defended my doctoral thesis on Fast Methods for Large Scale Singular Value Decomposition
• November 2007 - elected for a position of assistant teacher

• Master thesis : Iterative methods for solving linear systems,
  Department of Mathematics, University of Zagreb, 2001 (in Croatian) (dvi,ps,pdf.)
  
  
• On Efficient Solution of Linear Systems in Implicit Discretization of the Shallow Water Equation
  exposition on 2nd Croatian Congress of Mathematics in Zagreb 2000
  
  
• Numerical stability of Krylov subspace iterative methods for solving linear systems, In Z. Drmač, V. Hari, L. Sopta, Z. Tutek, K. Veselić, editors, Applied Mathematics and Scientific Computing, Kluwer Academic/Plenum publishers, New York, 2003, pages 209 - 217.
  
  
• Accuracy and efficiency of one--sided bidiagonalization algorithm
  exposition on 3rd Croatian Congress of Mathematics in Split 2004
  
  
• J. L. Barlow, N. Bosner, Z. Drmač,
  A new stable bidiagonal reduction algorithm,
  Linear Algebra and its Application, volume 397, March 2005, pages 35 - 84.
  
  
• N. Bosner, Z Drmač,
  On accuracy properties of one-sided bidiagonalization algorithm and its applications,
  In Z. Drmač, M. Marušić, Z. Tutek, editors, Proceedings of the Conference on Applied Mathematics and Scientific Computing, Springer, Dordrecht, 2005, pages 141 - 150.
  
  
• Doctoral thesis : Fast Methods for Large Sca le Singular Value Decomposition,
  Department of Mathematics, University of Zagreb, 2006.
  
  
• N. Bosner, J. L. Barlow,
  Block and parallel versions of one-sided bidiagonalization,
  SIAM Journal on Matrix Analysis and Applications, volume 29, issue 3, 2007, pages 927 - 953.
  
  
• N. Bosner
  Increasing efficiency of inverse iteration,
  Annali dell'Universita di Ferrara,volume 54, issue 2, 2008, pages 203 - 216.
  
  
• N. Bosner, Z. Drmač,
  Subspace Gap Residuals for RayleighRitz Approximations,
  SIAM Journal on Matrix Analysis and Applications, volume 31, issue 1, 2009, pages 54 - 67.
  
  
• N. Bosner, Z. Bujanović, Z. Drmač
  Efficient Generalized Hessenberg Form and Applications,
  ACM Transactions on Mathematical Software, volume 39, issue 3, 2013, pages 19:1 - 19:19
  
  
• N. Bosner
  Efficien t algorithm for simultaneous reduction to the m-Hessenberg-triangular-triangular form,
  BIT Numerical Mathematics, volume 55, issue 3, 2015, pages 677 - 703, DOI: 10.1007/s10543-014-0516-y
  
  
• N. Bosner
  Balancing three matrices in control theory,
  Mathematical communications, volume 19, issue 3, 2014, pages 497 - 516.
  
  
• N. Bosner, L. Karlsson
  Parallel and heterogeneous m-Hessenberg-triangular-triangular reduction,
  SIAM Journal on Scientific Computing, volume 39, issue 1, 2017, pages C29 - C47.
  
  
• N. Bosner, Z. Bujanović, Z. Drmač
  Parallel solver for shifted systems in a hybrid CPU-GPU framework,
  SIAM Journal on Scientific Computing, volume 40, issue 4, 2018, pages C605 - C633.
  
  
• N. Bosner
  Parallel reduction of four matrices to condensed form for a generalized matrix eigenvalue algorithm,
  Numerical Algorithms, online, 2020.
  
  

Teaching

• History of computer science (in Croatian)
• Scientific computing 1 (in Croatian)
• Scientific computing 2 (in Croatian)
• Numerical methods of financial mathematics (in Croatian)
• Numerical analysis (postgraduate course) (in Croatian)

Consulting time for the school year 2019/20 in the summer semester is :

• Monday 10.00 - 12.00 in the office 302 - during the lectures.
• by appointment - during the exams.

Other interests

My family

Speleology (caving)

• passed the exam for caver at Caving Committee of Croatian Mountaineering Union - 1997.
• had the function of librarian of the Caving Section - 1996.-97.
• had the function of head of the Caving Section - 1998.-99., 2004.
• was conducting caving school - 1998.,1999.,2001.,2003.

Favorite books

• Daniel Quinn : Ishmael
• Daniel Quinn : The Story of B
• Daniel Quinn : My Ishmael
• Daniel Quinn : Beyond Civilization
• Richard Dawkins : The Selfish Gene
• Richard Dawkins : The Blind Watchmaker
• Desmond Morris : The Human Animal
• Desmond Morris : Bodywatching
• Jean Liedloff : The Continuum Concept
• Derrick Jensen : A Language Older Than Words
• James Lovelock : The Ages Of Gaia